Technical Field
[0001] The present invention relates to a heat treatment method of a structural material
and a heat-treated structural material.
Priority is claimed on Japanese Patent Application No.
2010-190741, filed August 27, 2010, the content of which is incorporated herein by reference.
Background Art
[0002] As structural materials of a vehicle and the like, pipe-like press-formed products
having polygonal cross-sections have been widely used. Such structural materials are
mainly classified into two categories for use. In one category, there are structures
that are used to construct, for example, an engine compartment or a trunk compartment
and are structures which operate to be crushed when a vehicle or the like crashes
and absorb impact energy. In the other category, there are structures that are used
to construct, for example, a cabin and the like and are structures of which deformation
is suppressed in terms of ensuring a survival space of an occupant when a vehicle
or the like crashes.
[0003] In such structural materials, in order to both absorb impact energy and suppress
deformation during the crash, it is necessary to increase the strength of the structural
material, and there is a method of increasing the cross-sectional dimensions and the
thickness of the structural material. However, this case is connected to an increase
in the volume or the weight of the structural material. Therefore, not only a decrease
in fuel efficiency but also an increase in damage to a counter vehicle during the
crash of vehicles is caused.
[0004] On the other hand, as a method of increasing the strength of the structural material
without increasing the cross-sectional dimensions or the thickness of the structural
material, various methods of partially performing a laser heat treatment on a structural
material such as a press-formed product have been proposed (for example, Patent Citations
1 to 4). Here, the laser heat treatment refers to irradiating an untreated structural
material with a laser beam with a high energy density to locally heat the structural
material to a temperature higher than or equal to a transformation temperature or
a melting point, and causing the structural material to be subjected to quench hardening
by a self-cooling operation.
[0005] For example, in Patent Citation 1, a method of performing a local heat treatment
on a press-formed product by a laser to achieve an increase in the strength of the
press-formed product is disclosed. Specifically, in Patent Citation 1, after cold-forming
a steel sheet, the steel sheet is rapidly heated at a temperature of higher than or
equal to a predetermined temperature with a laser beam in a streak shape or a grid
form and is thereafter cooled, thereby strengthening the cold-formed press-formed
product. By employing such a method, the generation of strain after the heat treatment
is suppressed compared to a case where the entire press-formed product is uniformly
heat-treated. Particularly, in the method disclosed in Patent Citation 1, a laser
heat treatment is performed on the outer surface of a press-formed product in a streak
shape in the longitudinal direction or on the entire outer surface of a press-formed
product in a grid form.
[0006] In addition, even in the method disclosed in Patent Citation 2, performing a local
heat treatment on a press-formed product for the purpose of increasing the strength
of the press-formed body while suppressing the generation of strain is disclosed.
Particularly, in the method disclosed in Patent Citation 2, a site of the press-formed
product which requires strength, for example, a high stress portion analyzed by, for
example, a vehicle crash test or a finite element method is subjected to the heat
treatment. Specifically, a laser heat treatment is performed in a stripe shape or
a grid form so as to extend over the entire length in the longitudinal direction of
the press-formed product.
[0007] Moreover, in Patent Citation 3, a method of controlling components contained in a
steel sheet to be subjected to a laser heat treatment to specific components and then
performing the laser heat treatment thereon is disclosed, and accordingly the strength
of spots subjected to the laser heat treatment is enhanced while maintaining the workability
of the steel sheet. Even in the method disclosed in Patent Citation 3, spots of which
the strength needs to be increased are subjected to the laser heat treatment. Specifically,
the laser heat treatment is performed in a linear form extending over the entire length
in the longitudinal direction of the press-formed product.
[0008] In Patent Citation 4, for the purpose of enhancing the ability to absorb the impact
energy of the press-formed product, a method of performing a laser heat treatment
in a line form along the load direction of a compressive load on the outer peripheral
surface of the press-formed product is disclosed. According to this method, since
the laser heat treatment is performed in the same direction as the input direction
of an impact load, a resistance against deformation can be increased, and a regular
crushing mode may be achieved. Particularly, in the method disclosed in Patent Citation
4, the laser heat treatment is continuously performed over the entire length in the
longitudinal direction of the press-formed product along the load direction of the
compressive load.
[0009] In any case, in any of the methods disclosed in Patent Citations 1 to 4, a laser
heat treatment is performed on a part of the outer surface of the press-formed product,
which requires strength. Specifically, the laser heat treatment is performed in the
line form that continuously extends over the entire length in the longitudinal direction
of the press-formed product, or the laser heat treatment is performed in the grid
form over the entire outer surface of the press-formed product.
Citation List
Patent Literature
[0010]
[Patent Citation 1] Japanese Unexamined Patent Application, First Publication No.
S61-99629
[Patent Citation 2] Japanese Unexamined Patent Application, First Publication No.
H4-72010
[Patent Citation 3] Japanese Unexamined Patent Application, First Publication No.
H6-73439
[Patent Citation 4] Japanese Unexamined Patent Application, First Publication No.
2004-108541
Summary of Invention
Technical Problem
[0011] FIG. 1 schematically illustrates the relationship between, when a cylindrical structural
material receives a compressive load in the axial line direction (x direction) thereof,
the compressive stress in the axial line direction σ
x and the compressive strain ε
x (the amount of deformation in the longitudinal direction with respect to the length
in the longitudinal direction of the cylindrical structural material). Here, σ
1, σ
2, and σ
3 in the figure represent peak stresses, and an area shown by oblique lines W represents
the amount of energy absorbed by the structural material. Particularly, σ
1 represents the initial peak stress.
[0012] Here, as the structural materials used in a vehicle and the like as described above,
there are structural materials that absorb impact energy during a crash (hereinafter,
referred to as "structural materials for impact absorption") and structural materials
that suppress the deformation thereof during a crash (hereinafter, referred to as
structural materials for deformation suppression). The structural materials for impact
absorption thereof require as high as possible an absorption energy amount W and require
a relatively low initial peak stress σ
1.
[0013] On the other hand, the structural materials for deformation suppression require as
high as possible an initial peak stress σ
1 unlike the structural materials for impact absorption. This is because when the initial
peak stress σ
1 is increased, it is difficult for the structural materials to buckle even though
a high stress is applied to the structural material. Therefore, it is necessary to
perform a laser heat treatment on the structural materials for deformation suppression
so as to increase the initial peak stress σ
1.
[0014] However, in the methods disclosed in Patent Citations 1 to 4 described above, since
the laser heat treatment is performed with no consideration of the initial peak stress
σ
1 at all, and thus it is difficult to say that the ability of the structural material
to suppress deformation can be sufficiently increased.
[0015] In consideration of the problems, an object of the present invention is to provide
a structural material which can sufficiently increase an ability to suppress deformation
by performing a heat treatment on appropriate spots of an untreated structural material
and thus locally hardening the structural material.
Solution to Problem
[0016] The inventors have examined, regarding a structural material having at least one
bent portion which extends in one direction (for example, longitudinal direction),
the relationship between an area (spot or amount) of an untreated structural material
on which a heat treatment is performed, and an ability of a structural material after
the heat treatment to suppress deformation, particularly, an initial peak stress.
[0017] As a result, it was found that by appropriately controlling the ratio of a hardened
area that is hardened by the heat treatment in an effective width area of which the
distance in the width direction from each bent portion is within an effective width,
the ability of the structural material to suppress deformation, particularly the initial
peak stress may be enhanced.
[0018] The invention has been made on the basis of the knowledge, and the gist thereof is
as follows.
- (1) A heat treatment method of a structural material according to an aspect of the
present invention is a heat treatment method of a structural material which includes
a bent portion that extends in one direction of the structural material and has a
bend in a direction perpendicular to the one direction, including: determining an
effective width of the bent portion e; defining an effective area as an area which
includes the bent portion and of which a distance in the direction perpendicular to
the one direction from the bent portion is within the effective width, defining a
hardening ratio fM as a ratio between an area which is hardened by a heat treatment in the effective
width area and the effective area, determining a range of the hardening ratio fM on the basis of a rate of change in a yield stress σY with respect to the hardening ratio fM; and performing the heat treatment on the effective width area of the structural
material to satisfy the range of the hardening ratio fM.
[0019]
(2) In the heat treatment method described in (1), the rate of change may be a value
in a case where a value of the hardening ratio fM is 0.
[0020]
(3) In the heat treatment method described in (2), the range of the hardening ratio
fM may be determined so that a work-hardening coefficient Eh calculated on the basis of the rate of change is higher than or equal to a predetermined
value.
[0021]
(4) In the heat treatment method described in (3), the predetermined value may be
a work-hardening coefficient Eh in a case where the hardening ratio fM is 1.
[0022]
(5) In the heat treatment method described in (2), when a difference between a flow
stress in a case where the hardening ratio fM is 1 and a flow stress in the case where the hardening ratio fM is 0 is defined as Δσh, a difference between a yield stress in the case where the hardening ratio fM is 1 and a yield stress in the case where the hardening ratio fM is 0 is defined as ΔσY, and the rate of change is defined as b, the range of the hardening ratio fM may be higher than or equal to fM-min expressed by the following Expression (1) and less than 1.
[Formula 1]

[0023]
(6) In the heat treatment method described in (5), the range of the hardening ratio
fM may be less than or equal to fM-max expressed by the following Expression (2).
[Formula 2]

[0024]
(7) In the heat treatment method described in (1), a boundary hardening ratio fM at which the rate of change becomes equal to a rate of change in the flow stress
σh with respect to the hardening ratio fM may be determined as fM-max, and the range of the hardening ratio fM may be determined on the basis of fM-max.
[0025]
(8) In the heat treatment method described in (7), the range of the hardening ratio
fM may be determined in a range that satisfies the following Expression (3).
[Formula 3]

[0026]
(9) In the heat treatment method described in (7), the range of the hardening ratio
fM may be determined to be higher than or equal to fM-min that satisfies the following Expression (4) and less than 1.
[Formula 4]

[0027]
(10) In the heat treatment method described in (1), when a difference between a flow
stress in a case where the hardening ratio fM is 1 and a flow stress in a case where the hardening ratio fM is 0 is defined as Δσh, the range of the hardening ratio fM may be determined so that a difference between Δσh and the rate of change is less than or equal to a predetermined value.
[0028]
(11) In the heat treatment method described in (1), in a case where, regarding chemical
components contained in the structural material, a mass percentage of carbon is defined
as C, a mass percentage of silicon is defined as Si, a mass percentage of manganese
is defined as Mn, a mass percentage of nickel is defined as Ni, a mass percentage
of chromium is defined as Cr, a mass percentage of molybdenum is defined as Mo, a
mass percentage of niobium is defined as Nb, and a mass percentage of vanadium is
defined as V, the area hardened by the heat treatment may be an area which has a hardness
higher than or equal to a Vickers hardness calculated by the following Expressions
(5) and (6).
[Formula 5]

[Formula 6]

[0029]
(12) In the heat treatment method described in (1), the heat treatment may be performed
using a laser.
[0030]
(13) In the heat treatment method described in (1), a pass of the heat treatment may
be continuously performed over the entire length of the one direction.
[0031]
(14) A heat-treated structural material according to another aspect of the present
invention includes: a bent portion that extends in one direction of the structural
material and has a bend in a direction perpendicular to the one direction, wherein,
in a case where an area which includes the bent portion and of which a distance in
a direction perpendicular to the one direction from the bent portion is within an
effective width e is defined as an effective width area and a ratio of an area which
is hardened by a heat treatment in the effective width area is defined as a hardening
ratio fM, the hardening ratio fM is less than 1 and is contained in a range of the hardening ratio fM determined on the basis of a rate of change in a yield stress σY with respect to the hardening ratio fM.
[0032]
(15) In the heat-treated structural material described in (14), the rate of change
may be a value in a case where a value of the hardening ratio fM is 0.
[0033]
(16) In the heat-treated structural material described in (15), the range of the hardening
ratio fM may be a range determined so that a work-hardening coefficient Eh calculated on the basis of the rate of change is higher than or equal to a predetermined
value.
[0034]
(17) In the heat-treated structural material described in (16), the predetermined
value may be a work-hardening coefficient Eh in a case where the hardening ratio fM is 1.
[0035]
(18) In the heat-treated structural material described in (14), when a difference
between a flow stress in a case where the hardening ratio fM is 1 and a flow stress in a case where the hardening ratio fM is 0 is defined as Δσh, a difference between a yield stress in the case where the hardening ratio fM is 1 and a yield stress in the case where the hardening ratio fM is 0 is defined as ΔσY, and the rate of change is defined as b, the range of the hardening ratio fM may be higher than or equal to fM-min expressed by the following Expression (7).
[Formula 7]

[0036]
(19) In the heat-treated structural material described in (18), the range of the hardening
ratio fM may be less than or equal to fM-max expressed by the following Expression (8).
[Formula 8]

[0037]
(20) In the heat-treated structural material described in (18), each of the flow stresses
may be defined as a proof stress which is when 5% of plastic strain occurs.
[0038]
(21) In the heat-treated structural material described in (19), when a width dimension
perpendicular to the one direction is defined as w, a yield stress in the case where
the hardening ratio fM is 1 is defined as σY0, and a stress at each position in a width direction perpendicular to the one direction
when a stress at which a maximum stress in the one direction of the structural material
is σY0 is given in the one direction is defined as σx, the effective width e may be defined by the following Expression (9).
[Formula 9]

[0039]
(22) In the heat-treated structural material described in (14), when a thickness dimension
is defined as t, a Poisson's ratio is defined as v, an elastic modulus is defined
as E, and a yield stress in a case where the hardening ratio fM is 0 is defined as σY0, the effective width e may be defined by the following Expression (10).
[Formula 10]

[0040]
(23) In the heat-treated structural material described in (14), when a thickness dimension
is defined as t, a width dimension perpendicular to the one direction is defined as
w, an elastic modulus is defined as E, and a yield stress in a case where the hardening
ratio fM is 0 is defined as σY0, the effective width e may be defined by the following Expression (11).
[Formula 11]

[0041]
(24) In the heat-treated structural material described in (14), in a case where, regarding
chemical components contained in the structural material, a mass percentage of carbon
is defined as C, a mass percentage of silicon is defined as Si, a mass percentage
of manganese is defined as Mn, a mass percentage of nickel is defined as Ni, a mass
percentage of chromium is defined as Cr, a mass percentage of molybdenum is defined
as Mo, a mass percentage of niobium is defined as Nb, and a mass percentage of vanadium
is defined as V, the area hardened by the heat treatment may be an area which has
a hardness higher than or equal to a Vickers hardness calculated by the following
Expressions (12) and (13).
[Formula 12]

[Formula 13]

[0042]
(25) In the heat-treated structural material described in (14), the heat treatment
may be performed using a laser.
Advantageous Effects of Invention
[0043] According to the present invention, compared to the conventional technique in which
a heat treatment is performed on arbitrary spots in an untreated structural material
to locally harden the structural material and thus an ability of the structural material
to suppress deformation is enhanced, the value of an elastic-plastic buckling stress
σ
p,Cr corresponding to an initial peak stress σ
1 of buckling can be obtained, and the volume fraction of a hardened area in an effective
width area in which the elastic-plastic buckling stress σ
p,Cr is maximized can be appropriately determined. Accordingly, in a structural material
for deformation suppression, a guideline for appropriate deformation suppression can
be provided.
In addition, according to the present invention, the cost of a heat treatment needed
to enhance the ability of the structural material to suppress deformation can be optimized
(reduced).
In addition, according to the present invention, by measuring the characteristics
of a steel material using specimens, the volume fraction of the hardened area in the
effective width can be appropriately determined from the characteristics values of
the specimens without evaluating a structure. In particular, in the case of (2) described
above, the volume fraction of the hardened area in the effective width can be appropriately
determined using as low a number of evaluations of the specimens as possible.
Brief Description of Drawings
[0044]
FIG. 1 is a diagram schematically illustrating the relationship between, when a cylindrical
structural material receives a compressive load in the axial line direction thereof,
the compressive stress in the axial line direction and the compressive strain.
FIG. 2 is a perspective view illustrating an example of a structural material to which
a heat treatment method of a structural material according to an embodiment of the
present invention is applied.
FIG. 3 is a transverse sectional view of the structural material illustrated in FIG.
2.
FIG. 4A is a transverse sectional view of a structural material of another example.
FIG. 4B is a transverse sectional view of a structural material of another example.
FIG. 4C is a transverse sectional view of a structural material of another example.
FIG. 5 is a perspective view of a structural material of another example.
FIG. 6A is a diagram for explaining effective widths.
FIG. 6B is a diagram for explaining effective widths.
FIG. 7 is a true stress-plastic strain curve of a steel sheet.
FIG. 8 is a true stress-true strain curve of a steel sheet.
FIG. 9A is a true stress-true strain curve of a steel sheet.
FIG. 9B is a true stress-true strain curve of a steel sheet.
FIG. 10 is a diagram showing the relationship between the volume fraction of a hardened
area, the proof stress of a steel sheet, and the yield stress.
FIG. 11 is a diagram showing the relationship between the volume fraction of a hardened
area, the proof stress of a steel sheet, and the yield stress.
FIG. 12 is a diagram showing the relationship between the volume fraction of a hardened
area and a work-hardening coefficient.
FIG. 13A is a diagram illustrating a manufacturing process of a structural material
assembly used in Examples.
FIG. 13B is a diagram illustrating the manufacturing process of a structural material
assembly used in Examples.
FIG. 13C is a diagram illustrating the manufacturing process of a structural material
assembly used in Examples.
FIG. 14 is a side view of the structural material assembly used in Examples.
FIG. 15 is a flowchart of the heat treatment method of a structural material according
to the embodiment.
FIG. 16 is a flowchart showing an example of a method of determining the range of
the volume fraction of the hardened area (hardening ratio) fM in the heat treatment method of a structural material according to the embodiment.
FIG. 17 is a flowchart showing an example of the method of determining the range of
the volume fraction of the hardened area (hardening ratio) fM in the heat treatment method of a structural material according to the embodiment.
FIG. 18 is a flowchart showing an example of the method of determining the range of
the volume fraction of the hardened area (hardening ratio) fM in the heat treatment method of a structural material according to the embodiment.
Description of Embodiments
[0045] Hereinafter, embodiments of the present invention will be described in detail with
reference to the drawings. In addition, in the following description, like elements
are denoted by like reference symbols.
[0046] Hereinafter, a heat treatment method of a structural material according to an embodiment
of the present invention will be described.
In the heat treatment method of a structural material according to this embodiment,
a heat treatment is performed on a structural material having a bent portion which
extends in one direction of the structural material and has a bend in a direction
perpendicular to the extending direction. In the heat treatment, a predetermined ratio
(that is, a part corresponding to a hardening ratio) of an area in the structural
material, including the bent portion of which the distance in the direction perpendicular
to the extending direction of the bent portion is within an effective width (that
is, an effective width area) is hardened.
As described later, the rate of change in yield stress (yield strength) with respect
to a ratio of the area in the effective width area, which is hardened by the heat
treatment, (that is, the hardening ratio) varies depending on the hardening ratio,
and the amount of change (a degree of change) of the rate of change in yield stress
is greater than the amount of change (a degree of change) of the rate of change in
flow stress with respect to the hardening ratio. Therefore, the work-hardening ratio
of the effective width area needed to increase the initial peak stress of the structural
material (an ability to suppress deformation) is influenced by the rate of change
in the yield stress with respect to the hardening ratio. Consequently, by performing
the heat treatment on the effective width area that mainly receives a load exerted
on the structural material so as to satisfy a range of the hardening ratio determined
on the basis of the rate of change in the yield stress with respect to the hardening
ratio, the ability of the structural material to suppress deformation can be enhanced
while reducing cost of the heat treatment.
The flow stress is a stress that occurs at a time point at which a transition to flow
deformation occurs by exceeding the elastic limit and after the time point. In addition,
there may be cases where the hardening ratio is described as a volume fraction.
[0047] In the heat treatment method of a structural material according to this embodiment,
as shown in FIG. 15, necessary data is input (used) (S1), the effective width for
the bent portion is determined (S2), the range of the hardening ratio is determined
on the basis of the rate of change in the yield stress with respect to the hardening
ratio (S3), and the heat treatment is performed on the effective width area of the
structural material so as to satisfy the range of the hardening ratio (S4). Here,
the effective width can be determined from a definition expression for the effective
width, Expression (14), described later or various expressions derived from this definition
expression. In addition, the range of the hardening ratio can be determined using
the rate of change in the yield stress with respect to at least one hardening ratio.
For example, the rate of change in the yield stress with respect to a predetermined
hardening ratio can be determined from a predetermined correlation (for example, an
expression) as a parameter. In addition, for example, the range of the hardening ratio
can be determined on the basis of the hardening ratio when the rate of change in the
yield stress with respect to the hardening ratio satisfies a predetermined condition.
Hereinafter, the heat treatment method of a structural material according to this
embodiment will be described in more detail.
[0048] FIG. 2 is a perspective view illustrating an example of the structural material to
which the heat treatment method of a structural material according to this embodiment
is applied. In addition, FIG. 3 is a cross-sectional view of a structural material
in a cross-section perpendicular to the longitudinal direction of the structural material
illustrated in FIG. 2. As illustrated in FIG. 2, the structural material 10 includes
flat portions 11 (11a to 11e) having flat sheet shapes extending in the longitudinal
direction thereof and a plurality of bent portions 12 (12a to 12d) extending in the
longitudinal direction between the flat portions 11. That is, as illustrated in FIG.
3, the structural material 10 includes five flat portions 11a to 11e and four bent
portions 12a to 12d provided between the flat portions 11a to 11e.
[0049] The structural material 10 is used as a part of the frame of a vehicle such as a
car and is particularly used at a spot of which deformation needs to be suppressed
when a car or the like crashes. Therefore, for example, when the frame of a vehicle
is exemplified, it is preferable that the structural material 10 be used as a frame
that is used to constructs a cabin or the like.
[0050] Particularly, in a case where the structural material 10 is used as a part of the
frame of a vehicle such as a car, as shown by dot-dashed lines of FIGS. 2 and 3, a
member made by welding and joining the structural material 10 to a structural material
20 having a different flat sheet shape is used. Therefore, the flat portions 11a and
11e provided at both edge portions of the structural material 10 from among the five
flat portions 11a to 11e of the structural material 10 are formed in flange shapes.
When the structural material 10 is welded to the different structural material 20,
the flat portions 11a and 11e are welded to the different structural material 20.
[0051] In addition, in the examples illustrated in FIGS. 2 and 3, the structural material
10 has the five flat portions 11 a to 11e and the four bent portions 12a to 12d provided
between the flat portions 11a to 11e. However, the structural material may have any
shape as long as at least one bent portion which extends in one direction thereof
(for example, longitudinal direction) and has a bend in a direction perpendicular
to the extending direction is provided, and for example, may have cross-sectional
shapes as illustrated in FIGS. 4A to 4C.
[0052] In the example shown in FIG. 4A, a structural material 10' includes four flat portions
11 and three bent portions 12 provided between the flat portions 11, and the flat
portions 11 positioned at both ends in the cross-sectional shape thereof function
as flanges for joining the structural material 10' to a structural material (not shown)
having a different flat sheet shape. In the example shown in FIG. 4B, a structural
material 10" includes five flat portions 11 and four bent portions 12 provided between
the flat portions 11, and the flat portions 11 positioned at both ends in the cross-sectional
shape thereof function as flanges for joining the structural material 10" to a structural
material (not shown) having a different flat sheet shape. In the example shown in
FIG. 4C, a structural material 10'" includes four flat portions 11 and four bent portions
12 provided between the flat portions 11 so as to have a quadrangular cross-section.
[0053] In addition, the structural material 10 may not extend linearly in the longitudinal
direction, and for example, may be curved or bent as illustrated in FIG. 5. In a case
where the structural material 10 is curved or bent, the direction along the curving
and bending is referred to as the longitudinal direction. Therefore, in the example
illustrated in FIG. 5, the dot-dashed line Z in the figure represents the longitudinal
direction of the structural material 10. In addition, the flat portion means a part
of the structural material of which the cross-section has a linear shape (band shape).
In addition, the bent portion means a part of the structural material having a line
shape formed by intersection in the extending directions of two flat portions adjacent
to each other in the cross-section of the structural material. Therefore, like flat
portions 11 a to 11e and bent portions 12a to 12d illustrated in FIG. 5, cases where
flat portions and bent portions are curved or bent in the longitudinal direction of
a structural material are respectively included in flat portions and bent portions.
[0054] In the heat treatment method of a structural material according to this embodiment,
a heat treatment (here, a laser heat treatment as an example) is performed on a specific
site of the untreated structural material 10 formed in the shape as described above.
As means for the laser heat treatment, a laser heat treatment device using a carbon
dioxide laser, a YAG laser, a fiber laser, or the like is used. In addition, with
respect to the depth in the sheet thickness direction of an area to be hardened by
the laser heat treatment, the area is hardened into a depth of 10% or more of the
sheet thickness from the surface irradiated with a laser light. In addition, it is
preferable that the depth in the sheet thickness direction of the area to be hardened
by the laser heat treatment be controlled to be less than 90% of the sheet thickness
from the surface irradiated with the laser light. Hereinafter, a site on which the
laser heat treatment is performed will be described.
[0055] When a thin sheet buckles under the compressive load, the stress exerted on the thin
sheet is non-uniformly distributed in the cross-section (sheet width direction) of
the thin sheet which is perpendicular to the exertion direction of the compressive
load. For example, when a thin sheet having a width w as illustrated in FIG. 6A receives
a compressive load as shown by arrows and out-of-plane deformation occurs in the thin
sheet due to elastic buckling, a stress σ
x in the longitudinal direction (x direction) exerted on the cross-section a thereof
is distributed as shown in FIG. 6B. As shown in FIG. 6B, since the stress exerted
on the end portions in the width direction (y direction, that is, w direction) of
the thin sheet is maximized, thus plastic bulking is more likely to occur from the
end portions in the width direction of the thin sheet. Therefore, in an initial stage
of buckling (for example, in the case of the structural material, corresponding to
deformation until reaching an initial peak stress), it may be thought that parts having
a predetermined width from the end surface in the width direction of the thin sheet
receive the compressive load. Therefore, it is assumed that the same stress as the
stress σ
max exerted on the end portions in the width direction of the thin sheet (in the structural
material, corresponding to σ
Y0 described later) is uniformly distributed in the virtual parts having widths 2xe
as shown by the broken lines of FIG. 6B and the virtual parts having the widths 2xe
receive the total load. The width e is called an effective width, and the effective
width e is defined by the following Expression (14), that is, Expression (15).
[0056] [Formula 14]

[0057] [Formula 15]

[0058] The effective width e is expressed by the following Expression (16) using the elastic
modulus E, the Poisson's ratio v, and the thickness t of the thin sheet, and in particular,
the effective width e may be expressed by Expression (17) when the yield stress σ
Y0 of the thin sheet is uniformly distributed.
[0059] [Formula 16]

[0060] [Formula 17]

[0061] In addition, the effective width e expressed by the above Expressions (16) and (17)
are theoretical values, and it is demonstrated that when the theoretical values are
used, experimental results are significantly different from the yield phenomenon depending
on the conditions. Therefore, in consideration of the theoretical results, the effective
width e is defined by, for example, the following Expressions (18A) and (19). In addition,
in Expression (19), λ is a slenderness factor and is determined as in Expression (20)
in the case where the yield stress σ
Y0 of the thin sheet is uniformly distributed in the parts having the effective width
e. In Expression (20), k means a flat sheet buckling coefficient.
[0062] [Formula 18]

[0063] [Formula 19]

[0064] [Formula 20]

[0065] In addition, regarding the definition of the effective width e, as in the following
Expression (18B), there are various definitions besides the above Expression (18A).
In the heat treatment method of a structural material according to this embodiment,
any definition from among the various definitions may be used. In addition, a stress
distribution in the width direction of the thin sheet when the thin sheet buckles
under the compressive load (that is, the stress distribution as shown in FIG. 6B)
is calculated by a numerical analysis (for example, a numerical integral such as the
finite element method), and from the stress distribution calculated as described above,
the effective width e that satisfies the above Expression (14) may be calculated.
[0066] [Formula 21]

[0067] In consideration of the effective width e as described above, even in the structural
material 10 illustrated in FIG. 2 and the like, the area in each of the flat portions
11 that mainly receives the compressive load is an area of which the distance in the
width direction from the bent portion 12 (that is, a direction perpendicular to the
longitudinal direction of the structural material 10) is within the effective width
e. Hereinafter, such an area, that is, the area having a bent portion of which the
distance in the width direction from a certain bent portion is within the effective
width e is referred to as an effective width area. The effective width areas (effective
width areas 15 in FIGS. 2 and 3) are shown by oblique lines in FIG. 2 and the entirety
thereof is shaded in FIG. 3.
[0068] As such, in the heat treatment method of a structural material according to this
embodiment, the effective width of an untreated structural material having at least
one bent portion as illustrated as the bent portions 12 (12a to 12d) of FIG. 3 (bent
portions of a structural material) is determined.
[0069] In the heat treatment method of a structural material according to this embodiment,
a heat treatment (here, a laser heat treatment as an example) is performed on a part
of the effective width area determined as described above. Hereinafter, the ratio
of the area on which the laser heat treatment to the effective width area is performed
will be described.
[0070] FIG. 7 shows a true stress-true plastic strain curve of a steel sheet in a grade
of a tensile strength of 440 MPa. By using the linear hardening law, as shown in FIG.
7, as work-hardening characteristics immediately after the yield of the steel sheet
having such stress-strain characteristics, the work-hardening coefficient E
h is expressed by the following Expression (21). In Expression (21), ε
p represents strain after the steel sheet yields (plastic strain), and σ
h represents stress when the plastic strain is ε
p. In addition, in FIG. 7 and FIGS. 9A and 9B described later, σ
h is described as a stress when the plastic strain ε
p is 1%. As shown in the figures, σ
h may be determined from the stress when the plastic strain ε
p is 1%.
[0071] [Formula 22]

[0072] Regarding the elastic-plastic buckling phenomenon of such a steel sheet, a theoretical
expression that expresses the elastic-plastic buckling stress σ
p,Cr as a function of the work-hardening coefficient E
h is proposed, and the elastic-plastic buckling stress σ
p,Cr is expressed by, for example, the following Expression (22). In the following Expression
(22), w is the width of the steel sheet, t is the thickness of the steel sheet, and
k is the coefficient corresponding to the sheet shape or the like. As can be seen
from Expression (22), the elastic-plastic buckling stress σ
p,Cr increases in proportion to the work-hardening coefficient E
h.
[0073] [Formula 23]

[0074] Here, from the idea that the initial peak stress σ
1 shown in FIG. 1 has the same tendency as the elastic-plastic buckling stress σ
p,Cr, it is thought that the initial peak stress σ
1 also increases in proportion to the work-hardening coefficient E
h. In addition, Expression (22) represents the elastic-plastic buckling stress σ
p,Cr in a steel sheet as illustrated in FIG. 6A and does not represent the elastic-plastic
buckling stress σ
p,Cr regarding a structural material having a polygonal cross-section as illustrated in
FIG. 3. However, when the cross-sectional shape of a structural material is made polygonal,
the cross-sectional shape of the structural material becomes close to a cylindrical
shape, and the elastic-plastic buckling stress σ
p,Cr of a cylindrical shell can be expressed by the following Expression (23). In Expression
(23), R is the diameter of a cylinder.
[0075] [Formula 24]

[0076] As can be seen from Expression (23), even in the cylindrical shell, the elastic-plastic
buckling stress σ
p,Cr increases in proportion to the work-hardening coefficient E
h. Therefore, even in the cylindrical shell, it is thought that the initial peak stress
σ
1 increases in proportion to the work-hardening coefficient E
h.
[0077] FIG. 8 shows true stress-true strain curves of an untreated steel sheet in a grade
of a tensile strength of 440 MPa and the material of a steel sheet in a grade of a
tensile strength of 440 MPa of which the entirety is subjected to a heat treatment
(is quenched). The solid line of FIG. 8 represents the true stress-true strain curve
of the untreated steel sheet, and the broken line represents the true stress-true
strain curve of the steel sheet after the heat treatment.
[0078] Regarding the steel sheet after the heat treatment shown in FIG. 8, when the work-hardening
coefficient E
h immediately after the yield is calculated by applying the linear hardening law as
shown in Fig. 7, the work-hardening coefficient of the untreated steel sheet E
h0 can be expressed by the following Expression (24) (see FIG. 9A). In Expression (24),
σ
Y0 represents the yield stress of the untreated steel sheet, ε
Y0 represents the true strain of the untreated steel sheet at the yield stress, ε
h0 represents a predetermined true strain greater than ε
Y0, and σ
h0 represents the stress (corresponding to a flow stress described later) of the untreated
steel sheet when the true strain is ε
h0. On the other hand, the work-hardening coefficient of the steel sheet after the heat
treatment E
hM can be expressed by the following Expression (25) (see FIG. 9B). In Expression (25),
σ
YM represents the yield stress of the steel sheet after the heat treatment, ε
YM represents the true strain of the steel sheet after the heat treatment at the yield
stress, ε
hM represents a predetermined true strain greater than ε
YM, σ
hM represents the stress (corresponding to a flow stress described later) of the steel
sheet after the heat treatment when the true strain is ε
hM.
[0079] [Formula 25]

[0080] [Formula 26]

[0081] As can be seen from FIGS. 8, 9A, and 9B, when the heat treatment is performed on
the entire steel sheet, the work-hardening coefficient of the steel sheet after the
heat treatment E
hM is greater than the work-hardening coefficient of the steel sheet before the heat
treatment E
h0. Therefore, in the case where the heat treatment is performed on the entire steel
sheet, the steel sheet after the heat treatment has a greater initial peak stress
σ
1 than that of the steel sheet before the heat treatment.
[0082] As such, it is found that between the untreated steel sheet and the steel sheet of
which the entirety is subjected to the heat treatment, the steel sheet of which the
entirety is subjected to the heat treatment has a greater initial peak stress σ
1. However, in a case where the heat treatment is partially performed on the steel
sheet, the relationship between the ratio at which the heat treatment is performed
on the steel sheet, that is, the ratio of an area which is hardened to a predetermined
or higher hardness by the heat treatment (hereinafter, referred to as a hardened area)
to the entire steel sheet and the initial peak stress is found to be unclear.
[0083] Here, the inventors obtained the following knowledge as a result of examining the
relationship between the volume fraction f
M the work-hardening coefficient E
h of the steel sheet after the partial hardening, and the initial peak stress σ
1 when the volume fraction of the hardened area (hardening ratio) f
M with respect to the entire steel sheet is changed from 0 to 100%. Hereinafter, the
obtained knowledge will be described in detail.
[0084] First, in the case where the volume fraction of the hardened area with respect to
the entire steel sheet f
M is changed from 0 to 100%, it is thought that the proof stress σ
h of the steel sheet and the yield stress σ
Y thereof when 5% of plastic strain occurs change as shown in FIG. 10.
[0085] That is, as shown in FIG. 10, the proof stress σ
h of the steel sheet when 5% of plastic strain occurs may be approximated by a substantially
straight line with respect to the volume fraction f
M. This is because when a certain degree of limited plastic strain is given to the
entire steel sheet, substantially the same plastic strain is exerted on both the hardened
area and the non-hardened area (an area of the steel sheet other than the hardened
area, that is, an untreated area).
[0086] Therefore, the proof stress σ
h after giving 5% of plastic strain with respect to the volume fraction of the hardened
area f
M is expressed by the following Expression (26) as a function of the volume fraction
f
M.
[0087] [Formula 27]

[0088] As such, even though an approximation that the proof stress σ
h of the steel sheet is proportionate to the volume fraction of the hardened area f
M (the amount of change of the rate of change in the flow stress with respect to the
hardening ratio is substantially 0) is performed, the relationship between the proof
stress σ
h of the steel sheet and the volume fraction of the hardened area f
M can be sufficiently and accurately expressed.
[0089] On the other hand, as in FIG. 10, when the yield stress σ
Y is approximated by a convex downward curve (for example, a quadratic function) other
than a straight line, the yield stress σ
Y is more accurately expressed using the volume fraction of the hardened area f
M. When the volume fraction of the hardened area f
M is small, the characteristics of the non-hardened area having a relatively small
yield stress becomes dominant in the yield phenomenon, and the entire yield stress
becomes close to the yield stress of the non-hardened area (see Expression (27)).
On the other hand, when the volume fraction of the hardened area f
M increases by a certain degree, the influence of the characteristics of the hardened
area increases when the yield phenomenon occurs. In particular, when the volume fraction
of the hardened area f
M becomes 1, the entire yield stress becomes equal to the yield stress of the hardened
area (see Expression (28)).
[0090] [Formula 28]

[0091] [Formula 29]

[0092] Therefore, in the case where the yield stress σ
Y is approximated by the quadratic function of the volume fraction of the hardened
area f
M, the yield stress σ
Y(σ
Y(f
M)) can be expressed by the following Expression (29) as a function of the volume fraction
f
M. In addition, in Expression (29), a, b, and c are constants.
[0093] [Formula 30]

[0094] Here, when Expression (29) is differentiated once with respect to the volume fraction
f
M and the volume fraction f
M is substituted by 0, the constant b of the above Expression (29) can be represented
by the following Expression (30). That is, the constant b can be approximated by the
gradient of the change in the yield stress σ
Y(f
M) with respect to the volume fraction f
M when the volume fraction of the hardened area f
M is 0.
[0095] [Formula 31]

[0096] When Expressions (26) to (30) obtained as described above are substituted in Expression
(21), the work-hardening coefficient E
h is expressed by a function of the volume fraction of the hardened area f
M, that is, the following Expression (31).
[0097] [Formula 32]

[0098] Here, for example, assuming that the plastic strain ε
p is 0.05, the yield stress of the hardened area σ
YM is 794 MPa, the yield stress of the non-hardened area σ
Y0 is 301 MPa, the proof stress σ
hM of the hardened area when the plastic strain ε
p is given is 1017 MPa, the proof stress σ
h0 of the non-hardened area when the plastic strain ε
p is given is 447 MPa, and b is 350 MPa, σ
h(f
M) calculated by Expression (26) and σ
Y(f
M) calculated by Expression (29) can be expressed by FIG. 11. In addition, here, the
work-hardening coefficient E
h(f
M) calculated by Expression (31) can be expressed by FIG. 12.
[0099] For example, as can be seen from Expression (31), in a case where the yield stress
σ
Y is approximated by a quadratic function (a convex downward function the volume fraction
f
M in a range of 0 to 1) of the volume fraction of the hardened area f
M, the work-hardening coefficient E
h(f
M) can also be expressed as a quadratic function (a convex upward function of the volume
fraction f
M in a range of 0 to 1) of the volume fraction of the hardened area f
M. Accordingly, as can be seen from FIG. 12, the work-hardening coefficient E
h(f
M) is maximized at a specific volume fraction f
M-max. Therefore, there may be cases where the work-hardening coefficient E
h(f
M) is higher than the work-hardening coefficient which is when the volume fraction
of the hardened area f
M is 1 (100%) depending on the volume fraction of the hardened area f
M. In the example shown in FIG. 12, when the volume fraction of the hardened area f
M is f
M-min to 1, the work-hardening coefficient E
h is higher than or equal to the work-hardening coefficient E
h (f
M=1) which is when the volume fraction of the hardened area f
M is 1 (100%). In other words, in the example shown in FIG. 12, the initial peak stress
when the volume fraction of the hardened area f
M is f
M-min to 1 becomes higher than or equal to the initial peak stress which is when the volume
fraction of the hardened area f
M is 1 (100%) (that is, when the heat treatment is performed on the entire effective
width).
[0100] However, as described above, as the heat treatment for locally hardening a part of
the steel sheet, for example, the laser heat treatment is used. In such a laser heat
treatment, the amount of energy consumed increases as the treatment area increases,
resulting in an increase in manufacturing cost. Accordingly, in terms of a reduction
in manufacturing cost, it is preferable that an area on which the laser heat treatment
be as narrow as possible.
[0101] Here, as described above, when the volume fraction of the hardened area f
M is higher than or equal to f
M-min, the work-hardening coefficient E
h can be increased to be higher than or equal to the work-hardening coefficient E
h(f
M=1) which is when the volume fraction of the hardened area f
M is 1 (100%). As a result, the initial peak stress can be increased to be higher than
or equal to the initial peak stress which is when the volume fraction of the hardened
area f
M is 1 (100%). Here, it is preferable that the volume fraction of the hardened area
f
M be controlled to be higher than the volume fraction f
M-min (hereinafter, referred to as "minimum volume fraction") which is when the work-hardening
coefficient E
h(f
M=1) which is when the volume fraction of the hardened area f
M is 1 (100%) becomes equal to the work-hardening coefficient E
h(f
M=f
M-min) thereof.
[0102] In addition, for example, in the case where the yield stress σ
Y is approximated by a quadratic function of the volume fraction of the hardened area
f
M, the minimum volume fraction f
M-min is expressed by the following Expression (32). In Expression (32), Δσ
h is the difference between σ
hM and σ
h0 (Δσ
h=σ
hM-σ
h0), Δσ
Y is the difference between σ
YM and σ
Y0 (Δσ
Y=σ
YM-σ
Y0). In particular, in the case of the conditions as described above (that is, the case
of the conditions shown in FIGS. 11 and 12), the minimum volume fraction f
M-min is 53.3%. In addition, since the minimum volume fraction f
M-min needs to satisfy 0<f
M-min<1, the constants b and Δσ
h also need to satisfy 0<b<2Δσ
Y-Δσ
h and Δσ
Y<Δσ
h<2Δσ
Y.
[0103] [Formula 33]

[0104] In addition, as described above, the work-hardening coefficient E
h(f
M), that is, the initial peak stress is maximized at a specific volume fraction f
M-max. Accordingly, in terms of increasing the initial peak stress while narrowing the
area on which the laser heat treatment is performed, it is preferable that the volume
fraction of the hardened area f
M be controlled to be less than or equal to the volume fraction f
M-max which is when the work-hardening coefficient E
h(f
M) is maximized.
[0105] Otherwise, in terms of maximizing the peak stress of a steel sheet (structural material),
it is preferable that the volume fraction of the hardened area f
M be controlled to be the volume fraction f
M-max which is when the work-hardening coefficient E
h(f
M) is maximized. Therefore, the volume fraction of the hardened area f
M may be controlled to be the volume fraction f
M-max (hereinafter, referred to as "maximum volume fraction") which is when the work-hardening
coefficient E
h(f
M) is maximized.
[0106] In addition, for example, in the case where the yield stress σ
Y is approximated by a quadratic function of the volume fraction of the hardened area
f
M, the maximum volume fraction f
M-max is expressed by the following Expression (33). In particular, in the case of the
conditions as described above (that is, the case of the conditions shown in FIGS.
11 and 12), the maximum volume fraction f
M-max is 76.6%. In addition, even in this case, since the maximum volume fraction f
M-max needs to satisfy 0<f
M-max<1, the constants b and Δσ
h also need to satisfy 0<b<Δσ
h and 0<b<Δσ
Y.
[0107] [Formula 34]

[0108] However, the relationship between the volume fraction of the hardened area f
M described above and the initial peak stress or the work-hardening coefficient E
h is a relationship obtained for a steel sheet, and is not a relation obtained for,
for example, the structural material 10 having the shape as illustrated in FIG. 2.
Here, in the structural material 10 illustrated in FIG. 2, as described above, areas
that mainly receive the compressive load is the effective width areas 15, and the
effective width areas 15 can be assumed to be a steel sheet having a width of 2xe.
Therefore, the volume fraction of the hardened area f
M in such an effective width area, that is, the ratio of an area in the effective width
area on which a hardening treatment (for example, a laser heat treatment) is performed
can be set by the method as described above.
[0109] For example, the laser heat treatment is performed so that the volume fraction of
the hardened area f
M in each of the effective width areas 15 becomes higher than or equal to f
M-min expressed by Expression (32) and less than or equal to f
M-max expressed by Expression (33). In addition, in this case, σ
hM, σ
h0, σ
YM, and σ
Y0 regarding Δσ
h(=σ
hM-σ
h0) and Δσ
Y(=σ
YM-σ
Y0) in Expressions (32) and (33) respectively represent the proof stress of the heat-treated
area (hardened area) when a predetermined strain is given, the proof stress of the
untreated area (non-hardened area) when a predetermined strain is given, the yield
stress of the heat-treated (hardened area), and the yield stress of the untreated
area (non-hardened area). In addition, σ
hM, σ
h0, σ
YM, and σ
Y0 are parameters regarding the material (steel sheet) used in the structural material.
[0110] By setting the volume fraction of the hardened area f
M in each of the effective width areas 15 as described above, the initial peak stress
of the structural material 10 can be increased while causing the area on which the
laser heat treatment is performed to be small.
[0111] In the above description, the volume fraction of the hardened area f
M in each of the effective width areas 15 is controlled to be higher than or equal
to f
M-min and less than or equal to f
M-max. However, as described above, the volume fraction of the hardened area f
M may also be controlled to be higher than or equal to f
M-min and less than or equal to 1 (100%) or less than 1. In this case, it may be determined
that the volume fraction of the hardened area f
M in each of the effective width areas 15 is set so that the work-hardening coefficient
E
h of each of the effective width areas 15 becomes equal to or higher than the work-hardening
coefficient which is when the entire area of the effective width areas 15 is hardened
by the laser heat treatment. Otherwise, as described above, the volume fraction of
the hardened area f
M in each of the effective width areas 15 may also be controlled to be f
M-max.
In summary, as shown in FIG. 17, the minimum value of the volume fraction f
M is determined on the basis of the rate of change of the yield stress σ
Y with respect to the volume fraction f
M in the case where the volume fraction of the hardened area f
M is 0, the rate of change (constant) is called b (S311), and the maximum value of
the range of the volume fraction f
M is determined to be less than or equal to 1 or less than 1 (S312), thereby the range
of the volume fraction of the hardened area f
M may be determined. In addition, after determining the minimum value of the range
of the volume fraction f
M (S311), the maximum value of the range of the volume fraction f
M may also be determined on the basis of the rate of change of the yield stress σ
Y with respect to the volume fraction f
M in the case where the volume fraction of the hardened area f
M is 0, the rate of change (constant) is called b (S313).
[0112] Here, an example of a method of determining the constant b for determining the range
of the volume fraction of the hardened area f
M described above will be described. As a first method, a tensile test is performed
on three specimens of which the volume factions f
M of the hardened areas of steel sheets are 0, 1, and an arbitrary value that is higher
than 0 and less than 1 (for example, 0.5), the yield stresses σ
Y of the specimens are obtained, and the method of least squares is performed thereon,
thereby the constants a, b, and c can be determined. As a second method, a tensile
test is performed on two specimens of which the volume factions f
M of the hardened areas of steel sheets are 0, and an arbitrary value that is higher
than 0 and close enough to 0 (for example, 0.1), the yield stresses σ
Y of the specimens are obtained, and the constant b can be determined as the rate of
increase in the yield stress σ
Y with respect to the volume faction of the hardened area f
M. Here, the method of determining the constant b using the minimum number of pieces
of data needed (the number of pieces of data of the yield stresses σ
Y) as a simple method has been described. However, the upper limit of the number of
pieces of data is not particularly limited. As the number of pieces of data increases,
the range of the volume fraction f
M can be determined with higher precision.
[0113] Moreover, the yield stress σ
Y and the proof stress σ
h can be measured by performing a tensile test according to JIS Z2241 on JIS No. 5
specimens (specimens) sampled from a steel sheet (no heat treatment and bending process)
used as structural material. In particular, for measurement of the yield stress σ
YM and the proof stress σ
hM in the case where the volume fraction of the hardened area f
M is 1, specimens obtained by performing a predetermined heat treatment on the above
specimens may be used. As the predetermined heat treatment, for example, the specimens
may be heated to the A
e3 point (A
e3 temperature) or higher, and thereafter may be cooled to the M
s point (M
s temperature) or less at a cooling rate of higher than or equal to 10 °C/s, and preferably
higher than or equal to 30 °C/s by cooling means such as water cooling and/or air
cooling.
[0114] In addition, for measurement of the yield stress σ
YM and the proof stress σ
hM in the case where the volume fraction of the hardened area f
M is higher than 0 and less than or equal to 1, the tensile test described above may
be performed on the above specimens which is performed a laser heat treatment in the
longitudinal direction under the conditions corresponding to the abovementioned predetermined
heat treatment. In this case, by measuring the volume fraction of the hardened area
f
M after the tensile test, the correspondence relationship between the volume fraction
f
M, the yield stress σ
YM, and the proof stress σ
hM may be determined. For controlling the volume fraction of the hardened area f
M by the laser heat treatment, the laser heat treatment (1 pass) may be repeatedly
performed on one surface or both surfaces of the specimens in the longitudinal direction
of the specimens while displacing the positions of the specimens in the width direction
(a direction perpendicular to the longitudinal direction).
In addition, as the steel sheet used for the specimens, specimens on which a strain
history corresponding to the bend-processed portion (bent portion) of the structural
material before the heat treatment is applied may also be used.
[0115] In addition, the volume fraction of the hardened area f
M can be determined by a method as follows. For example, the area of the hardened area
in a cross-section perpendicular to the longitudinal direction of the specimen is
measured, and the volume of the hardened area is obtained by multiplying the area
by a length (total length) on which the laser heat treatment is performed, and the
volume of the hardened area is divided by the total volume of the specimen, thereby
the volume fraction of the hardened area f
M can be obtained. In addition, the area of the hardened area may be determined from
a quenched structure observed with an optical microscope from the cross-section perpendicular
to the longitudinal direction of the specimen, and may also be determined by obtaining
the Vickers hardness using a Vickers hardness tester as described later.
[0116] In addition, in the method of determining the range of the volume fraction of the
hardened area f
M described above, the relationship between the proof stress σ
h of the steel sheet and the volume fraction of the hardened area f
M is expressed by a linear function, and the relationship between the yield stress
σ
Y of the steel sheet and the volume fraction of the hardened area f
M is expressed by a quadratic function. However, such functions may not be necessarily
used.
In order to determine the range of the volume fraction of the hardened area f
M, the fact that the rate of change in the yield stress with respect to the volume
fraction of the hardened area f
M varies depending on the volume fraction of the hardened area f
M and the amount of change (a degree of change) is greater than the amount of change
(a degree of change) of the rate of change in flow stress with respect to the volume
fraction of the hardened area f
M may be used.
Therefore, for example, the relationship between the yield stress σ
Y of the steel sheet and the volume fraction of the hardened area f
M may be expressed by an arbitrary function σ
Y(f
M), and the range of the volume fraction of the hardened area f
M may be determined using the rate of change in the yield stress (in a case of a quadratic
function, corresponding to the constant b) with respect to at least one hardening
ratio. In a case where the quadratic function is extended to a general function, the
minimum volume fraction f
M-min (other than 1) and the maximum volume fraction f
M-max may be determined to satisfy the following Expressions (34) and (35). Here, σ
Y(f
M) can be expressed as a function including the constant b described above.
[0117] [Formula 35]

[0118] [Formula 36]

[0119] In addition, the relationship between the proof stress σ
h of the steel sheet and the volume fraction of the hardened area f
M may be expressed by an arbitrary function σ
h(f
M). Here, in a case where the linear function and the quadratic function described
above are extended to general functions, the maximum volume fraction f
M-max can be determined to satisfy the following Expression (36).
[0120] [Formula 37]

[0121] Moreover, other than in the above-described range (for example, of higher than or
equal to f
M-min and less than or equal to 1 (less than 1) or in the range of the following Expression
(41)), for example, using the maximum volume fraction (boundary hardening ratio) f
M-max, the range of the volume fraction of the hardened area f
M may be determined within the range of any of the following Expressions (37) to (40).
[0122] [Formula 38]

[0123] [Formula 39]

[0124] [Formula 40]

[0125] [Formula 41]

[0126] [Formula 42]

[0127] By determining the range of the volume fraction of the hardened area f
M as in the above Expressions (37) to (41), a stable heat treatment can be performed
with an excellent balance between a reduction of cost of the heat treatment and the
enhancement of the ability of the structural material to suppress deformation. In
addition, correction terms including cost, heat treatment conditions, and the like
may be appropriately included as the upper limit and lower limit in the range of the
volume fraction of the hardened area f
M.
[0128] Moreover, besides the above-described range, as shown in FIG. 16, the work-hardening
coefficient E
h (the relationship between the volume fraction f
M and the work-hardening coefficient E
h) is estimated or calculated on the basis of the range of change in the yield stress
σ
Y with respect to the volume fraction of the hardened area f
M (S301), and the range of the volume fraction f
M may be determined so that the estimated or calculated work-hardening coefficient
E
h becomes higher than or equal to a predetermined value (S302). For example, the difference
between the work-hardening coefficient E
h in the case where the volume fraction f
M is 1 and the work-hardening coefficient E
h in the case where the volume fraction f
M is f
M-max is defined as ΔE
h, an arbitrary value that is higher than or equal to 0 and less than or equal to 1
is defined as an improvement coefficient n, and a value obtained by adding n×Δ
h to the work-hardening coefficient E
h in the case where the volume fraction f
M is 1 may be determined as a predetermined value. Therefore, the predetermined value
may be the work-hardening coefficient E
h in the case where the volume fraction of the hardened area f
M is 1. In addition, instead of the work-hardening coefficient E
h expressed by the above Expression (21), a different index of work-hardening including
the yield stress σ
Y as at least a variable may also be used.
[0129] In addition, when the relationship between the proof stress σ
h of the steel sheet and the volume fraction of the hardened area f
M is expressed by a linear function and the relationship between the yield stress σ
Y of the steel sheet and the volume fraction of the hardened area f
M is expressed by a quadratic function, the range of the volume fraction of the hardened
area f
M can be determined most simply. In this case, the range of the volume fraction of
the hardened area f
M can be determined using the constant a instead of the constant b. However, as expressed
by the following Expression (42), the constant a can be expressed using the constant
b (the constant a is a dependent variable of the constant b), and thus it is assumed
that the use of the constant a is the same as the use of the constant b. Similarly,
even in the case where a variable (for example, the rate of change in the yield stress
σ
Y with respect to the volume fraction f
M in the case where the volume fraction f
M is 1) which is subordinate to the range of change in the yield stress σ
Y with respect to the volume fraction f
M is used, it is assumed that the rate of change in the yield stress σ
Y with respect to the volume fraction f
M is used. That is, as expressed by the following Expression (43) obtained by substituting
the first order differential equation of the above Expression (29) with the following
Expression (42), b which is the range of change in the yield stress σ
Y in the case where the volume fraction f
M is 0 can also be obtained using the rate of change in the yield stress σ
Y at an arbitrary volume fraction f
M. For example, as expressed by the following Expression (44), even in the case where
the rate of change in the yield stress σ
Y in the case where the volume fraction f
M is 1 is defined as d, b can be obtained using d from the following Expression (45).
[0130] [Formula 43]

[0131] [Formula 44]

[0132] [Formula 45]

[0133] Moreover, the range of the volume fraction f
M can be determined on the basis of the volume fraction f
M which is when the rate of change in the yield stress σ
Y with respect to the volume fraction of the hardened area f
M satisfies a predetermined condition. For example, upon considering that the work-hardening
coefficient E
h draws a convex downward curve with respect to the volume fraction of the hardened
area f
M, the volume fraction f
M which is when the first order differential of the work-hardening coefficient E
h expressed by the above Expression (21) with respect to volume fraction f
M becomes 0, that is, the volume fraction (boundary hardening ratio) f
M that satisfies the above Expression (36) may be determined as the maximum volume
fraction f
M-max. In this case, the range of the volume fraction of the hardened area f
M can be determined as, for example, a range that satisfies the above Expressions (37)
to (41). Here, regarding Expressions (37) to (41), the minimum volume fraction f
M-min (other than 1) can be determined using the above Expression (34). In addition, ΔE
h described above is determined from the minimum volume fraction f
M-min and the maximum volume fraction f
M-max determined by Expressions (34) and (36), and the range of the volume fraction f
M may be determined using the improvement coefficient n described above so that the
work-hardening coefficient E
h is higher than or equal to a value obtained by adding n×ΔE
h to the work-hardening coefficient E
h in the case where the volume fraction f
M is 1.
That is, as shown in FIG. 18, the maximum volume fraction f
M-max of the volume fraction f
M is determined on the basis of the rate of change in the yield stress σ
Y with respect to the volume fraction of the hardened area f
M (S321), the minimum value of the range of the volume fraction f
M is determined as a value smaller than the maximum volume fraction f
M-max by a predetermined value (S322), and the maximum value of the range of the volume
fraction f
M may be determined to be less than or equal to 1 or less than 1 (S323). In addition,
after determining the minimum value of the range of the volume fraction of the hardened
area f
M (S322), the maximum value of the range of the volume fraction f
M may be determined to be a value greater than the maximum volume fraction f
M-max by a predetermined value (S324).
[0134] In addition, regarding the relationship between the yield stress σ
Y of the steel sheet and the volume fraction of the hardened area f
M, the same function (for example, a linear function such as a quadratic function)
may be used in a range in which the volume fraction f
M is 0 to 1, however, this range may be divided into a plurality of ranges and the
different functions may also be used for each ranges. However, since the change in
the rate of change in the yield stress σ
Y with respect to the volume fraction f
M is used, in the case where the same function is used in the range in which the volume
fraction is 0 to 1, the function in this range needs to be able to differentiated
twice with respect to the volume fraction f
M. In addition, as a method of dividing the range of 0 to 1 into a plurality of ranges
and using different functions for each ranges, for example, an interpolation function
(including a case where the interpolation function is linear (a graph of broken line))
according to various interpolation methods (for example, spline interpolation) may
be used. In this case, actual measurement data (for example, 5 or more points) can
be directly used as data of a database.
Similarly, even regarding the relationship between the flow stress σ
h of the steel sheet and the volume fraction of the hardened area f
M, the same function (for example, a linear function such as a linear function) may
also be used in a range in which the volume fraction f
M is 0 to 1, however, this range may be divided into a plurality of ranges and different
functions may also be used for each ranges.
[0135] Here, as described above, in order to determine the range of the volume fraction
of the hardened area f
M using as low a number of measurements (the number of instances of manufacturing of
the specimens and the number of tests of tensile strength) as possible, it is preferable
that the relationship between the proof stress σ
h of the steel sheet and the volume fraction of the hardened area f
M be expressed by a linear function and the relationship between the yield stress σ
Y of the steel sheet and the volume fraction of the hardened area f
M be expressed by a quadratic function.
[0136] In addition, in the above embodiments, σ
h(f
M) is defined as the proof stress which is when 5% of plastic strain occurs. However,
the plastic strain corresponding to the proof stress may not be necessarily limited
to 5% and may not be 5% as long as it is greater than 0%. For example, as shown in
FIGS. 7, 9A, and 9B, σ
h(f
M) can also be defined as a proof stress which is when 1% of plastic strain occurs.
Therefore, when a proof stress which is when a predetermined plastic strain occurs
(or a stress needed to cause plastic deformation from a state where a predetermined
plastic strain occurs) is defined as a flow stress, σ
h(f
M) represents the flow stress, σ
hM represents the flow stress of the hardened area, σ
h0 represents the flow stress of the non-hardened area (untreated structural material).
Here, the flow stress may be a stress at a stain amount determined in a range which
is greater than a strain amount (that is, the plastic strain is greater than 0) corresponding
to the yield stress and smaller than a uniform elongation strain amount (for example,
the maximum amount of nominal strain). As general evaluation, it is preferable that
the flow stress be 5%.
[0137] In addition, in the above description, the structural material 10 is locally heated
and hardened by the laser heat treatment. However, local hardening of the structural
material 10 may not necessarily be performed by the laser heat treatment and may also
be performed by another heat treatment. In any case, it is preferable that the hardness
of the area hardened by the heat treatment be higher than or equal to the reference
hardness (Vickers hardness) Hv calculated by the following Expressions (45) and (46)
when the carbon content of the structural material 10 which is a steel material is
defined as C, the silicon content is defined as Si, the manganese content is defined
as Mn, the nickel content is defined as Ni, the chromium content is defined as Cr,
the molybdenum content is defined as Mo, the niobium content is defined as Nb, the
vanadium content is defined as V.
[0138] [Formula 46]

[0139] [Formula 47]

[0140] Moreover, in the embodiment shown in FIGS. 2 and 3, the laser heat treatment is performed
on the effective width areas 15 in the peripheries of the two bent portions 12b and
12c and the laser heat treatment is not performed on the effective width areas 15
in the peripheries of the two different bent portions 12a and 12d. However, the laser
heat treatment may also be performed on the effective width areas in the peripheries
of the two different bent portions, or the laser treatment may be performed only on
the effective width area 15 in the periphery of one bent portion of the two bent portions
12b and 12c. In other words, in the present invention, in the case where a structural
material has a plurality of bent portions, the heat treatment may be performed on
the effective width area including at least one bent portion at a volume fraction
f
M as described above.
[0141] In addition, a heat-treated structural material according to an embodiment of the
present invention will be described.
The heat-treated structural material according to this embodiment includes, as in
the above embodiment, at least one bent portion which extends in one direction of
the structural material and has a bend in a direction perpendicular to the one direction.
Therefore, the heat-treated structural material according to this embodiment includes,
for example, structural materials having shapes as illustrated in FIGS. 2 to 5. Moreover,
the volume fraction f
M of the above-described hardened area with respect to the above-described effective
width areas is less than 1 and is included in the range of the volume fraction f
M determined on the basis of the rate of change in the yield stress σ
Y with respect to the volume fraction f
M.
Thereafter, the heat-treated structural material according to this embodiment may
exhibit a higher ability to suppress deformation than that according to the conventional
technique while maintaining costs as low as possible.
Moreover, the range of the volume fraction of the hardened area f
M can be determined on the basis of the rate of change in the yield stress σ
Y with respect to the volume fraction f
M in the case where the value of the volume fraction f
M is 0 as described above. The range of the volume fraction f
M is a range determined so that the work-hardening coefficient E
h calculated on the basis of the rate of change in the yield stress σ
Y with respect to the volume fraction f
M is higher than or equal to a predetermined value. In particular, the predetermined
value is preferably the value of the work-hardening coefficient E
h in the case where the volume fraction f
M is 1, and more preferably a value greater than the work-hardening coefficient E
h in the case where the volume fraction f
M is 1. In addition, it is preferable that the range (lower limit) of the volume fraction
of the hardened area f
M be higher than or equal to the minimum volume fraction f
M-min expressed by the above Expression (32). Similarly, it is preferable that the range
(upper limit) of the volume fraction of the hardened area f
M be lower than or equal to the maximum volume fraction f
M-max expressed by the above Expression (33). In addition, three JIS No. 5 specimens are
sampled from the flat portion of the structural material, the heat treatment is performed
on the two specimens so that the volume fractions f
M of the hardened areas of the specimens are 0, 1, and 0.5, a tensile test is thereafter
performed on the three specimens to obtain needed mechanical strengths, and the method
of least squares is performed on the relationship between the yield stress σ
Y and the volume fraction f
M, thereby determining the constant b of Expression (30).
[0142] In addition, the flow stress may be defined as a proof stress which is when 5% of
plastic strain occurs. Moreover, in order to determine the effective width area, the
effective width e may be defined by the above Expressions (15), (17), and (18B) or
the following Expression (47). In addition, in the case where the effective width
e is defined by Expression (15), the finite element method may be used. In addition,
Expression (47) is derived from the above Expressions (18A) to (20) assuming that
the flat sheet buckling coefficient is 4.
[0143] [Formula 48]

[0144] In addition, the hardened area (the area hardened by the heat treatment) may be obtained
by the same method as that of the embodiment. That is, the hardened area can be determined
to be an area that has a hardness of higher than or equal to the Vickers hardness
calculated by above Expressions (45) and (46). In addition, it is preferable that
the heat treatment be performed using a laser. The history of the heat treatment using
the laser may be checked by observing the structure of the cross-section of the structural
material.
[Examples]
[0145] From a single 440 MPa-grade steel sheet BP having a thickness of 1.0 mm, a yield
stress of 301 MPa, a tensile strength of 457 MPa, an elongation of 39%, a carbon content
of 0.09%, a silicon content of 0.02%, a manganese content of 1.24%, 11 JIS No. 5 specimens
were sampled. A laser heat treatment was performed in a plurality of passes on the
10 specimens among the specimens in the longitudinal direction (tension direction)
of the specimens to achieve predetermined volume fractions, thereby manufacturing
specimens in which the volume fractions of the hardened areas with respect to effective
width areas were 0.1 to 1 (increment of 0.1). As the laser heat treatment, a carbon
dioxide laser was used, a laser output was controlled to 5 kW, and a heat treatment
speed was controlled to 12 m/min. Moreover, a tensile test was performed on the 11
specimens to evaluate yield stresses and tensile stresses.
[0146] As a result, from the untreated specimen, the yield stress of the non-hardened area
σ
Y0 was determined as 301 MPa, and the proof stress σ
h0 of the non-hardened area when a plastic strain ε
p of 0.05 (0.0537) was given was determined as 447 MPa. Similarly, from the specimen
having a volume fraction of 1 (100%), the yield stress of the hardened area σ
YM was determined as 794 MPa, and the proof stress σ
hM of the hardened area when a plastic strain ε
p of 0.05 (0.0537) was given was determined as 1017 MPa. Moreover, the yield stresses
obtained from the 11 specimens were plotted with respect to the volume fractions,
and the method of least squares using the above Expression (29) as a regression equation
was applied to the plot, thereby determining the constant b as 350 MPa. Here, it was
confirmed that even when the method of least squares was performed on the three plots
of the yield stress of the untreated specimen, the specimen having a volume fraction
of 0.5 (50%), and the specimen having a volume fraction of 1 (100%), the same constant
b was obtained.
As a result of substituting the value of b (b=350 MPa), the values of Δσ
h and Δσ
Y (Δσ
h=569.2 MPa, Δσ
Y=493.0 MPa) obtained by the tensile test in Expression (32), f
M-min=53.3% was obtained.
In addition, as a result of substituting the value of b and the values of Δσ
h and Δσ
Y in Expression (33), f
M-max (f
M-max=76.6%) was obtained.
[0147] In addition, as a result of calculating the effective width e using the above Expressions
(18A) to (20) (or the above Expression (47)), 19.2 mm was obtained as the effective
width e. Here, the flat sheet buckling coefficient k which is a coefficient in response
to the sheet shape or the like was 4, the sheet width w was 60 mm, the sheet thickness
t was 1.0 mm, the yield stress σ
Y0 was 301 MPa, and the elastic modulus E was 180 GPa. In addition, regarding the sheet
width w, the average value (60 mm) of the height (50 mm) illustrated in FIG. 14 and
the width (70 mm) of the top portion was used as a representative value.
[0148] In addition, the steel sheet BP (FIG. 13A) was subjected to a bending process, thereby
manufacturing an untreated structural material 10 having a shape as illustrated in
FIG. 13B. The untreated structural material 10 includes five flat portions which are
arranged so that the cross-section thereof has a hat shape as illustrated in FIG.
14. The lengths of sides in the vertical cross-section of the sides including the
three flat portions 11 at the center were 50 mm, 70 mm, and 50 mm, respectively.
[0149] The untreated structural material 10 manufactured as such was spot-welded to a different
structural material 20 having a flat sheet shape, thereby manufacturing a structural
material assembly as illustrated in FIG. 13. Spot welding S was performed on the center
in the width direction of the flat portions constituting flange portions at an interval
of 30 mm in the longitudinal direction. In addition, the distance from the end portion
in the longitudinal direction (the end portion on a side on which an impact is inserted,
hereinafter, referred to as "impact exertion side end portion") to the initial spot
weld was 15 mm.
[0150] On the structural material assembly manufactured as such, the laser heat treatment
was performed in a plurality of passes in the longitudinal direction (tensile direction)
of the specimens using the carbon dioxide laser. The laser output was controlled to
5 kW, and the heat treatment speed was controlled to 12 m/min. The laser output and
the heat treatment speed in the laser heat treatment were controlled in the same manner
in the following examples. In a test No. 1, the laser heat treatment was performed
over the entirety of an area of 19.2 mm from the bent portion shaded in black in FIG.
14, that is, over the entirety of the effective width area. Therefore, in this case,
the volume fraction of the hardened area with respect to the effective width area
was 100%. Here, the work-hardening coefficient E
h calculated by the above Expression (31) using the above-described data was 4155.8
MPa (here,ε
p=0.05).
[0151] Measurement of Vickers hardness was performed on the spots on which the laser heat
treatment was performed. While the Vickers hardness of the untreated structural material
was 140, the Vickers hardness after the laser heat treatment was 306. It was confirmed
that the hardened area was sufficiently quench-hardened.
[0152] The structural material assembly was installed so that the longitudinal direction
of the structural material assembly on which the laser heat treatment was performed
as such was aligned with the vertical direction and the impact exertion side end portion
thereof has an upward trend, and an impact test was performed by falling a falling
weight of 300 kg positioned immediately thereon from a height of 2 m.
[0153] When the impact test was performed, a load meter (load cell) was installed immediately
under the structural material assembly, and the load history after the falling weight
came in contact with the structural material assembly was measured. At the same time,
the displacement history of the falling weight after the falling weight came in contact
with the structural material assembly (the time history of the falling amount of the
falling weight after the falling weight came in contact with the structural material
assembly) was also measured by a laser displacement meter. A load-strain curve was
created on the basis of the load history and the displacement history measured as
such. An initial peak reaction force was calculated from the load-strain curve, and
an initial peak stress was calculated from the initial peak reaction force divided
by the cross-sectional area of the structural material assembly (340 mm
2). The initial peak reaction force at this time was 146.9 kN, and the initial peak
stress was 432.0 MPa.
[0154] In a test No. 2, an untreated structural material assembly was manufactured as in
the test No. 1, and the laser heat treatment was performed on the structural material
assembly. The laser heat treatment was performed so that the volume fraction of the
hardened area with respect to the effective width area becomes 76.6%. Here, the work-hardening
coefficient E
h calculated by the above Expression (31) using the above-described data was 4301.6
MPa (here, ε
p=0.05).
[0155] As in the test No. 1, an impact test was performed on the structural material assembly
on which the laser heat treatment was performed as such, and an initial peak reaction
force and an initial peak stress were calculated on the basis of the test results.
The initial peak reaction force at this time was 150.6 kN, and the initial peak stress
was 443.0 MPa.
[0156] In a test No. 3, an untreated structural material assembly was manufactured as in
the test No. 1, and the laser heat treatment was performed on the structural material
assembly. The laser heat treatment was performed so that the volume fraction of the
hardened area with respect to the effective width area becomes 53.3%. Here, the work-hardening
coefficient E
h calculated by the above Expression (31) using the above-described data was 4155.8
MPa (here, ε
p=0.05).
[0157] As in the test No. 1, an impact test was performed on the structural material assembly
on which the laser heat treatment was performed as such, and an initial peak reaction
force and an initial peak stress were calculated on the basis of the test results.
The initial peak reaction force at this time was 146.3 kN, and the initial peak stress
was 430.1 MPa.
[0158] The results are collected in the following Table 1.
[0159]
[Table 1]
Test No. |
fM (%) |
Eh (MPa) |
Initial peak reaction force (kN) |
Initial peak stress (MPa) |
1 |
100 |
4155.8 |
146.9 |
432.0 |
2 |
76.6 |
4301.6 |
150.6 |
443.0 |
3 |
53.3 |
4155.8 |
146.3 |
430.1 |
[0160] From Table 1, it can be seen that the initial peak stress which is when the volume
fraction (f
M) of the hardened area with respect to the effective width area is 53.3% (=f
M-min) is substantially equal to the initial peak stress which is when the volume fraction
is 100%. In addition, it can be seen that the initial peak stress which is when the
volume fraction of the hardened area with respect to the effective width area is 76.6%
(=f
M-max) is substantially equal to the initial peak stresses which is when the volume fractions
are 53.3% and 100%. As such, in the test No. 3, substantially the same ability to
suppress deformation to that of the test No. 1 can be obtained at lower cost than
that of the test No. 1. In addition, in the test No. 2, a higher ability to suppress
deformation than that of the test No. 1 can be obtained at lower cost than that of
the test No. 1.
Industrial Applicability
[0161] By performing a heat treatment on appropriate spots of an untreated structural material
to locally harden the structural material, the structural material having a sufficiently
high ability to suppress deformation can be provided.
[0162]
Reference Signs List
10 |
structural material |
11 |
flat portion |
12 |
bent portion |
15 |
effective width area |
20 |
structural material |