[0001] The present invention relates to sectional elements. In particular, it is concerned
with the residual stress state of sectional elements, and the means by which a beneficial
residual stress state may be achieved. The sectional elements to which the present
invention finds particular (but not exclusive) application are rails and I-beams.
[0002] These types of sectional elements consist of a central portion, at either end of
which is an element of greater lateral dimension. In an I-beam or H-beam these are
the upper and lower flanges. In a rail section they are asymmetric and referred to
as the foot and the head. In this Application, the terms web, head and foot will be
used but it should be understood that these refer to the corresponding sections of
an I-beam or any other sectional element to which the invention is applicable.
[0003] Such sections have a longitudinal axis, i.e. the axis running parallel to the length
of the element, and a transverse axis, i.e. a direction running perpendicular to the
longitudinal direction in the direction from the head to the foot or vice-versa. The
remaining direction, the through-thickness axis, is rarely the subject of a residual
stress, at least in the web, as the material is relatively thin.
[0004] Such sections normally need to be straightened after production. Straightening commonly
involves the application of compression to the section as a whole in its transverse
direction. The result of this is a residual stress state in the final product generally
as indicated in Figure 1. Thus, the head 10 and the foot 12 of the section (in this
case a rail element) are in longitudinal tension whilst the web 14 is in longitudinal
compression. At the free end 16 of the rail, the web 14 is in transverse tension.
[0005] This stress state is highly undesirable, as indicated in Figure 2. The combination
of the tensile stresses at the head, foot, and free end of the web tend to open up
any longitudinal cracks 18 present in the web. If the residual stresses are sufficient
then such cracks, once opened, can propagate along the length of the section.
[0006] A common test for rail sections is to cut a "crack" of predetermined length into
the web in a longitudinal direction. The degree of opening 20 of the crack is then
measured to indicate the degree of residual stress. This measurement is referred to
as the "Web Saw Opening" or WSO.
[0007] In use, both rails and other beams experience compressive transverse stresses in
the web and tensile longitudinal stresses in the head and foot. In rail sections,
these stresses arise as a locomotive travels over that section of rail. In an I-beam,
they occur as the beam is subjected to a bending moment around its through-thickness
axis. These will clearly add to the existing residual stresses. The longitudinal tension
in the head and foot will then contribute to fatigue damage and crack opening of the
top and (particularly) bottom surface.
[0008] Existing methods of dealing with residual stress problems generally comprise annealing
or soaking steps which aim to remove residual stresses entirely, or surface treatments
such as shot-peening or surface rolling. The former tends to result in departures
from straightness of the section and do not produce an inherently desirable residual
stress, whilst the latter produce somewhat severe stress gradients within the material
and undesirable residual stresses below the surface.
[0009] In its first aspect, the present invention therefore proposes a method of introducing
a desired longitudinal residual stress in to a section of the type defined which comprises
the application of a force in the transverse or through-thickness direction to a selected
sub-element of the section sufficient to produce a strain in that direction and thereby
produce a plastic Poisson strain in the longitudinal direction in the selected sub-element,
and the removal of the force thereby to leave a residual stress.
[0010] If there is a pre-existing residual stress, then the method will clearly introduce
a further residual stress, and the final residual stress will be the algebraic sum
of the original and the introduced stresses.
[0011] In another aspect, the present invention proposes a method of processing a section
of the type defined that comprises the application of a force in the transverse or
through-thickness direction thereby to produce a strain in that direction that results
in a Poisson strain in the longitudinal direction of the opposite sign to a required
change in longitudinal residual stress.
[0012] In a third aspect, the present invention proposes a method of processing a section
of the type defined that comprises the application of a quasi-static force in the
transverse or through-thickness direction to a selected sub-element of the section
thereby to produce a strain in that direction in that sub-element giving rise to a
simultaneous Poisson strain in the longitudinal direction having an opposite nature
to that of a desired longitudinal residual stress in that selected sub-element of
the section.
[0013] The longitudinal Poisson strain is in general approximately equal to the transverse
strain multiplied by minus Poisson's ratio.
[0014] It is preferred if the selected sub-element is the web.
[0015] Once the applied force is released, residual stress is produced which will usually
be opposite to an original undesirable residual stress or additive to a pre-existing
desired residual stress. The final state will therefore be either desirable or at
least less undesirable. Assuming that the sign of the original longitudinal residual
stress in a sub-element was undesirable, application of transverse or through-thickness
plastic strain of the opposite sign will produce a final residual stress that is therefore
either desirable or less undesirable. Assuming that the magnitude of the original
longitudinal residual stress in a sub-element was undesirably low, application of
plastic transverse or through-thickness strain of the same sign will produce a final
residual stress of that sign that is more desirable.
[0016] One way of achieving this is to place the web in transverse tension. This can suitably
be achieved by exerting an upward force to the lower faces of the head and a downward
force to the upper faces of the foot. This is effectively an opening force in the
gap between the head and foot. This imparts a transverse tensile stress in the web,
which provokes a longitudinal compressive stress. A high enough longitudinal compressive
stress, when released, leaves a longitudinal tensile residual stress.
[0017] A preferred method of achieving this is by the insertion of a wedging element in
the region adjacent the web between the head and foot elements thereby to impart to
the head and foot a transverse expansion force. Preferably, this is carried out on
both sides of the element. The wedging elements can be rollers or elongate static
members arranged to form a vise. It is preferred that the wedging elements do not
contact the web.
[0018] An alternative or additional means of achieving this is to place the foot and/or
head into a through-thickness compression. This will provoke a longitudinal tensile
strain, if sufficient, which when allowed to relax will leave the desired longitudinal
compressive stress.
[0019] As the forces in a rigid body must always balance, the longitudinal tensile stress
in the web provokes longitudinal compressive stresses in the head and foot. These
counteract the original residual stresses and are of themselves a desirable stress
state in that end cracks in the web and surface cracks in the head and foot are all
subject to a closing tendency.
[0020] An alternative or additional method is to place selectively the head and foot into
transverse compression. This will provoke a longitudinal Poisson tension which, when
released, leaves a residual compressive stress. This, through the balancing of forces,
provokes a tensile longitudinal residual stress in the web. Thus, this example of
mechanical deformation produces the same end result. However, the greater lateral
thickness of the head and the foot as compared to the web implies that significantly
greater forces will be called for.
[0021] Embodiments of the present invention will now be described by way of example, with
reference to the accompanying Figures in which:
Figure 1 is a side view of the end of a rail illustrating the usual residual stresses
observed after straightening;
Figure 2 shows the rail of Figure 1 incorporating a longitudinal crack within the
web;
Figure 3 shows a vertical cross-section through an embodiment of the invention;
Figure 4 shows a top view of the embodiment of Figure 3;
Figure 5 shows a vertical cross-section through a second embodiment of the present
invention;
Figure 6 shows a vertical cross-section through a third embodiment of the present
invention;
Figure 7 shows a vertical cross-section through a fourth embodiment of the present
invention;
Figure 8 shows a vertical cross-section through a fifth embodiment of the present
invention;
Figure 9 shows the relationship between applied force and derived stress achievable
through the present invention;
Figure 10 shows the stress states achievable by the present invention;
Figure 11 shows comparative results of Web Saw Opening tests achievable via the present
invention; and
Figure 12 shows comparative values of measured residual stress in the head, web and
foot of rails treated according to the invention and -according to known methods.
[0022] Figures 1 and 2 have been referred to already, and no further description will be
given here.
[0023] Figure 3 shows an embodiment of the present invention applied to a rail. A pair of
rollers 50 are provided, which are generally disc-shaped and are rotatable about axis
52. The axial faces 54 of the rollers 50 are inclined at an angle of one in four such
that the thickness of the roller 50 decreases with increasing distance from the axis
52.
[0024] As illustrated in Figures 3 and 4, the rollers 50 are applied either side of a rail
60, in this case of the dimensions set down in A.R.E.A. Standard 136RE. The rail 60
is then drawn in the direction of arrow 56 (fig. 4), and the rollers 50 are allowed
to rotate about their axis 52. The rollers may be free to rotate or they may be driven.
[0025] For use with this specific rail dimensions, a suitable dimension for the roller involves
a minimum width between the outside faces of 122mm, and a depth of at least 75mm.
The result of these dimensions is that as the rail passes into the gap between the
rollers, the head 62 and foot 64 are forced apart, placing the web 66 in transverse
tension.
[0026] It will of course be a straightforward matter to adapt the dimensions for use with
other standard and non-standard rail sizes.
[0027] Figure 5 shows schematically an alternative means for imposing a suitable mechanical
deformation on the rail 60. A pair of sealing glands 100, 102 are placed either side
of the rail 60 such as to contact the head 62 and foot 64 in a sealing manner. A high
pressure hydraulic liquid such as oil is then injected into the longitudinal gaps
106 and 108. This exerts a transverse expansion force on the lower faces of the head
62 and upper faces of the foot 64, producing a desirable residual stress state as
detailed above.
[0028] A further alternative embodiment is illustrated in Figure 6. In this case, the rail
60 is subjected to a stress state similar to that of Figures 3 and 4. Upper and lower
braces 120 and 122 are provided, each of which is generally U-shaped and is adapted
to envelop either the head 62 or foot 64 of the rail. Each carries an axle 124 disposed
in a through-thickness direction, and carrying at its free end a roller 126 which
contacts a surface of the head 62 or foot 64. The four rollers 126 in total contact
the rail 60 on the same faces contacted by the roller 50 of Figures 3 and 4. The braces
120, 122 are then pulled in the transverse direction, exerting a stress state on the
rail 60 identical to that of Figures 3 and 4.
[0029] Figure 7 shows how the arrangement of Figures 3 and 4 can be applied to an I-beam
rather than a rail. Rollers 150 correspond generally to the rollers 50 of Figure 3,
but differ in their exact dimensions so as to cater for dimensions of the I-beam 160.
The I-beam consists of a central web 166, from either end of which extend a head 162
and a foot 164. Four formers 168 are placed in each of the four internal corners of
the I-beam, i.e. at the junctions of the web 166 and the head 162 and the foot 164.
These formers 168 are generally in the form of a substantially right-angled prism
which therefore fits neatly into the corner. They each present an oblique face 170
to the oblique surface 154 of the roller, and therefore allow a smooth wedging action
without distorting the I-beam.
[0030] The formers 168 could of course be dispensed with and the rollers 150 shaped appropriately.
However, it is believed that this arrangement provides superior results.
[0031] Figure 8 shows an alternative construction, applied to a rail 60, in which a pair
of static formers 200 are provided alongside the web 66 and between the head 62 and
foot 64. Each former 200 consists of a central axis bar 202, and a pair of wedges
204. The wedges 204 are initially at an oblique angle to each other, thereby allowing
the former 200 to fit in the space otherwise occupied by the rollers 50. Each wedge
204 can rotate outwardly about the axis bar 202, thereby exerting an opening force
to the rail as required. This rotation of the wedges 204 is achieved by compressing
the combination of rail 60 and formers 200 on either side thereof, for example between
a pair of rollers. Thus, the wedges 204 rotate outwardly and exert the necessary force.
[0032] Figures 9 to 11 show the results of an experimental embodiment of the invention.
In this experimental embodiment, planar wedges of the dimensions discussed in relation
to the rollers 50 of Figure 3 were forced into the gap between the head and foot of
a 136RE rail. The web thickness of the rail is 17.5mm and the web yield stress was
determined as 450MPa. This rail was known to have high residual stresses, with a WSO
value of about 6mm.
[0033] The formers were 80mm thick and were laterally compressed into the gap between the
head and the base so that a wedging action was produced. As mentioned above, the slope
of the bottom of the head and top of the base is 1:4 so that (neglecting friction)
a given lateral compression force should produce a transverse tensile force four times
higher. The forces were applied in line with a set of strain gauges used to measure
the longitudinal (horizontal) and transverse (vertical) stresses. The results of the
stresses are shown in Figure 9, in the vertical and horizontal directions. The elastic
slope is also indicated, with a noted departure from elasticity in the horizontal
direction at a vertical stress of less than 450MPa. It can be seen that as the force
is increased (x axis) the apparent stress in the vertical direction increases markedly,
resulting in a Poisson stress in the horizontal direction. A maximum applied force
of 1030kN resulted in the mean apparent vertical stress of 1443MPa. The Maximum apparent
horizontal stress was -642MPa.
[0034] This maximum 1030kN force was then applied at a range of positions, starting 150mm
away from a set of strain gauges. Measurements of the strain were taken whilst under
load and after the load was removed, as shown in Figure 10. The vertical (transverse)
stress of the first such loading, at position -150mm, was zero both during and after
loading. The force was then applied at 50mm increments nearer to the gauge; at -100mm
this resulted in a slight increase in vertical stress. This continued to increase
to a maximum at position 0mm, then declining to a minimum at + 250mm. It can be seen
that by the time the force had been applied consistently along the length of the rail,
there was a compressive longitudinal stress of about - 100MPa in the rail which had
not been present initially. At this position, therefore, the stress appears to be
more compressive which is the opposite to that desired. However, the apparent stress
registered by the gauge is due to plastic strain. The residual stress is actually
related to the difference between the on load and the off load apparent stress at
position 0 mm which is positive and therefore in tension. If this longitudinal tension
had not been present the apparent stress would have been more in compression than
it is and close to the difference of about -400MPa between the elastic slope and the
horizontal stress at a force of 1030 kN in Figure 9. The change in residual stress
is therefore an increase in tension of about 300 MPa which is a desirable result.
[0035] Figure 11 is a line drawing depiction of a 136RE rail which was left untreated in
a first region X but subjected to the above experimental treatment over region Y.
It can be seen visually that the Web Saw Opening value had decreased significantly,
in fact from above 4mm to less than 1 mm.
[0036] Figure 12 shows comparative results for rails treated according to a variety of methods.
The longitudinal residual stress is shown for the head, web and foot of each rail.
The treatment methods were as follows:
- ■
- Rail treated according to the invention, above
- ●
- Rail subjected to 420°C in the web region
- ×
- A.R.E.A standard 113 RE rail subjected to a mill heat treatment and roller straightened
- +
- UIC 60 rail subjected to a mill heat treatment and roller straightened
- ∗
- A.R.E.A standard 136 RE rail, low alloy head hardened and roller straightened
- Δ
- Unstraightened rail subjected to an off-line heat treatment
- ▲
- Unstraightened rail subjected to an on-line heat treatment.
[0037] It can be seen that the rail treated according to the invention is left in a state
of residual compression in the base, an area particularly prone to fatigue damage.
No other process achieved this.
[0038] An alternative process would be to place the foot and/or head into compression in
the through-thickness direction. This could be done relatively straightforwardly,
for example by passing the rail through appropriate rollers contacting the lateral
faces of the head and/or foot. This would induce a longitudinal tensile poisson strain
which, when released, would give rise to a longitudinal compressive residual stress.
1. A method of introducing a desired longitudinal residual stress in to a section of
the type defined which comprises the application of a force in the transverse or through-thickness
direction to a selected sub-element of the section sufficient to produce a strain
in that direction and thereby produce a plastic Poisson strain in the longitudinal
direction in the selected sub-element, and the removal of the force thereby to leave
a residual stress.
2. A method of processing a section of the type defined that comprises the application
of a force in the transverse or through-thickness direction thereby to produce a strain
in that direction that results in a Poisson strain in the longitudinal direction of
the opposite sign to a required change in longitudinal residual stress.
3. A method of processing a section of the type defined that comprises the application
of a quasi-static force in the transverse or through-thickness direction to a selected
sub-element of the section thereby to produce a strain in that direction in that sub-element
giving rise to a simultaneous Poisson strain in the longitudinal direction having
an opposite nature to that of a desired longitudinal residual stress in that selected
sub-element of the section.
4. A method according to any preceding claim in which the selected sub-element is the
web.
5. A method according to any preceding claim in which the web is placed in transverse
tension.
6. A method according to claim 5 in which an upward force is exerted to the lower faces
of the head and a downward force to the upper faces of the foot.
7. A method according to claim 6 in which a wedging element is inserted in the region
adjacent the web between the head and foot elements thereby to impart to the head
and foot a transverse expansion force.
8. A method according to claim 7 in which a wedging element is inserted on both sides
of the element.
9. A method according to claim 7 or claim 8 in which the wedging elements are rollers.
10. A method according to claim 7 or claim 8 in which the wedging elements are elongate
static members arranged to form a vice.
11. A method according to any one of claims 7 to 10 in which the wedging elements do not
contact the web.
12. A method according to any preceding claim in which the foot and/or the head are placed
into a through-thickness compression.
13. A method according to any preceding claim in which the head and foot are placed selectively
into transverse compression.