BACKGROUND OF THE INVENTION
Technical Field
[0001] The present invention concerns a method of predicting damages of dies. More specifically,
the invention concerns predicting damages in dies for plastic processing of metals,
typically, forging dies by predicting "great crack" damage caused by brittle fracture
which dominates die lives, and utilizing the results for die design including choice
of materials, hardness thereof and determining the die configuration so as to establish
countermeasures for prolongation of die lives.
Prior Art
[0002] At manufacturing and application of forging dies various methods of predicting damages
in dies have been developed and utilized for enabling manufacture of dies of longer
lives. As the method of prediction it is generally employed to calculate temperature
and stress distribution in a die by finite element analysis and then substitute the
calculated values for constitutive equations to predict low cycle fatigue lives and
abrasion. For example,
Japanese Patent Disclosure No. 2002-321032 discloses technique of predicting die lives on the basis of die abrasion according
to an abrasion model adopting conditions inherent in forging dies.
[0003] Fracture factors causing damage of forging dies during using are four, namely, "great
crack" or static brittle fracture, plastic flow, abrasion and low cycle fatigue destruction.
The brittle fracture is a sudden phenomenon occurring at an initial stage before substantial
use of the die, and also called "initial crack", which is a fatal damage. However,
methods of predicting damage of dies proposed so far are not effective for this kind
of brittle fracture. As to ductile fracture there has been proposed Cockroft's formula,
Oyane's formula and Ayada's formula, which have been acknowledged. These formulae
are, however, not applicable to the brittle fracture. Thus, there has been demand
for formula or formulae which enable effective prediction of damage of dies caused
by brittle fracture.
SUMMARY OF THE INVENTION
[0004] The object of the present invention is to provide a method of predicting damage of
dies enabling design of improved dies by predicting brittle fracture which give, among
various factors causing damage to forging die, fatal influence to die lives.
[0005] The method according to the invention achieving the above-mentioned object is a method
of predicting "great crack" by brittle fracture which dominates the lives of dies
for plastic processing of metals to contribute to die design including choice of materials,
hardness and configuration of the die. The method of predicting damages of dies according
to the invention is characterized in that the die design is carried out by choosing
the condition that none of the predicted values of brittle fracture, F
c1 to F
c3, calculated by the formulae 1 to 3 below exceed the critical values determined on
the basis of the material used.
σm: mean normal stress loaded to the tensile side of the
die
σeq: Von Misese's equivalent stress
σ1max: maximum principal stress
BRIEF EXPLANATIO OF THE DRAWINGS
[0006]
Fig. 1 is a plan view illustrating the shape and dimension of a smooth test piece
of the tensile test pieces prepared for constructing database of the material properties
prior to conducting the present invention;
Fig. 2 is a plan view like Fig. 1 illustrating the shape and dimension of the test
piece having a surrounding V-notch with notch angle of 30°;
Fig. 3 is a plan view like a part of Fig. 2 illustrating the detail of the notched
part of the test piece with notch angle of 90°;
Fig. 4 is a plan view like a part of Fig. 3 illustrating the detail of the notched
part of the test piece with notch angle of 120°;
Fig. 5 is a graph obtained by plotting mean normal stress (σm) corresponding to equivalent stress (σeq) based on the data given by tensile tests in working example of the present invention;
Fig. 6 is a graph obtained by plotting mean normal stress (σm) corresponding to maximum principal stress (σ1max) based on the data given by tensile tests in working example of the present invention;
Fig. 7 is a graph obtained by plotting maximum principal stress (σ1max) corresponding to equivalent stress (σeq) based on the data given by tensile tests in working example of the present invention;
Fig. 8 is a section view illustrating the shape of a ring-die and a work used at hot
forging a final gear (an automobile part);
Fig. 8 is data of a working example and a computer graphics (hereinafter referred
to as "CG") obtained by FEM analysis showing distribution of the critical values Fc1 of brittle fracture in a ring-die before improvement by the invention;
Fig 10 is a CG like Fig. 9 showing distribution of the critical values Fc2 of brittle fracture in a ring-die before improvement by the invention;
Fig 11 is a CG like Fig. 9 showing distribution of the critical values Fc3 of brittle fracture in a ring-die before improvement by the invention;
Fig 12 is a CG like Fig. 9 showing distribution of the critical values Fc1 of brittle fracture in a ring-die after improvement by the invention;
Fig 13 is a CG like Fig. 9 showing distribution of the critical values Fc2 of brittle fracture in a ring-die before improvement by the invention;
Fig 14 is a CG like Fig. 9 showing distribution of the critical values Fc3 of brittle fracture in a ring-die before improvement by the invention;
DETAILED EXPLANATION OF THE PREFERRED EMBODIMENTS
[0007] The factors dominating the brittle fracture of dies are three, as noted above, i.e.,
mean normal stress (σ
m), equivalent stress (σ
eq) and maximum principal stress (σ
1max). It can be hence said that there is generally the following relation:

[0008] All the dominating factors are considered in the above formulae 1 to 3. In practical
use of these formulae an improved formula or formulae (such as those with adjusted
coefficients) may be found by experience. They will give the same effect as those
discussed above, and thus the invention includes the embodiments using such formulae.
[0009] By predicting the damages of dies it will be possible to establish effective countermeasures
to the brittle fracture (so-called "great crack" or "initial crack"), to which, though
it is an important factor, no conventional method of predicting damages has not been
confronted. Those skilled in the art will be able to manufacture the optimum die by
constructing databases in regard to the respective steels with reference to the working
examples described below, by choosing the condition where all the predicted brittle
fracture values F
c1 to F
c3 do not reach the critical limits, and by designing the dies. If the dies enjoy prolonged
lives it will contribute to decrease in processing costs of various forged products
through not only reducing the die cost itself but also saving time and labor for exchanging
the worn dies.
[0010] The method of predicting damages of dies according to the invention may exhibit the
performance to the dies for forming. It will be, however, applicable to other dies
such as those for die-casting, which are used under similar environment of high temperature
and high stress. Through the prediction of damages of dies desired properties of die
materials may be known as a matter of course and the indices for developing the die
materials can be obtained. Thus, the invention may contribute to development of alloy
technologies.
EXAMPLES
Example 1
[0011] SKD61, one of the steels for hot processing tools, was used as the die material and
the hardness was adjusted to be HRC 46, 49 or 52. JIS No.4 tensile test pieces were
prepared and some of them were subjected to machining to provide surrounding V-shaped
notches of depth 50%. The shapes and dimensions of the test pieces are shown in Fig.
1 (smooth surface), Fig. 2 (notch angle 30°), Fig. 3 (90°) and Fig. 4 (120°). Curvature
of the bottom of the notches is 0.2mm.
[0012] The test pieces were subjected to tensile tests to determine mean normal stress (σ
m) at which fracture occurs and at the same time whether the fracture is ductile fracture
or brittle fracture was recorded. The equivalent stress (σ
eq) and the maximum principal stress (σ
1max) were calculated. By plotting the mean normal stress (σ
m) in correspondence of the equivalent stress (σ
eq) there was obtained Fig. 5, by plotting the mean normal stress (σ
m) in correspondence of the maximum principal stress (σ
1max), Fig. 6, and plotting the maximum principal stress (σ
1max) in correspondence of the equivalent stress (σ
eq), Fig. 7, respectively.
[0013] Based on the graphs of Figs. 5 to 7 the critical values C
1 to C
3 for the brittle fracture of SKD61 steel were determined as follows:

Example 2
[0014] The prediction of die life according to the present invention was carried out in
regard to a ring-die, a die for limiting the outer surface of the work forged by a
punch and a counter punch from top and bottom used for hot forging a final gear, an
automobile part, having the cross section shown in Fig. 8. A used die made of SKD61
steel was inspected and it was found that crack of the ring-die occurred from the
outer surface.
[0015] The following three CG's were obtained by analyzing distribution of the critical
fracture values F
c1 to F
c3 on the basis of the above database by computer simulation (FEM analysis).

[0016] All the CG's showed that in some parts of outer surface of the ring-die F
c1 to F
c3 exceed the critical values. The fact agrees with the results of the above inspection.
[0017] Then, supposing the cases where the outer diameter of the ring-die is increased to
prevent the brittle fracture, the computer simulation was carried out again. Three
CG's as mentioned below were obtained. The CG's showed that there existed no longer
the parts where the F
c1 to F
c1 exceeded the critical values.
