JPWO2019017136A1 - Evaluation method of deformation limit on sheared surface of metal plate, crack prediction method and press mold design method - Google Patents

Abstract

We will provide evaluation methods and prediction methods for cracks due to bending at the end face of sheared blanks, and provide technologies that should be reflected in the press mold design method. It is an evaluation method of the deformation limit which evaluates the deformation limit in the shear processing side (10A) of metal plate (1) at the time of press-forming metal plate (1) by which shear processing was carried out. Of the strain distribution generated near the boundary between the bending outer surface of the metal plate (1) subjected to bending and the shearing surface (10A), the surface strain in the thickness direction X on the shearing surface (10A) at the evaluation position A sheared surface based on index values obtained from the gradients of the two surface strain distributions: the gradient of the distribution and the gradient of the surface strain distribution in the bending ridge direction Y by bending away from the sheared surface (10A) The deformation limit at (10A) is evaluated or cracks are predicted.

Description

  The present invention is based on a technology for evaluating and predicting a crack generated on a sheared surface when forming and processing a metal plate (material) after shear processing by press forming including bending processing, and the technology It is a technique regarding the design method (determination method) of the die shape which can suppress the crack of a metal plate.

Press forming is one of the representative metal processing techniques. A metal plate is sandwiched between a pair of molds and pressed, and the metal sheet is shaped so as to conform to the mold shape of the mold. This is a technology for processing a plate into a desired molded product shape. And this press molding is used in a wide manufacturing field, such as a car part, a machine part, a construction member, a household appliance, etc.
Cracking is one of the main problems of formability in this press molding. The cracks mainly include a crack due to tensile deformation of the material, a crack due to bending deformation, and a crack due to their combined deformation. Cracking due to tensile deformation is largely attributable to the ductility of the material, and is generally evaluated by a prediction method of cracking using a forming limit diagram. On the other hand, cracking due to bending deformation is largely attributed to the bendability R / t, which is the ratio of the bending radius R of the mold to the plate thickness t of the material, and the minimum bending radius and plate thickness at which cracking does not occur on the surface of the material It is common to predict cracking by experimentally determining the ratio of t. As a prediction method of a crack due to combined deformation of tensile deformation and bending deformation, there is, for example, a prediction method using a bending radius R of a mold and a tension generated in a metal plate (Patent Document 1).

The above-mentioned cracks are all cases in which a crack is generated from the surface of a metal plate and the crack penetrates in the thickness direction.
However, as an example of the occurrence of a crack, there is a case where a crack is generated from the end surface and the crack is caused by the deformation of the end surface of the sheared material. The end face of the material is poor in ductility because it has already undergone strong deformation by shear processing, and is characterized in that a crack is easily generated by concentration of stress on irregularities such as a fracture surface and burrs. For this reason, the evaluation method and the prediction method for cracking are different from the above.

  Conventionally, with regard to cracking of the end face of this material, many studies have been made on evaluation methods for stretch flange cracking caused by tensile deformation, for example, strain gradient in the direction along the end face and in-plane direction orthogonal to the end face The prediction method (patent document 2) etc. which used the gradient of the distortion distribution of, etc. are proposed. The gradient of strain distribution (herein also referred to as “strain gradient” in this specification) is a change in strain per unit length of strain distributed over a certain length. However, there are few effective prediction methods and evaluation methods regarding the crack of the end face of the material caused by the bending deformation and the combined deformation of the tensile deformation and the bending deformation. However, with regard to cracking at the end face of such a material, in particular, high strength steel sheets having a tensile strength of 590 MPa or more have begun to appear as problems.

Patent No. 5630312 Patent No. 5146395 gazette

Kazama, K. and Nagai, Y., "Analysis of End-Curl Deformation During Bending of Plates", Plasticity and Processing, Volume 45, No. 516, 2004, p. 40-44

  The present invention has been made focusing on the above points, and evaluation of cracks caused by bending deformation of the end face of a sheared base plate (metal plate), combined deformation of tensile deformation and bending deformation, The purpose is to provide prediction techniques and to provide technologies that should be reflected in the press die design method.

  In order to solve the problem, one aspect of the present invention is a deformation limit for evaluating the deformation limit of a sheared surface of the metal plate in forming the sheared metal plate by press forming including bending. In the evaluation method, of the distribution of strain generated in the vicinity of the boundary between the bending outer surface and the sheared surface of a metal plate subjected to bending, the surface strain distribution in the thickness direction at the sheared surface at the evaluation position. The deformation limit on the sheared surface is evaluated on the basis of index values obtained from the two surface strain distribution gradients of the gradient and the surface strain distribution gradient in the bending ridge direction by the bending.

According to one aspect of the present invention, it is possible to evaluate the deformation limit of the end face when deforming a target metal plate (material) after shearing. As a result, it is possible to design a mold shape that can predict the presence or absence of a crack from the end face with high accuracy or suppress the occurrence of a crack.
Further, according to one aspect of the present invention, it is possible to evaluate a plurality of forms of simple bending, combined deformation of bending and tension, and tensile deformation with one index.

It is a figure which shows an example of the molded article shape | molded by press molding including a bending process. It is a figure which shows an example of the state which the floatation from the type | mold generate | occur | produced at the time of bending. It is a figure which shows the example of the area | region which a crack does not generate | occur | produce in a deformation | transformation limit line or an end surface which is understood from the relationship between a crack distortion and an index value. It is a schematic diagram which illustrates simple bend-forming, (a) is a side view, (b) is a top view showing the relation between test piece 1 and punch 21. As shown in FIG. It is a schematic diagram which illustrates compound bending, and (a) is a side view and (b) is a top view showing the relation between test piece 1 and punch 32. As shown in FIG. It is a figure which shows the relationship between crack distortion and in-plane direction strain gradient. It is a figure which shows the relationship between a crack distortion and the strain gradient of thickness direction. It is a figure which shows the relationship between a crack distortion and the distortion gradient of the thickness direction normalized. It is a figure which shows the relationship between crack distortion and the index value which consists of a root mean square of two distortion gradients. It is a figure which shows the relationship between crack distortion and the index value (normalized value) which consists of a root mean square of two distortion gradients. It is a figure which shows the relationship between crack distortion and the index value which consists of two distortion gradients. It is a figure which shows the relationship between crack distortion and the index value (normalized value) which consists of a sum of two distortion gradients. It is a figure which shows the determination coefficient in each sample.

Next, an embodiment based on the present invention will be described with reference to the drawings.
The example of the molded article which shape | molded the metal plate by press molding including a bending process is shown in FIG. FIG. 1 shows an example of press forming into a bowl shape. In FIG. 1, reference numeral 1 B is a bending ridge direction which is a bending line position when bending the metal plate 1. The reference numeral 10A is an end surface (sheared surface). Further, a symbol Z is an example of a portion in the vicinity of the boundary between the bent outer surface and the sheared surface where a crack is likely to occur.
Then, as a result of various investigations by the inventors, when the material 1 (metal plate 1) is press-formed, as shown in FIG. 2, the end face of the material 1 is warped at the time of bending (for example, non-patent According to the document 1), the end face side of the material 1 floats from the bending portion of the mold. For this reason, on the central portion side of the material 1 (see symbol 1Ba in FIG. 1), bending deformation is received at a bending radius close to the bending radius R of the mold, but on the end surface side of the material 1 (see 1Bb in FIG. 1) It receives bending deformation at a bending radius different from that of the mold.

At this time, in the case of combined deformation of bending deformation and tensile deformation, when the tensile deformation is intensified, the lifting of the end face of the material relative to the mold tends to decrease, but the strength of the material 1 is 590 MPa or more or the thickness is 1 It was found that, if the thickness was more than 0 mm, cracking occurred before the lifting of the end face 10A of the material 1 was lost. Therefore, it has been found that the crack prediction method using the bending radius R of the mold can not predict cracks from the end face 10A with high accuracy as in the prior art.
In addition, since a very large strain gradient occurs in the thickness direction X of the material 1 during bending deformation, the strain gradient in the direction along the end surface 10A of the material 1 and the strain gradient in the in-plane direction orthogonal to the end surface 10A are relative. Less impact on Therefore, in the conventional prediction method using them, it was found that it is difficult to predict a crack of the end face 10A in the case of press forming including bending deformation.

Furthermore, inventors added various deformations to the end face 10A of the sheared material 1 and examined the presence or absence of a crack, and obtained the following findings.
The crack from the end face 10A develops in the direction orthogonal to the direction of the maximum principal strain given to the generation part. At that time, as the strain gradient in the direction orthogonal to the direction of the maximum principal strain is larger, there is a tendency to suppress the generation and progress of the crack. Then, among various directions orthogonal to the direction of the maximum principal strain, the value in the direction in which the strain gradient is maximum exhibits the most suppression effect. However, the direction in which the strain gradient is maximum is not constant due to the deformation applied to the end face 10A of the material 1 and, as described above, the end face 10A of the material 1 warps during bending deformation, so It is difficult to identify

And, in the method of this embodiment, the sheared surface 10A (shearing, whether it is a simple bending deformation at the sheared surface 10A of the metal plate 1 or a combination of a tensile deformation and a bending deformation in press working) The present invention provides a technique for making it possible to uniformly and accurately evaluate the evaluation of deformation limit and the prediction of cracking at the end face 10A) formed by the above.
Based on the above findings, the inventors of the present invention have two surface strain distributions: the gradient of the surface strain distribution in the thickness direction X in the vicinity Z of the crack generation part and the gradient of the surface strain distribution in the bending ridge direction Y. An evaluation method for evaluating the deformation limit of the sheared surface 10A of the metal plate 1 using the slope of the parameter as a parameter, and a prediction method of end face crack based on it are devised.

(About index value)
The evaluation which evaluates the deformation | transformation limit in 10 A of shear processing surfaces of the metal plate 1 used by this embodiment, and the index value used by prediction of the end surface crack based on it are demonstrated.
The index value in the present embodiment is the surface strain distribution in the thickness direction X in the sheared surface 10A among the distribution of strain generated near the boundary between the bending outer surface of the metal plate 1 subjected to bending and the sheared surface 10A. And the gradient of the surface strain distribution in the bending ridge direction Y by bending toward a direction away from the sheared surface 10A, the values of the gradients of the two surface strain distributions as variables. Here, the bending outer surface is a surface on the side that is deformed to be convex by bending.

The index value is, for example, an average value of the gradients of the two surface strain distributions as represented by the following equation (1). In this example, Δεcombine is the index value. The distortion gradient generally represents the steepness of distortion.
Here, the surface strain in the bending ridge direction Y is a surface strain from the end face 10A on the bending outer surface of the metal plate 1 subjected to bending toward the bending ridge direction Y, and the gradient thereof is the end face starting from the end face 10A. It becomes a gradient in the direction away from 10A. The gradient of the surface strain distribution in the thickness direction X is a gradient from the bending outer surface toward the inner surface.

Δεcombine = (Δεthickness
+ Δε ridgeline) / 2
... (1)
here,
Δε thickness: slope of surface strain distribution in thickness direction X Δε ridgeline: slope of surface strain distribution in bending ridge direction Y

It is found that the crack generated from the end face 10A is correlated with the gradient of the surface strain distribution in the thickness direction X in the vicinity Z of the crack generation part and the gradient of the surface strain distribution in the bending ridge direction Y However, as in equation (2), the index value Δεcombine, which is the root mean square of the gradients in those two directions, has a high correlation with the crack at the end face 10A. Therefore, by using the evaluation value calculated by the equation (2), it becomes possible to evaluate the deformation limit on the sheared surface 10A and predict the end face crack with higher accuracy.
Δεcombine = (((Δεthickness) ²
+ (Δε Ridgeline) ² ) ^0.5 ) / 2
... (2)
here,
Δε thickness: slope of surface strain distribution in thickness direction X Δε ridgeline: slope of surface strain distribution in bending ridge direction Y

In addition, the evaluation of deformation limit at end face 10A and prediction of end face crack using the index value of the present embodiment can be performed with one index value for a plurality of bending deformations, and the maximum strain gradient There is also an advantage that the value of the maximum strain gradient can be obtained by a simple method without specifying the direction. Moreover, the index value of this embodiment is applicable also to the crack of simple tensile deformation.
As a simple evaluation method, index value is calculated only from the gradient Δεthickness of surface strain distribution in the thickness direction X as shown in equation (3), and the occurrence of cracks from the end face 10A is evaluated Also good.
That is,
Δεcombine = Δεthickness (3)
As well.
This is because the value of the gradient of the surface strain distribution in the thickness direction X is higher than the value of the gradient of the surface strain distribution in the bending ridge direction Y as a crack evaluation index. For this reason, although the accuracy is lowered, there is an advantage that the equation (3) is simpler.

As another simple method, the sum of the gradients of the two surface strain distributions in the plate thickness direction X and the bending ridge direction Y may be used as an index value, as in equation (4).
Δcombine = Δεthickness
+ Δε ridgeline
... (4)
Here, the above equation (1) is an example of averaging the gradients of the two surface strain distributions by simple averaging when obtaining the index value from the gradients of the two surface strain distributions. From the viewpoint that the gradient of the surface strain distribution of X has a higher degree of contribution, the weight on the gradient side of the surface strain distribution in the thickness direction X is increased as in equation (5), and the index value is weighted average You may ask for

Δcombine = (a × Δεthickness
+ B x Δ ε ridgeline)
... (5)
Here, a and b are weighting coefficients, and are set to a relationship of a> b. For example, a = 0.7 and b = 0.3.
Similarly, in the equations (2) and (4), the weighting on the gradient side of the surface strain distribution in the thickness direction X may be set large.

For example, when using the sum of the gradients of two surface strain distributions as an index value as in equation (4), the weighting on the gradient side of the surface strain distribution in the thickness direction X is made large as in equation (6) You may set it.
Δ ε combine = a · Δ ε thickness
+ B · Δε ridgeline
... (6)
Here, a and b are weighting coefficients, and are set to a relationship of a> b. For example, it sets as a = 1.3 and b = 0.7.

(Normalization of evaluation value)
Further, the index value Δεcombine may be normalized by the reciprocal of the local elongation of the metal plate 1.
For example, using the local elongation L-El of the material 1 and multiplying the index value by the reciprocal of the local elongation L-El of the metal plate 1 as in the following equation (7), the index value is normalized. .
Εεcombine △ εεcombine / L-El
... (7)
When the reciprocal of the local elongation L-El of the material 1 is multiplied, the relationship between the maximum principal strain (hereinafter referred to as a crack strain) on the surface of the material 1 immediately before the occurrence of a crack and the equation (5) It was also found that it was stratified into Then, by performing normalization in this manner, the accuracy of the evaluation of the deformation limit and the prediction of the end face crack is further improved.

  Here, the local elongation L-El is obtained by tensile test of the material 1 with a predetermined shape (for example, a rectangular flat plate). Specifically, the local elongation L-El is determined from the difference between the elongation until the material 1 breaks (total elongation) and the elongation (uniform elongation) at which the tensile strength is maximized. In many materials 1, the uniform elongation and the local elongation L-El are often the same, so the uniform elongation or a half value of the total elongation may be employed instead of the local elongation L-El. In addition, although there is a method for obtaining the local elongation L-El of the material 1, it is not particularly limited.

(About the evaluation position to determine the index value)
Here, it is preferable that an evaluation position for obtaining the index value Δεcombine be a position at which it is estimated that a crack will occur when the end face 10A is deformed by bending by the target press forming. For example, it is the code Z position in FIG.
The position at which it is estimated that a crack will occur when the end face is deformed may be a position which is obtained in advance by experiment or molding simulation and in which the strain is largest. For example, a position where the curvature change is largest or its vicinity in the end face portion to be bent by bending is set as an evaluation position.

(About the end face by shear processing (sheared surface 10A))
The end face 10A after shear processing will be described.
Shearing is a method of separating the material 1 into two or more pieces by applying shear deformation to the material 1 using a pair of punches and a die to cause cracking.
In the present embodiment, the material 1 having the sheared surface 10A is manufactured by being sheared into a predetermined contour shape by general shear processing.

Here, the property of the end face 10A of the material 1 subjected to shear processing changes depending on the clearance which is the distance between the punch and the die, but the present embodiment is not limited to the property of the end face 10A. However, the clearance should be in the range of 5 to 20% of the thickness of the material 1 from the viewpoint of low processing load and less damage to the punch and the die, particularly 8 to 8 for steel plates with a tensile strength of 590 MPa or more. It is preferable to be 15%. Although there is also a method of widely creating the sheared surface 10A by shearing at a clearance of 5% or less, in the present embodiment, a test piece (raw material 1) to be evaluated by shearing by any method Even if it produces, it can apply.
Then, using the material 1 sheared into a predetermined contour shape as a test piece, various deformations are applied to determine crack strain and strain gradient for index value.
Here, as described above, the crack strain is the maximum principal strain of the surface of the material 1 immediately before the occurrence of a crack in the vicinity of the end face 10A at the evaluation position.

(On the application of simple bending deformation)
The method of giving bending deformation to the end face 10A of the sheared test piece may be any method as long as it can check the bending radius R of a die or jig for bending the test piece 1 and the presence or absence of cracks in the end face 10A. Such a method may be used.
In a simple manner, it is preferable to bend the end face 10A of the test piece 1 while changing the tip radius R of the V-shaped bending process or the U-shaped bending process to confirm the presence or absence of a crack. There are other bending methods such as roll forming.

(On the application of combined deformation of tensile deformation and bending deformation)
The method of giving compound deformation of tensile deformation and bending deformation to the end face 10A of the test piece, the tensile stress to be given to the test piece 1 can be changed by the mechanism that pinches the bead or the material 1, and the die or jig etc. which bends the material 1 Any method may be used as long as it can check the bending radius R and the presence or absence of cracks on the end face 10A. A simple method is to change the bending radius R of the punch, the cushion pressure, and the presence or absence of the bead by using a hat-shaped squeeze forming mold to give various complex deformations.

(About the evaluation method of the crack by bending)
According to the above-mentioned method, the crack strain immediately before the occurrence of the crack and the strain gradient on the surface of the material 1 at the position where the crack occurs are determined.
Specifically, it is preferable to obtain at the boundary between the outer surface of the material 1 which is subjected to bending deformation and the end surface 10A which is sheared. This is because the occurrence of a crack is likely to occur at the above boundary.
A known method may be employed for determining the crack strain and strain gradient. As a method of determining tension and strain gradient, for example, an experimental method of making a minute mark on the surface of the material 1 to obtain strain from deformation of the mark, a method of predicting strain by forming simulation by finite element method, etc. However, the method is not limited to this, and a known method may be applied. Thus, the distribution of surface strain is determined, and the strain gradient is calculated from the determined distribution of surface strain.

The shape of the mark may be a circle pattern, a dot pattern, a grid pattern, a concentric circle pattern, or any other shape that can measure strain after molding. Moreover, although the mark method includes electrolytic etching, photo etching, transfer by ink (stamp printing), etc., any method may be used. However, scribing is not preferable because it induces cracking. In the case of forming simulation, there is no need to reproduce shear processing, and a model in which the shape of the end of the sheared material 1 is reproduced or a model in which the shape of the end is simply flat may be used.
The crack strain can be calculated with high accuracy by using the finite element method using a three-dimensional solid element.

  The strain gradient is preferably calculated in the vicinity of a portion where a crack is estimated to occur. The smaller the calculation range of the strain gradient in the thickness direction X is, the better, and it is preferably 90% or less of the thickness of the material 1 and more preferably 50% or less. This is because the cracks occurring in the initial stage are minute, and therefore the range to be evaluated is also accurate when calculated in the same minute range. 10 mm or less is preferable and, as for the calculation range of the strain gradient of bending ridge line direction Y, 5 mm or less is more preferable. This is because the warpage generated on the end face 10A of the material 1 at the time of bending deformation is in the above-mentioned range, and the deformation of the warpage is taken into consideration.

(About the evaluation of deformation limit)
Next, an example of the evaluation method of the deformation | transformation limit in 10 A of shear processing surfaces of the metal plate 1 using the above-mentioned index value is demonstrated.
As described above, when the above simple bending is performed, the crack strain immediately before the occurrence of the crack on the sheared surface 10A and the index value at the same position in the bending immediately before the occurrence of the crack are Calculated as an acquisition value of Similarly, when the combined deformation of the tensile deformation and the bending deformation is performed, the crack strain immediately before the occurrence of the crack on the sheared surface 10A and the index value at the same position in the bending immediately before the occurrence of the crack And as a second acquired value. The crack strain may be immediately after the occurrence of a crack, but the crack strain may be as good as possible in the initial state of the crack.

Then, as shown in FIG. 3, a straight line passing the first acquired value and the second acquired value is taken as a deformation limit line.
Here, since the crack strain in the state where the crack generation is as small as possible is preferable for the calculation of the crack strain, the crack strain in the state immediately before the crack generation is adopted.
Further, as described later, in the same material 1, since the relationship between the crack strain and the index value is in a linear relationship, it is possible to obtain the above-mentioned deformation limit line by obtaining two points.
Here, since the deformation limit line determined in the present embodiment can be applied to cracking at the end face 10A due to simple tensile deformation, crack strain when cracking occurs at the end face 10A due to simple tensile deformation and an index at that time The combination with the value may be used to omit acquisition of one of the simple bending deformation data and the composite deformation data.

With this deformation limit line, the limit of deformation on the sheared surface 10A during bending deformation is evaluated.
Alternatively, the press-formed product may be determined such that the bending shape of the end face 10A of the bending deformation portion when forming into a product shape by press molding falls below the deformation limit line. Alternatively, at the end face 10A of the bending deformation portion when forming into a product shape by press molding, the shape of the press die is determined or the process selection of the press working is performed so as to be smaller than the deformation limit line. You may.

(Prediction of cracking)
The relationship between the crack strain and the index value is obtained in advance as in the evaluation method of the deformation limit as described above, and based on the relationship, it is determined whether or not it is located in [a region where no crack occurs] in FIG. Predict if cracking will occur.
Then, design deformation of the press die used in press molding is performed at a position where it is predicted (evaluated) that a crack will occur, so that the occurrence of the crack at the metal plate end face 10A is suppressed.

(effect)
As described above, according to the present embodiment, it is possible to accurately evaluate the occurrence of cracks from the end face 10A when the target material 1 is deformed after shearing.
This evaluation method can also be used as a method of predicting the occurrence of cracking. For example, it becomes possible to accurately predict whether the shape of a mold used when press-forming various parts such as panel parts of vehicles, and structural / framework parts is appropriate. Further, since the press molding can be stably performed, the defective rate of the press-formed product can be reduced, which can also contribute to shortening of the manufacturing period of the press die.
Since the material 1 having high strength generally has low ductility, it is easy to cause cracking by deforming the sheared surface 10A of the material 1. Therefore, the present invention is more effective as the material 1 has higher strength. Specifically, the material 1 having a tensile strength of 590 MPa or more is preferably used, and the material 1 having a tensile bending strength of 980 MPa or more is more preferable. In addition, as the type of the material 1, cost is excellent when targeting the material 1 that is mass-produced like press molding, and it is preferable to target the metal plate 1 and particularly steel plate.

Next, an embodiment based on the present invention will be described.
The present invention was tested on three types of materials A, B and C shown in Table 1. Each material 1 was subjected to shear processing to produce a rectangular test piece.
The shearing process used a 10 × 20 mm rectangular punch and a 10.3 × 20.3 mm rectangular die (not shown). The clearance of the mold was changed according to the thickness of the material 1, and the material A was 15% of the thickness, the material 1B was 10.7% of the thickness, and the material 1C was 8.3% of the thickness.

The bending of two types of simple bending deformation and combined deformation of tensile deformation and bending deformation was performed on the test piece, and the relationship between the crack strain and the strain gradient in the bending processing in each form was determined. At the same time, the relationship between crack strain and strain gradient for simple tensile deformation was determined.
In the simple bending deformation, the end face 10A of the test piece 1 was bent by a V-bending mold having an apex angle of 90 ° shown in FIG. The test piece was placed so that the sag side of the sheared portion was in contact with the bending R portion at the top of the punch 21. Then, the bending radius R of the tip of the punch 21 was changed at a pitch of 0.5 mm to execute a deformation test, and the minimum bending radius at which a crack was not generated at the end face 10A of the test piece was determined. Reference numeral 20 indicates a die.

Thereafter, cracking strain and strain gradient of the end face 10A when bent at the minimum bending radius were calculated by forming simulation.
In addition, the calculation range of the strain gradient in the plate thickness direction X was 50% of the plate thickness of each material 1, and the calculation range of the strain gradient in the bending ridge direction Y was 5 mm.
The combined deformation of tensile deformation and bending deformation was applied to the end face 10A of the material 1 by a hat-shaped drawing mold shown in FIG. The test piece 1 was placed such that the sag side of the sheared portion of the test piece 1 was in contact with the bending R portion of the punch 32. Reference numeral 30 denotes a die, and reference numeral 31 denotes a crease presser.

  The bending radius R of the shoulder of the punch 32 was tested using two types of 5 mm and 10 mm, and the wrinkle holding force was changed at 2.5 ton pitch, and no crack was generated at the end face 10A of the test piece at each bending radius The minimum wrinkling force was determined. After that, crack strain and strain gradient of the end face 10A when compound deformation was given under the same conditions by molding simulation were calculated. The calculation ranges of the strain gradient in the thickness direction X and the strain gradient in the bending ridge direction Y are the same as in the case of the above-mentioned bending deformation.

At the same time, a tensile test was performed on the test piece to determine the minimum tensile force at which no crack occurs on the end face 10A of the test piece. Thereafter, cracking strain and strain gradient of the end face 10A when tensile deformation was given under the same conditions were calculated by molding simulation. In this case, using the strain gradient in the tension direction from the end surface 10A as the strain gradient in the bending ridge direction Y, the crack strain of the facet 10A and various strain gradients were calculated.
And it arranged using the crack distortion and various strain gradients which were calculated | required as mentioned above. The straight lines between the plots of the graph are the least squares regression line.

<Sample 1>
Sample 1, as shown in FIG. 6, is the result of arranging the crack strain by the strain gradient in the in-plane direction orthogonal to the end face 10A of the test piece.
<Sample 2>
Sample 2 is the result of arranging the crack strain by the strain gradient Δεthickness in the thickness direction X of the end face 10A of the material 1 as shown in FIG. The result shown in FIG. 4 is the simplified version (corresponding to equation (3)) described in the embodiment.
<Sample 3>
Sample 3, as shown in FIG. 8, is the result of normalizing sample 2 by multiplying Δε thickness as an index value by the reciprocal of L-El.

<Sample 4>
As shown in FIG. 9, sample 4 is a result of arranging the crack strain by calculating Δεcombine as an index value by the equation (2) based on the present embodiment.
<Sample 5>
Sample 5, as shown in FIG. 10, is the result of normalizing sample 4 by multiplying Δεcombine as an index value by the reciprocal of L-El.
<Sample 6>
Sample 6, as shown in FIG. 11, is a result of arranging crack distortion by calculating Δεcombine as an index value according to the equation (4) based on the present embodiment.
<Sample 7>
Sample 7, as shown in FIG. 12, is the result of normalizing sample 6 by multiplying Δεcombine as an index value by the reciprocal of L-El.

(Verification)
Here, in the data of each sample, the data of the group with the smallest value of the crack strain is the data in the simple tension, and the data of the group with the largest value of the crack strain is the data in the simple bending The data of the group in which the value of crack strain is in the middle are the data in composite bending.
The results of the samples 1 to 7 are evaluated by the determination coefficient which is the square of the correlation coefficient with the regression line, and the results are shown in FIG. 13 and Table 2.

Here, the closer the determination coefficient is to 1, the smaller the error between the plot of the graph and the regression line, and the better the evaluation accuracy.
As can be seen from FIG. 13 and Table 2, in any of the materials A, B, and C, the accuracy of Sample 1 was inferior to Samples 2 to 7.
Also, it can be seen that although the samples 2 and 3 have the same accuracy, the results of each material 1 can be stratified linearly.
Similarly, in the samples 4 to 7, although the accuracy was the same, the results of each material 1 could be stratified.

Thus, as can be seen from the samples 3, 5 and 7, by performing multiplication by the reciprocal of L-El and normalization, variation in the slope of the regression line due to the material can be suppressed, so for multiple types of materials It can be seen that the same regression line gradient can be adopted.
In addition, it was found that the accuracy was improved in the samples 4 to 7 according to the present invention than the samples 2 and 3. The samples 6 and 7 are inferior in the accuracy of the materials A and B as compared with the samples 4 and 5, but it is understood that the accuracy is significantly better than the samples 1.

  The entire contents of Japanese Patent Application 2017-140811 (filed on July 20, 2017), to which the present application claims priority, form a part of the present disclosure by reference. Although the description herein has been made with reference to a limited number of embodiments, the scope of rights is not limited to them, and modifications of each embodiment based on the above disclosure are obvious to those skilled in the art.

1 Material (metal plate)
10A sheared surface (end face)
X thickness direction Y ridge direction

Claims (9)

It is an evaluation method of a deformation limit which evaluates a deformation limit on a sheared surface of the metal plate when forming a sheared metal plate by press forming including bending,
Of the distribution of strain generated near the boundary between the bending outer surface and the sheared surface of the metal plate subjected to bending, the gradient of the surface strain distribution in the thickness direction at the sheared surface at the evaluation position and the bending A deformation limit evaluation method characterized in that a deformation limit on a sheared surface is evaluated based on index values obtained from gradients of two surface strain distributions with a gradient of surface strain distribution in a bending ridge direction.   The deformation limit on the sheared surface is evaluated from the relationship between the crack strain which is the maximum principal strain immediately before the crack is generated at the end face of the evaluation position and the index value at that time. Evaluation method of the deformation limit.   The method according to claim 1 or 2, wherein the index value is a root mean square of gradients of two surface strain distributions.   The method according to claim 1 or 2, wherein the index value is a sum of gradients of two surface strain distributions.   The evaluation of the deformation limit according to any one of claims 1 to 4, wherein the index value obtained from the gradients of the two surface strain distributions is normalized by the reciprocal of the local elongation of the metal plate. Method.   The method according to any one of claims 1 to 5, wherein each surface strain in the thickness direction and the bending ridge direction is calculated by forming simulation of bending in order to obtain the two surface strain distributions. Evaluation method of deformation limit described.   The deformation limit according to any one of claims 1 to 6, characterized in that the evaluation position is a position at which it is estimated that a crack will occur when the end face is deformed in the target bending process. Evaluation method. A crack prediction method for predicting the presence or absence of a crack when forming a sheared metal sheet by press forming including bending,
Among the distribution of strain generated near the boundary between the bending outer surface and the sheared surface of the metal sheet subjected to bending, the gradient of the surface strain distribution in the thickness direction at the sheared surface and the bending ridge direction by the bending The relationship between the index value with the slopes of the two surface strain distributions with the slope of the surface strain distribution and the crack strain, which is the maximum main strain just before the crack is generated at the end face, is determined in advance,
A crack prediction method characterized in that a crack on a sheared surface is predicted from the relationship and an index value obtained from the gradient of the two surface strain distributions at an evaluation position.   The shape of a press die in which the occurrence of a crack at the end face of a metal plate is suppressed by using the evaluation method of the deformation limit according to any one of claims 1 to 7 or the crack prediction method according to claim 8 How to design a press mold characterized by designing.

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