Blank shape determining method, blank, press formed product, press forming method, computer program, and recording medium
A blank shape determining method includes: a process of making a forming analysis of forming a reference blank into a reference formed product and a acquiring sheet thickness distribution and a plastic strain distribution; a process of acquiring a forming failure evaluation index for the reference blank; a process of estimating a region, which includes an end edge portion at which the forming failure evaluation index exceeds a predetermined threshold, within the reference blank as a forming failure region; a process of generating a plurality of corrected blanks; a process of making a forming analysis of forming the corrected blanks into corrected formed products and acquiring a sheet thickness distribution and a plastic strain distribution; a process of acquiring the forming failure evaluation index for the corrected formed product; and a process of determining a shape of the corrected blank having a smallest maximum value of the forming failure evaluation index as a shape of a blank provided for press forming.
1. A press forming method comprising:
a first calculating process of making a forming analysis of forming a reference blank (B 0 ) into a reference formed product (P 0 ) on the basis of material parameters, forming conditions, and analytical models, and acquiring a sheet thickness distribution (D T ) and a plastic strain distribution (D S );
a first faulting failure evaluation index acquiring process of acquiring a forming failure evaluation index (I) for the reference blank (B 0 ) on the basis of the sheet thickness distribution (D T ) and the plastic strain distribution (D S ) that are acquired in the first calculating process;
a forming failure region estimating process of estimating a region, which includes an end edge portion (α E ) at which the forming failure evaluation index (I) exceeds a predetermined threshold, within the reference blank (B 0 ) as a forming failure region (α);
a corrected blank generating process of generating a plurality of corrected blanks (B i ) (where i=1, 2, 3 . . . n), in each of which a shape of the end edge portion (α E ) is corrected;
a second calculating process of making a forming analysis of forming the plurality of corrected blanks (B i ) into corrected formed products (P i ) on the basis of the material parameters, the forming conditions, and the analytical models, and acquiring the sheet thickness distribution (D T ) and the plastic strain distribution (D S );
a second forming failure evaluation index acquiring process of acquiring the forming failure evaluation index (I) for the corrected formed products (P i ) on the basis of the sheet thickness distribution (D T ) and the plastic strain distribution (D S ) that are acquired in the second calculating process;
a blank shape determining process of determining a shape of the corrected blank (B i ) having a smallest maximum value of the forming failure evaluation index (I) as a shape of a blank (B) provided for press forming; and
a press forming process of press forming the blank based on the determined shape.
2. The press forming method according to claim 1 , wherein in the forming failure region estimating process, the end edge portion (α E ) included in the forming failure region (α) includes a linear section (α S ) and a curvilinear section (α C ).
3. The press forming method according to claim 2 , wherein in the corrected blank generating process, a shape of a region including a singular point extracted from a curvature of the curvilinear section (α C ) within the end edge portion (α E ) of the reference blank (B 0 ) is corrected to generate the plurality of corrected blanks (B i ).
4. The press forming method according to claim 1 , wherein:
the corrected blank generating process includes: within the end edge portion (α E ) included in the forming failure region (α),
setting at least one of element points at which the forming failure evaluation index (I) is higher than an average value at the end edge portion (α E ) as a representative element point (E R ); and
setting each element point other than the representative element point (E R ) as a following element point (E F ); and
the representative element point (E R ) and the following element point (E F ) are moved a plurality of times in a predetermined direction to generate the plurality of corrected blanks (B i ).
5. The press forming method according to claim 4 , wherein in the corrected blank generating process, the predetermined direction is a normal direction of the end edge portion (α E ) at the representative element point (E R ).
6. The press forming method according to claim 4 , wherein in the corrected blank generating process, the element points are moved in the predetermined direction in units of predetermined amount to generate the plurality of corrected blanks (B i ).
7. The press forming method according to claim 4 , wherein in the corrected blank generating process, a single movement amount of the representative element point (E R ) is smaller than that of the following element point (E F ).
8. The press forming method according to claim 4 , wherein the corrected blank generating process includes:
determining whether the forming failure evaluation index (I) increases as the representative element point (E R ) is moved in the predetermined direction; and
when it is determined that the forming failure evaluation index (I) increases as the representative element point (E R ) is moved in the predetermined direction, moving the representative element point (E R ) in a direction opposite to the predetermined direction to generate the plurality of corrected blanks (B i ).
9. The press forming method according to claim 1 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a sheet thickness decrease rate.
10. The press forming method according to claim 1 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a hole expansion rate.
11. The press forming method according to claim 1 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a comparative value between a maximum major strain (ε 1 ) and a fracture limit major strain (ε 1 *).
12. The press forming method according to claim 1 , wherein:
a forming failure is a wrinkle; and
the forming failure evaluation index (I) is a sheet thickness increase rate.
13. A non-transitory computer-readable recording medium in which a computer program is recorded, the computer program executes:
a first calculating process of making a forming analysis of forming a reference blank (B 0 ) into a reference formed product (P 0 ) on the basis of material parameters, forming conditions, and analytical models, and acquiring a sheet thickness distribution (D T ) and a plastic strain distribution (D S );
a first forming failure evaluation index acquiring process of acquiring a forming failure evaluation index (I) for the reference blank (B 0 ) on the basis of the sheet thickness distribution (D T ) and the plastic strain distribution (D S ) that are acquired in the first calculating process;
a forming failure region estimating process of estimating a region, which includes an end edge portion (α E ) at which the forming failure evaluation index (I) exceeds a predetermined threshold within the reference blank (B 0 ), as a forming failure region (α);
a corrected blank generating process of generating a plurality of corrected blanks (B i ) (where i=1, 2, 3 . . . n), in each of which a shape of the end edge portion (α E ) is corrected;
a second calculating process of making a forming analysis of forming the plurality of corrected blanks (B 1 ) into corrected formed products (P i ) on the basis of the material parameters, the forming conditions, and the analytical models, and acquiring the sheet thickness distribution (D T ) and the plastic strain distribution (D S );
a second forming failure evaluation index acquiring process of acquiring the forming failure evaluation index (I) for the corrected formed products (P i ) on the basis of the sheet thickness distribution (D T ) and the plastic strain distribution (D S ) that are acquired in the second calculating process;
a blank shape determining process of determining a shape of the corrected blank (B i ) having a smallest maximum value of the forming failure evaluation index (I) as a shape of a blank (B) provided for press forming; and
a press forming process of press forming the blank based on the determined shape.
14. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein in the forming failure region estimating process, the end edge portion (α E ) included in the forming failure region (α) includes a linear section (α S ) and a curvilinear section (α C ).
15. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 14 , wherein in the corrected blank generating process, a shape of a region including a singular point extracted from a curvature of the curvilinear section (α C ) within the end edge portion (α E ) of the reference blank (B 0 ) is corrected to generate the plurality of corrected blanks (B i ).
16. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein:
the corrected blank generating process includes: within the end edge portion (α E ) included in the forming failure region (α),
setting at least one of element points at which the forming failure evaluation index (I) is higher than an average value at the end edge portion (α E ) as a representative element point (E R ); and
setting each of element points other than the representative element point (E R ) as a following element point (E F ); and
the representative element point (E R ) and the following element point (E F ) are moved a plurality of times in a predetermined direction to generate the plurality of corrected blanks (B i ).
17. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 16 , wherein in the corrected blank generating process, the predetermined direction is a normal direction of the end edge portion (α E ) at the representative element point (E R ).
18. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 16 , wherein in the corrected blank generating process, the element points are moved in the predetermined direction in units of predetermined amount to generate the plurality of corrected blanks (B i ).
19. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 16 , wherein in the corrected blank generating process, a single movement amount of the representative element point (E R ) is smaller than that of the following element point (E F ).
20. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 16 , wherein the corrected blank generating process includes:
determining whether the forming failure evaluation index (I) increases as the representative element point (E R ) is moved in the predetermined direction; and
when it is determined that the forming failure evaluation index (I) increases as the representative element point (E R ) is moved in the predetermined direction, moving the representative element point (E R ) in a direction opposite to the predetermined direction to generate the plurality of corrected blanks (B i ).
21. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a sheet thickness decrease rate.
22. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a hole expansion rate.
23. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein:
a forming failure is a stretch flange fracture; and
the forming failure evaluation index (I) is a comparative value between a maximum major strain (ε 1 ) and a fracture limit major strain (ε 1 *).
24. The non-transitory computer-readable recording medium in which a computer program is recorded according to claim 13 , wherein:
a forming failure is a wrinkle; and
the forming failure evaluation index (I) is a sheet thickness increase rate.