Moving least squares response surface approximation: Formulation and metal forming applications

Computers and Structures

Volumn 83, Issue 17-18, 2005, Pages 1411-1428

  Breitkopf, Piotr ^a   Naceur, Hakim ^a   Rassineux, Alain ^a   Villon, Pierre ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Moving least squares; Optimization; Pattern search; Response surface; Sheet metal forming

Indexed keywords

ALGORITHMS; DYNAMICS; INVERSE PROBLEMS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PROBLEM SOLVING; SURFACE PHENOMENA;

MOVING LEAST SQUARES; PATTERN SEARCH; RESPONSE SURFACES; SHEET METAL FORMING;

METAL FORMING;

EID: 17744363077     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.07.011     Document Type: Conference Paper

References (33)

1. Stander N. The successive response surface method applied to sheet-metal forming. In: Proceedings, First MIT Conference on Computational Fluid and Solid Mechanics, June 12-15, 2001. p. 481-5
2. W.J. Roux, N. Stander, and R.T. Haftka Response surface approximations for structural optimization Int J Numer Methods Eng 42 1998 517 534
3. R.H. Myers, and D.C. Montgomery Response surface methodology process and product optimization using designed experiments 2nd ed. 2002 John Wiley New York
4. Zhang T, Rahman S, Choi KK. A hybrid method using response surface and pattern search for derivative-free design optimization. In: Mang HA, Rammerstorfer FG, Eberhardsteiner J, editors. Proceedings of the Fifth World Congress on Computational Mechanics (WCCMV), Vienna, Austria, July 7-12. Austria: Vienna University of Technology; 2002. ISBN3-9501554-0-6, 〈http://wccm.tuwien.ac.at〉
5. P. Lancaster, and K. Salkauskas An introduction: Curve and surface fitting 1986 Academic Press
6. Kleiber M, Knabel J, Rojek J. Reliability assessment in metal forming operations. In: Mang HA, Rammerstorfer FG, Eberhardsteiner J, editors. Proceedings of the Fifth World Congress on Computational Mechanics (WCCMV), Vienna, Austria, July 7-12. Austria: Vienna University of Technology; 2002. ISBN3-9501554-0-6, 〈http://wccm.tuwien.ac.at〉
7. H. Kurtaran, A. Eskandarian, D. Marzougui, and N.E. Bedewi Crashworthiness design optimization using successive response surface approximations Comput Mech 29 2002 409 421
8. P. Breitkopf, A. Rassineux, and P. Villon An introduction to moving least squares meshfree methods Revue Européenne des Eléments Finis 11 2002 825 868
9. Breitkopf P, Rassineux A, Villon P, Saannouni K, Cherouat H. Meshfree operators for consistent field transfer in large deformation plasticity. In: Proceedings of ECCOMAS-ECCM-2001, Cracow, Poland, June 26-29, 2001
10. A. Rassineux, P. Breitkopf, and P. Villon Simultaneous surface and tetrahedron mesh adaptation using meshfree techniques Int J Numer Methods Eng 57 2003 371 389
11. R.M. Lewis, and V. Torczon Pattern search methods for linearly constrained minimization SIAM J Optim 10 2002 917 941
12. J.L. Batoz, Y.Q. Guo, and F. Mercier The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts Eng Comput 15 1998 864 892
13. M. El Mouatassim, B. Thomas, J.P. Jameux, and E. Di Pasquale Shen Dawson Simulation of materials processing: Theory, methods and application 1995 Balkema Rotterdam 761 766
14. The MathWorks, Inc. MATLAB Optimization Toolbox, The MathWorks, Inc., Natick, MA 01760, 1994-2001
15. G. Vanderplaats Numerical optimization techniques for engineering design 1984 McGraw-Hill
16. Quantech ATZ. Stampack user guide-version 5.3, Edificio Nexus, Gran Capitán, 2-4, 08034, Barcelona, Spain, 2003
17. Gelin JC, Picart P, editors. Proceedings of the 4th Int Conf Numerical Simulation of 3D Sheet Metal Forming processes, Numisheet'99, Besançon, France, 1999
18. Mori K. Simulation of material processing: theory, methods and applications. In: Numiform'2001, 7th Int Conf on Numerical Methods in Industrial Forming Processes, Toyohashi, Japan, 2001
19. O. Barlet, J.L. Batoz, Y.Q. Guo, F. Mercier, H. Naceur, and C. Knopf-Lenoir The inverse approach and mathematical programming techniques for optimum design of sheet forming parts ASME 3 1996 227 232
20. Y.Q. Guo, J.L. Batoz, S. Bouabdallah, and H. Naceur Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach Comput Struct 78 2000 133 148
21. Hillmann M, Kubli W. Optimization of sheet metal forming processes using simulation programs. In: Numisheet 99, vol. 1, Besançon, France, 1999. p. 287-92
22. Y.Q. Guo, J.L. Batoz, J.M. Detraux, and P. Duroux Finite element procedures for strain estimations of sheet metal forming parts Int J Numer Methods Eng 39 1990 1385 1401
23. Lemaitre J, Chaboche JL. Mécanique des matériaux solides, Ed. Dunod, 1996
24. Batoz JL, Dhatt G. Modélisation des structures par éléments finis, vol. 3, Ed. Hermès, Paris, 1992
25. S. De, and K.J. Bathe Towards an efficient meshless computational technique: the method of finite spheres Eng Comput 18 2001 170 192
26. K.J. Bathe, A. Iosilevitch, and D. Chapelle An evaluation of the MITC shell elements Comput Struct 75 2000 1 30
27. J.-L. Batoz, K.-J. Bathe, and L.-W. Ho A study of three-bode triangular plate bending elements Int J Numer Methods Eng 15 1980 1771 1812
28. J.L. Batoz, C.L. Zheng, and F. Hammadi Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements Int J Numer Methods Eng 52 2001 615 630
29. Y.Q. Guo, W. Gati, H. Naceur, and J.L. Batoz An efficient DKT rotation free shell element for springback simulation in sheet metal forming Comput Struct 80 2002 2299 2312
30. Y.Q. Guo, H. Naceur, K. Debray, and F. Bogard Initial solution estimation to speed up inverse approach in stamping modeling Int J Computer-Aided Eng 20 2003 810 834
31. H. Naceur, Y.Q. Guo, and W. Gati New Enhancements in the inverse approach for the fast modeling of autobody stamping process Int J Comput Eng Sci 3 2002 355 384
32. H. Naceur, A. Delamézière, J.L. Batoz, Y.Q. Guo, and C. Knopf-Lenoir Some improvements on the optimum process design in deep drawing using the inverse approach J Mater Process Technol 146 2002 250 262
33. Y.Q. Guo, J.L. Batoz, H. Naceur, S. Bouabdallah, F. Mercier, and O. Barlet Recent developments on the analysis and optimum design of sheet metal forming parts using a simplified inverse approach Comput Struct 78 2000 133 148