Shape design sensitivity analysis of nonlinear 2-D solids with elasto-plastic material

Structural Optimization

Volumn 18, Issue 4, 1999, Pages 236-246

  Park, Y H ^a   Choi, K K ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ELASTOPLASTICITY; SENSITIVITY ANALYSIS; STIFFNESS MATRIX;

SHAPE DESIGN SENSITIVITY ANALYSIS;

STRUCTURAL ANALYSIS;

EID: 0033356898     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01223305     Document Type: Article

References (29)

1. Antunez, H.J.; Kleiber, M. 1996: Sensitivity of forming processes to shape parameters. Comp. Meth. Appl. Mech. Engrg. 137, 189-206
2. Arota, J.S.; Cardoso, J.B. 1985: Variational principle for shape design sensitivity analysis. J. Struct. Mech. 13, 245-266
3. Bathe, K.J. 1982: Finite element procedure in engineering analysis. Englewood Cliffs: Prentice Hall
4. Chakrabarty, J. 1987: Theory of plasticity. New York: McGraw-Hill
5. Choi, K.K. 1993: Design sensitivity analysis of nonlinear structures - II. In: Structural Optimization: Status & Promise, AIAA Progress in Aeronautics and Astronautics 150, Chapter 16, pp. 407-446
6. Choi, K.K.; Duan, W. 1997: Shape design optimization of nonlinear structures with hyper-elastic materials. Int. J. Numer. Meth. Engrg. (submitted)
7. Choi, K.K.; Santos, J.L.T. 1987: Design sensitivity analysis of nonlinear structural systems. Part I: Theory. Int. J. Numer. Meth. Engrg. 24, 2039-2055
8. Haug, E.J.; Choi, K.K.; Komkov, V. 1986: Design sensitivity analysis of structural systems. New York: Academic Press
9. Kaneko, I.; Maier, G. 1981: Optimal design of plastic structures under displacement constraints. Comp. Meth. Appl. Mech. Engrg. 27, 369-391
10. Kleiber, M. 1993: Shape and nonshape structural sensitivity analysis for problems with any material and kinematic nonlinearity. Comp. Meth. Appl. Mech. Engrg. 108, 73-97
11. Kleiber, M.; Hien, T.D.; Antunez, H.; Kowalczyk, P. 1995: Parameter sensitivity of elastoplastic response. Eng. Computations 12, 263-280
12. Lee, T.H.; Arora, J.B. 1993: Numerical implementation of design sensitivity analysis of elastoplastic structures. Proc. AIAA/ASME/ASCE/AHS 34-th Structures, Structural Dynamics, and Material Conf., pp. 1941-1951
13. Lee, T.H.; Arora J.S.; Kumar, K. 1993: Shape design sensitivity analysis of viscoplastic structures. Comp. Meth. Appl. Mech. Engrg. 108, 237-259
14. Leu, L. J.; Mukherjee, S. 1994: Implicit objective integration for sensitivity analysis in nonlinear solid mechanics. Int. J. Numer. Meth. Engrg. 37, 3843-3868
15. Lubliner 1987: Plasticity theory. New York: McGraw-Hill
16. Michaleris, P.; Tortorelli, D.A.; Vidai, C.A. 1994: Tangent operators and design sensitivity formulations for transient nonlinear coupled problems with applications to elastoplasticity. Int. J. Numer. Meth. Engrg. 37, 2417-2499
17. Mukherjee, S.; Chandra, A. 1989: A boundary element formulation for design sensitivity in materially nonlinear problems. Acta Mechanics 78, 243-253
18. Nayak, G.C.; Zienkiewicz, O.C. 1972: Convenient form of stress invariants for plasticity. J. Struct. Div. ASCE, 949-953
19. Owen, D.R.J.; Hinton, E. 1980: Finite elements in plasticity. Swansea, UK: Pineridge Press Limited
20. Park, Y.H.; Choi, K.K. 1996a: Design sensitivity analysis of truss structural systems with elasto-plastic material. Mech. Struct. Mach. 24, 189-216
21. Park, Y.H.; Choi, K.K. 1996b: Configuration design sensitivity analysis of nonlinear structural systems with elastic material. Mech. Struct. Mach. 24, 217-256
22. Ryu, Y.S.; Haririan, M.; Wu, C.C.; Arora, J.S. 1985: Structural design sensitivity analysis of nonlinear response. Comp. & Struct. 21, 245-255
23. Simo, J.C.; Taylor, R.L. 1985: Consistent tangent operator for rate-independent elastoplasticity. Comp. Meth. Appl. Mech. Engrg. 48 101-118
24. Sousa, L.G.; Cardoso, J.B. 1997: Optimal cross-section and configuration design of elastic-plastic structures subject to dynamic cyclic loading. Struct. Optim. 13, 112-118
25. Spencer, A.J.M. 1992: Continuum mechanics. New York: John Wiley & Sons
26. Tsay, J.J.; Arora, J.S. 1990: Nonlinear structural design sensitivity analysis for path dependent problems. Part 1: General theory. Comp. Meth. Appl. Mech. Engrg. 81 183-208
27. Vidai, A.A.; Haber, R.B. 1993: Design sensitivity analysis for rate independent elastoplasticity. Comp. Meth. Appl. Mech. Engrg. 107, 393-431
28. Wu, C.C.; Arora, J.S. 1986: Design sensitivity analysis and optimization of nonlinear structural response using incremental procedure. AIAA J. 25, 1118-1125
29. Zhang, Q.; Mukherjee, S.; Chandra, A. 1992: Shape design sensitivity analysis for geometric and materially nonlinear problems by the boundary element method. Int. J. Solids Struct. 20, 2503-2525