Shape sensitivity in elasto-plastic computations

Computer Methods in Applied Mechanics and Engineering

Volumn 171, Issue 3-4, 1999, Pages 371-386

  Kowalczyk, Piotr ^a   Kleiber, Michał ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; GEOMETRY; INTEGRAL EQUATIONS; MATRIX ALGEBRA; SENSITIVITY ANALYSIS;

DOMAIN PARAMETRIZATION METHOD; ISOPARAMETRIC ELEMENT; SHAPE SENSITIVITY;

ELASTOPLASTICITY;

EID: 0033115614     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00216-3     Document Type: Article

References (17)

1. J.J. Tsay and J.S. Arora, Nonlinear structural design sensitivity analysis for path-dependent problems. Part 1: General theory, Comput. Methods Appl. Mech. Engrg. 81 (1990) 183-208.
2. J.J. Tsay, J.E.B. Cardoso and J.S. Arora, Nonlinear structural design sensitivity analysis for path-dependent problems. Part 2: Analytical examples, Comput. Methods Appl. Mech. Engrg. 81 (1990) 209-228.
3. Q. Zhang, S. Mukherjee and A. Chandra, Design sensitivity coefficients for elasto-viscoplastic problems by boundary element method. Int. J. Numer. Methods Engrg. 34 (1992) 947-966.
4. C.A. Vidal and R.B. Haber, Design sensitivity analysis for rate-independent elasto-plasticity, Comput. Methods Appl. Mech. Engrg. 107 (1993) 393-431.
5. M. Kleiber, Shape and non-shape sensitivity analysis for problems with any material and kinematic nonlinearity, Comput. Methods Appl. Mech. Engrg. 108 (1993) 73-97.
6. M. Kleiber, T.D. Hien and E. Postek, Incremental finite element sensitivity analysis for non-linear mechanics applications, Int. J. Numer. Methods Engrg. 37 (1994) 3291-3308.
7. P. Michaleris, D.A. Tortorelli and C.A. Vidal, Tangent operators and design sensitivity formulations for transient nonlinear coupled problems with applications to elastoplasticity, Int. J. Numer. Methods Engrg. 37 (1994) 2471-2499.
8. M. Ohsaki and J.S. Arora, Design sensitivity analysis of elasto-plastic structures, Int. J. Numer. Methods Engrg. 37 (1994) 737-762.
9. T.H. Lee and J.S. Arora, A computational method for design sensitivity analysis of elasto-plastic structures, Comput. Methods Appl. Mech. Engrg. 122 (1995) 27-50.
10. M. Kleiber, T.D. Hien, H. Antünez and P. Kowalczyk, Parameter sensitivity of elasto-plastic response, Engrg. Comput. 12 (1995) 263-280.
11. M. Kleiber and P. Kowalczyk, Constitutive parameter sensitivity in elasto-plasticity, Comput Mech. 17 (1995) 36-48.
12. M. Kleiber and P. Kowalczyk, Sensitivity analysis in plane stress elasto-plasticity and elasto-viscoplasticity, Comput. Methods Appl. Mech. Engrg. 137 (1996) 395-409.
13. P. Kowalczyk and M. Kleiber, Parameter sensitivity for large deformation inelastic problems, Comput. Assist. Mech. Engrg. Sci. 4 (1997) 209-228.
14. T.H. Lee, J.S. Arora and V. Kumar, Shape design sensitivity analysis of viscoplastic structures, Comput. Methods Appl. Mech. Engrg. 108 (1993) 237-259.
15. J.C. Simo and R.L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Comput. Methods Appl. Mech. Engrg. 48 (1985) 101-118.
16. M. Kleiber, H. Antúnez, T.D. Hien and P. Kowalczyk, Parameter Sensitivity in Nonlinear Mechanics (Wiley, Chichester, 1997).
17. J.C. Simo and R.L. Taylor, A return mapping algorithm for plane stress elastoplasticity, Int. J. Numer. Methods Engrg. 22 (1986) 649-670.