Design sensitivity analysis in large deformation elasto-plastic and elasto-viscoplastic problems

International Journal for Numerical Methods in Engineering

Volumn 66, Issue 8, 2006, Pages 1234-1270

  Kowalczyk, Piotr ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

Design sensitivity analysis; Finite element method; Large deformations; Plasticity; Viscoplasticity

Indexed keywords

ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; ROTATION; SENSITIVITY ANALYSIS; STIFFNESS; VISCOPLASTICITY;

DESIGN SENSITIVITY ANALYSIS; NON-ALGORITHMIC COEFFICIENT MATRIX; SENSITIVITY DISCONTINUITIES; TIME INTEGRATION ALGORITHM;

STRUCTURAL ANALYSIS;

ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; ROTATION; SENSITIVITY ANALYSIS; STIFFNESS; STRUCTURAL ANALYSIS; VISCOPLASTICITY;

EID: 33646768190     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1592     Document Type: Article

References (21)

1. Lee EH. Elastic-plastic deformations at finite strains. Journal of Applied Mechanics 1969; 36:1-6.
2. Cho S, Choi KK. Design sensitivity analysis and optimization of non-linear transient dynamics. Part I. Sizing design. International Journal for Numerical Methods in Engineering 2000; 48:351-373.
3. Kim NH, Choi KK, Chen JS. Structural optimization of finite deformation elastoplasticity using continuum-based shape design sensitivity formulation. Computers and Structures 2001; 79:1959-1976.
4. Lush AM, Weber G, Anand L. An implicit time-integration procedure for a set of internal variable constitutive equations for isotropic elasto-viscoplasticity. International Journal of Plasticity 1989; 5:521-549.
5. Nemat-Nasser S. On finite strain elasto-plasticity. International Journal of Solids and Structures 1982; 18:857-872.
6. Perić D, Owen DRJ. Computational model for large elastic-plastic deformations at moderate elastic strains. In Nonlinear Computational Mechanics, State of the Art, Wriggers P, Wagner G (eds). Springer: Berlin, 1991; 449-472.
7. Simo JC. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. Part I. Continuum formulation. International Journal for Numerical Methods in Engineering 1988; 66:199-219.
8. Simo JC. Numerical analysis and simulation of plasticity. In Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds), vol. VI. Elsevier Science B.V.: Amsterdam, 1998; 183-499.
9. Simo JC, Hughes TJR. Computational Inelasticity. Springer: Berlin, 1998.
10. Weber G, Anand L. Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering 1990; 79:173-202.
11. Mills-Curran WC. Calculation of eigenvector derivatives for structures with repeated eigenvalues. AIAA Journal 1988; 26:867-871.
12. Hoger A. The material time derivative of logarithmic strain. International Journal of Solids and Structures 1986; 22:1019-1032.
13. Kleiber M, Hien TD, Antúnez H, Kowalczyk P. Parameter Sensitivity in Nonlinear Mechanics. Wiley: New York, 1997.
14. Leu L-J, Mukherjee S. Sensitivity analysis of hyperelastic-viscoplastic solids undergoing large deformations. Computational Mechanics 1994; 15:101-116.
15. Simo JC. A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. Part II. Computational aspects. International Journal for Numerical Methods in Engineering 1988; 68:1-31.
16. Perzyna P. The constitutive equation for rate-sensitive plastic materials. Quarterly of Applied Mathematics 1963; 20:321-332.
17. Pierce D, Shih CF, Needleman A. A tangent modulus method for rate-dependent solids. Computers and Structures 1984; 18:875-887.
18. Kleiber M, Kowalczyk P. Constitutive parameter sensitivity in elasto-plasticity. Computational Mechanics 1995; 17:36-48.
19. Wisniewski K, Kowalczyk P, Turska E. On the computation of design derivatives for Huber-Mises plasticity with non-linear hardening. International Journal for Numerical Methods in Engineering 2003; 57:271-300.
20. Kowalczyk P, Kleiber M. Shape sensitivity in elasto-plastic computations. Computer Methods in Applied Mechanics and Engineering 1999; 171:371-386.
21. Hughes TJR. Generalization of selective integration procedures to anisotropic and non-linear media. International Journal for Numerical Methods in Engineering 1980; 15:1413-1418.