Structural optimization of finite deformation elastoplasticity using continuum-based shape design sensitivity formulation

Computers and Structures

Volumn 79, Issue 20-21, 2001, Pages 1959-1976

  Kim, Nam Ho ^a   Choi, Kyung Kook ^a   Chen, Jiun Shyan ^a  

^a University of Iowa   (United States)

Author keywords

Design optimization; Design sensitivity analysis; Elastoplasticity; Finite deformation problem; Material derivative

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; DIFFERENTIATION (CALCULUS); DYNAMIC RESPONSE; ELASTOPLASTICITY; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; STRUCTURAL DESIGN;

RESPONSE ANALYSIS;

STRUCTURAL OPTIMIZATION;

EID: 0035416209     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(01)00122-5     Document Type: Article

References (41)

1. Design sensitivity analysis for rate-independent elastoplasticity
2. Design sensitivity analysis of elastoplastic structures
3. Tangent operators and design sensitivity formulations for transient nonlinear coupled problems with applications to elastoplasticity
4. A computational method for design sensitivity analysis of elastoplastic structures
5. Constitutive parameter sensitivity in elastoplasticity
6. Design sensitivity analysis of truss structures with elastoplastic material
7. Optimization of elastoplastic structures using the finite element method
8. Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
9. Shape design sensitivity analysis for geometrically and materially nonlinear problems by the boundary element method
10. Shape and non-shape structural sensitivity analysis for problems with any material and kinematic nonlinearity
11. Design sensitivity analysis and optimization of nonlinear transient dynamics. Part II: Configuration design
12. Shape sensitivity analysis for steady metal-forming processes
13. Preform die shape design in metal forming using an optimization method
14. Design and analysis of large deformation continuous elastoplastic manufacturing processes via a steady displacement-based formulation
15. Elastic-plastic deformation at finite strains
16. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
17. Formulation of implicit finite element methods for multiplicative finite deformation plasticity
18. A hyperelastic-based large strain elastoplastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
19. Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids
20. Associative multiplicative elastoplasticity: Formulation and aspects of the numerical implementation including stability analysis
21. A sensitivity analysis for the optimal design of metal-forming processes
22. Remarks on variational design sensitivity analysis of structures with large elastoplastic deformations
23. Element free Galerkin method
24. An h-p adaptive method using clouds
25. The partition of unity finite element method: Basic theory and applications
26. Reproducing kernel particle methods
27. Reproducing kernel particle methods for large deformation analysis of nonlinear structures
28. A Lagrangian reproducing kernel particle method for metal forming analysis
29. Quasi-compressible finite elasticity in principal stretches: Continuum basis and numerical algorithms
30. Design sensitivity analysis of nonlinear structural systems. Part I: Theory
31. Shape design sensitivity analysis of nonlinear structural systems
32. On the computational significance of the intermediate configuration and hyperelastic stress relations in finite deformation elastoplasticity
33. Stabilized conforming nodal integration for Galerkin meshfree methods
34. New boundary condition treatments for meshless computation of contact problems
35. Meshless shape design sensitivity analysis and optimization for contact problem with friction
36. A study on the velocity computation for shape design optimization