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

Park, Y. H.; Choi, Kyung K.

doi:10.1007/bf01223305

Cited by 4 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Shape optimization problems including elastoplastic material behavior and small displacements are investigated in Vidal and Haber (1993), Wiechmann et al, (1997), Park and Choi (1999), Schwarz et al (1999Schwarz et al ( , 2000 and Schwarz (2000). The necessary modifications of the sensitivity analysis for plane stress conditions is reported in Kleiber and Kowalczyk (1996).…”

Section: Introductionmentioning

confidence: 99%

Sensitivity analysis and optimization for non‐linear structural response

Schwarz

Ramm²

2001

Engineering Computations

View full text Add to dashboard Cite

The present contribution deals with the sensitivity analysis and optimization of structures for path-dependent structural response. Geometrically as well as materially non-linear behavior with hardening and softening is taken into account. Prandtl-Reuss-plasticity is adopted so that not only the state variables but also their sensitivities are path-dependent. Because of this the variational direct approach is preferred for the sensitivity analysis. For accuracy reasons the sensitivity analysis has to be consistent with the analysis method evaluating the structural response. The proposed sensitivity analysis as well as its application in structural optimization is demonstrated by several examples.

show abstract

Section: Introductionmentioning

confidence: 99%

Sensitivity analysis and optimization for non‐linear structural response

Schwarz

Ramm²

2001

Engineering Computations

View full text Add to dashboard Cite

show abstract

Load step reduction for adjoint sensitivity analysis of finite strain elastoplasticity

Wang

Clausen

Bletzinger

2021

Struct Multidisc Optim

View full text Add to dashboard Cite

In this paper, load step reduction techniques are investigated for adjoint sensitivity analysis of path-dependent nonlinear finite element systems. In particular, the focus is on finite strain elastoplasticity with typical hardening models. The aim is to reduce the computational cost in the adjoint sensitivity implementation. The adjoint sensitivity formulation is derived with the multiplicative decomposition of deformation gradient, which is applicable to finite strain elastoplasticity. Two properties of adjoint variables are investigated and theoretically proved under certain prerequisites. Based on these properties, load step reduction rules in the sensitivity analysis are discussed. The efficiency of the load step reduction and the applicability to isotropic hardening and kinematic hardening models are numerically demonstrated. Examples include a small-scale cantilever beam structure and a large-scale conrod structure under huge plastic deformations.

show abstract