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Lee, Tae Hee; Arora, Jasbir S.

A computational method for design sensitivity analysis of elastoplastic structures. (English) Zbl 0853.73045

Comput. Methods Appl. Mech. Eng. 122, No. 1-2, 27-50 (1995).
Design sensitivity analysis of structural systems having elastoplastic material behavior is developed using the continuum formulation, and its implementation into a finite element program is described. The main idea is to develop a computational procedure for design sensitivity analysis based on the response obtained by an incremental load approach for nonlinear response analysis, where the elastoplastic (time-independent) constitutive model is employed to account for the plastic material behavior; i.e. kinematic hardening and isotropic hardening. Discontinuities in the design sensitivity coefficients are investigated and a procedure is proposed to alleviate them. The control/reference domain approach is used to treat shape and non-shape design variables simultaneously. The direct variation method is adopted for this path-dependent problem to obtain the design sensitivity expression for the response variables.

Cited in 13 Documents

MSC:

74P99 Optimization problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type

Keywords:

isoparametric formulation; continuum formulation; incremental load approach; nonlinear response analysis; kinematic hardening; isotropic hardening; control/reference domain approach; direct variation method

Software:

Matlab
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References:

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