An adjoint variable method for design sensitivity analysis of elastoplastic structures |
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Authors: | Tae Hee Lee |
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Affiliation: | (1) School of Mechanical Engineering, College of Engineering, Hanyang University, Sungdong-ku, 133-791 Seoul, Korea |
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Abstract: | Design sensitivity analysis of structural problems obeying an elastoplastic material behavior is developed using adjoint variable
method. An elastoplastic constitutive equation with yield surface and kinematic hardening is considered to describe the material
behavior. The traditional incremental procedure and its design variation need special treatments in order to predict the discontinuity
of the structural response sensitivity because the contribution from the design sensitivity at the material transition point
is lost during the calculation. In this study, discontinuities of the design variations at the material transition points
are alleviated in the adjoint variable method. Analytical and numerical examples are used not only to demonstrate the developed
sensitivity procedure but also to gain insights of numerical implementation for the design sensitivity analysis of the elastoplastic
structure based on the adjoint variable method. The comparisons between adjoint variable and direct variation methods are
also discussed. |
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Keywords: | Design Sensitivity Analysis Adjoint Variable Method Elastoplasticity Truss Structure Finite Element Method Structural Optimization |
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