Shape design sensitivity analysis and optimization of elasto-plasticity with frictional contact

Nam H KIM; Kyung K CHOI; Jiun S CHEN

doi:10.2514/2.1163

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Shape design sensitivity analysis and optimization of elasto-plasticity with frictional contact

Journal article

Peer reviewed

Shape design sensitivity analysis and optimization of elasto-plasticity with frictional contact

Nam H KIM, Kyung K CHOI and Jiun S CHEN

AIAA journal, Vol.38(9), pp.1742-1753

2000

DOI: 10.2514/2.1163

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Abstract

A shape design sensitivity analysis and optimization are proposed for the infinitesimal elasto-plasticity with a frictional contact condition. Rate-independent plasticity is considered with a return mapping algorithm and a von Mises yield criterion. The contact condition is formulated using the penalty method and the modified coulomb friction law. A continuum-based shape design sensitivity formulation is developed for structural and frictional contact variational equations. The direct differentiation method is used to compute the displacement sensitivity, and the sensitivities of various performance measures are computed from the displacement sensitivity. Path dependency of the sensitivity equation due to the constitutive relation and friction is discussed. It is shown that no iteration is required to solve the sensitivity equation. Response analysis and the proposed sensitivity formulation are implemented using the mesh-free method where the mesh distortion problem can be resolved. Numerical examples show accurate results of the proposed method compared to the finite difference method. Difficulties in the sensitivity formulation for the finite deformation problem are discussed.

Solid Mechanics

Physics

Mechanical contact (friction...)

Fundamental areas of phenomenology (including applications)

Structural and continuum mechanics

Viscoelasticity, plasticity, viscoplasticity

Exact sciences and technology

Inelasticity (thermoplasticity, viscoplasticity...)

Tribology and mechanical contacts

Details

Title: Subtitle: Shape design sensitivity analysis and optimization of elasto-plasticity with frictional contact
Creators: Nam H KIM - University of Iowa, Iowa City, Iowa 52242, United States
Kyung K CHOI - University of Iowa, Iowa City, Iowa 52242, United States
Jiun S CHEN - University of Iowa, Iowa City, Iowa 52242, United States
Resource Type: Journal article
Publication Details: AIAA journal, Vol.38(9), pp.1742-1753
Publisher: American Institute of Aeronautics and Astronautics; Reston, VA
DOI: 10.2514/2.1163
ISSN: 0001-1452
eISSN: 1533-385X
Language: English
Date published: 2000
Academic Unit: Mechanical Engineering
Record Identifier: 9984064579702771

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