Journal article
Optimization of a hyper-elastic structure with multibody contact using continuum-based shape design sensitivity analysis
Structural and multidisciplinary optimization, Vol.21(3), pp.196-208
2001
DOI: 10.1007/s001580050184
Abstract
In this paper, a continuum-based shape design sensitivity formulation is presented for a hyper-elastic structure with multibody frictional contact. A nearly incompressible constraint is treated using the pressure projection method that projects a hydrostatic pressure into a lower order space to avoid a volumetric locking. The variational formulation for multibody frictional contact is developed using a penalty method that regularizes the solution of the variational inequality. The material derivative of continuum mechanics is utilized to develop the continuum-based shape design sensitivity analysis for the hyper-elastic constitutive relation and penalized contact formulation. The sensitivity equation is solved at each converged load step using the same tangent stiffness of response analysis due to the path dependency of the sensitivity of the frictional contact problem. A very accurate and efficient sensitivity results are shown through shape optimization of a windshield wiper.
Details
- Title: Subtitle
- Optimization of a hyper-elastic structure with multibody contact using continuum-based shape design sensitivity analysis
- Creators
- N. H KIM - Center for Computer-Aided Design and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United StatesY. H PARK - Center for Computer-Aided Design and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United StatesK. K CHOI - Center for Computer-Aided Design and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- Structural and multidisciplinary optimization, Vol.21(3), pp.196-208
- Publisher
- Springer; Berlin
- DOI
- 10.1007/s001580050184
- ISSN
- 1615-147X
- eISSN
- 1615-1488
- Language
- English
- Date published
- 2001
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064112402771
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