Shape optimization of materially non-linear bodies in contact |
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| Authors: | J. Haslinger R. A. E. Mäkinen |
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| Affiliation: | (1) Department of Metal Physics, Charles University, 120 00 Prague, Czech Republic;(2) Department of Mathematics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland |
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| Abstract: | Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke's law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included. |
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| Keywords: | shape optimization sensitivity analysis |
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