Geodesic
Shape optimization of materially non-linear bodies in contact
Applications of Mathematics, Tome 42 (1997) no. 3, pp. 171-193.

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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.
DOI : 10.1023/A:1022465504489
Classification : 49J20, 49K20, 49Q10, 73C50, 73T05, 73k40, 74P99
Keywords: shape optimization; sensitivity analysis; stress-strain relations; contact 
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Haslinger, J.; Mäkinen, R. A. E. Shape optimization of materially non-linear bodies in contact. Applications of Mathematics, Tome 42 (1997) no. 3, pp. 171-193. doi : 10.1023/A:1022465504489. http://geodesic.mathdoc.fr/articles/10.1023/A:1022465504489/

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