J. Haslinger, Department of Metal Physics, Charles University, 120 00 Prague, Czech Republic; R.A.E. Makinen, Department of Mathematics, University of Jyvaskyla, P.O. Box 35, FIN-40351 Jyvaskyla, Finland
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.
Keywords: shape optimization, sensitivity analysis
Classification (MSC 1991): 49K20, 49J20, 73K40
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