Limit analysis and minimum weight design of stepped spherical shells is studied. The caps have piece wise constant thickness and are subjected to the uniform external pressure. The shells are made of an inelastic material obeying an approximation of the Tresca yield surface. The aim of the paper is to develop a procedure for minimum weight design for given limit load. Necessary optimality conditions are derived with the aid of variational methods of the theory of optimal control. Numerical results are presented for a simply supported spherical cap.
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[v1] 2012-02-02 08:46:28
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