Structural optimization in nonlinear mechanics

In the present study geometrically and materially nonlinear response is con sidered in topology and shape optimization in order to introduce more reali sm into the structural design. Typical objectives are to minimize the weigh t or to maximize the structural ductility or the critical load factor of a construction. The crucial point of the optimization procedure is the sensit ivity analysis. In case of path-dependent problems, such as elastoplasticit y the sensitivities are also path-dependent and have to be determined after each incremental step. With respect to the specific features of either top ology or shape optimization different methods of sensitivity analysis are a pplied. The entire optimization procedure is verified by several design pro blems.