This work deals with the optimal design of nonlinear structures where both geometric and path-dependent material nonlinearities are considered. Postcritical behavior is allowed. Critical and postcritical constraints are considered. Local and global stability have been introduced also as constraints. The classical critical load constraint is given with numerical advantage by a new method using displacement constraint. The Total Lagrangean description and a continuum variational formulation are used for the response and design sensitivity analysis. A continuation algorithm is used to implement the postcritical path. Optimal design is performed with respect to cross-section dimensions and configuration.
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