Abstract
In this paper a method is presented, which provides a reliable tool for the solution of unilateral problems arising in structural mechanics. The method is based on some theorems of quadratic programing and combines the advantages of the optimization algorithms (systematic choice of the iteration steps and convergence) with the advantages of “trial and error” methods (use of general purpose programs which treat effectively large problems). The method is extended to cover also problems described by positive-semidefinite matrices. Test cases of frames, plates and shells demonstrate the applicability and the convergence of the method.
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