Abstract
Structures involving zig-zag type reaction, displacement or stress-strain laws, i.e. nonmonotone possibly multivalued laws, cannot be effectively treated by the classical numerical methods for nonlinear laws. In order to calculate the arising free boundaries accurately, we propose a new approximation method of the nonmonotone problem by monotone ones. The proposed method finds its justification in the approximation of a hemivariational inequality by a sequence of variational inequalities. Also the case of combining this procedure with fixed point algorithms to treat more complicated problems is considered. The numerical methods proposed are illustrated mainly by numerical examples which are described in detail.
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