Abstract
Nonmonotone possibly multivalued stress-strain or reaction-displacement laws give rise to hemivariational inequalities. due to the lack of convexity and the nonsmoothness of the underlying (super) potentials the problems have generally nonunique solutions (stable or unstable). Here we propose a method for the decomposition of the hemivaritional inequality into a finite number of variational inequalities (monotone problems). The method is based on the decomposition of the contingent cone of the superpotential into convex constituents and gives rise to a very effective and reliable numerical algorithm for large scale hemivariational inequalities. Numerical results from the delamination of composites and discussion of the numerical aspects illustrate the theory.
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