Abstract
This article deals with approximations of differential inclusions of elliptic type. We start with problems which involve only monotone mappings, i.e. with classical variational inequalities of the first and the second kind. Next we show how to approximate a class of inclusion problems called hemivariational inequalities with nonmonotone multivalued mappings. These results are then used for the approximation and the numerical realization of contact problems with different models of friction.
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Haslinger, J. (2006). Approximation of variational and hemivariational inequalities of elliptic type. Applications to contact problems with friction. In: Haslinger, J., Stavroulakis, G.E. (eds) Nonsmooth Mechanics of Solids. CISM International Centre for Mechanical Sciences, vol 485. Springer, Vienna. https://doi.org/10.1007/978-3-211-48243-8_3
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DOI: https://doi.org/10.1007/978-3-211-48243-8_3
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