Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction

By Stanislaw Migórski. 2005

97 citations recorded by the source corpus.

In this article we examine an evolution problem, which describes the dynamic contact of a viscoelastic body and a foundation. The contact is modeled by a general normal damped response condition and a friction law, which are nonmonotone, possibly multivalued and have the subdifferential form. First we derive a formulation of the model in the form of a multidimensional hemivariational inequality. Then we establish a priori estimates and we prove the existence of weak solutions by using a surjectivity result for pseudomonotone operators. Finally, we deliver conditions under which the solution of the hemivariational inequality is unique.

Subfields: Automotive Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b47da080f1b55c2fb5dae6a87306c9be68f9dfc6

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In Automotive Engineering

1. Anna Ochal
2. Stanislaw Migórski

In Computational Theory and Mathematics

1. Anna Ochal
2. Stanislaw Migórski
3. Mircea-Traian Sofonea

In Mechanics of Materials

1. Anna Ochal
2. Stanislaw Migórski
3. Mircea-Traian Sofonea

Citations in the corpus

• A Unified Approach to Dynamic Contact Problems in Viscoelasticity (2006, methodology): “We refer to Migo ´rski [ 24 ], where a viscoelastic contact problem was studied under the additional hypothesis of the sign condition on the nonconvex boundary superpotential.”