A Unified Approach to Dynamic Contact Problems in Viscoelasticity
By Stanislaw Migórski, Anna Ochal. 2006
88 citations recorded by the source corpus.
In this paper we consider mathematical models describing dynamic viscoelastic contact problems with the Kelvin–Voigt constitutive law and subdifferential boundary conditions. We treat evolution hemivariational inequalities which are weak formulations of contact problems. We establish the existence of solutions to hemivariational inequalities with different types of non-monotone multivalued boundary relations. These results are consequences of an existence theorem for second order evolution inclusions. In a particular case we deliver sufficient conditions under which the solution to a hemivariational inequality is unique. Finally, applications to several unilateral and bilateral problems in contact mechanics are provided.
Subfields: Biomedical Engineering, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c1d48e746b9e178b86f2a08acb72a0b5ac97547d
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In Biomedical Engineering
In Computational Theory and Mathematics
In Mechanics of Materials
Citations in the corpus
- A class of fractional differential hemivariational inequalities with application to contact problem (2018, background): “The mathematical results on hemivariational inequalities have found numerous applications to mechanics, physics and engineering, see [4,14,33,35,37,46,49,50] and the references therein.”