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Existence results for quasistatic contact problems with Coulomb friction. (English) Zbl 0972.35058
The author considered an elastic fractional, quasistatic, contact problem with a Signorini non-penetration condition as well as local Coulomb’s friction law and proved the existence of its solution. The problem is formulated as a time-dependent variational problem. In fact, the author formulated three auxiliary problems involving regularized friction terms for the variational problem. With the help of these auxiliary problems and so-called normal compliance penalization, the analysis is carried out.

MSC:
35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
74M10 Friction in solid mechanics
74M15 Contact in solid mechanics
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