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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.

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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