Existence results for quasistatic contact problems with Coulomb friction. (English) Zbl 0972.35058

Andersson, L.-E.

Appl. Math. Optimization 42, No. 2, 169-202 (2000).

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.

Reviewer: Qamrul Hasan Ansari (Aligarh)

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

Keywords:

Signorini non-penetration condition; penalization