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On friction problems with normal compliance. (English) Zbl 0707.73068
A normal compliance condition and a modified form of Coulomb’s law are utilized to analyze the friction problem of linear elastic bodies. The problem can be expressed as a variational inequality for which a solution does exist. Utilizing the convergence of a linearized iterative scheme, the local uniqueness of a solution for sufficiently small coefficients, is proved. A two-step iterative scheme is considered and its convergence is proved. A dual formulation for the problem is presented. The usefulness of this formulation in numerical calculations is indicated. Some examples are given.
Reviewer: V.K.Arya

MSC:
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
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