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A quasistatic frictional problem with normal compliance. (English) Zbl 0722.73061
The paper is devoted to the quasistatic loading problem of a linear- elastic body being in frictional contact with a rigid support, adopting the “normal compliance model” in the form of a power law. Author proves an existence theorem by selecting a sequence of incremental solutions and showing that his one converges towards a solution of the full quasistatic problem. The investigation is based on the variational inequality describing the problem under discussion, and on concepts of nonlinar functional analysis. The question of uniqueness of the solution is still open.

MSC:
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
49J40 Variational inequalities
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
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