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The incremental variational principles for frictional contact problems of linear elasticity. (English) Zbl 0802.73071

Summary: Four types of the most frequently used variational functionals are employed in order to form the inequality principles of the kineto-static contact problem of two elastic bodies in the common relative motion. As the general case, the principle based on the Hu-Washizu functional is proposed. The principles formed with the Reissner type, potential energy, and complementary energy functionals are derived as the special cases.

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
74B05 Classical linear elasticity
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