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Iterative Algorithms for the Solution of Quasistatic Unilateral Problems of Thermal Friction

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Abstract

We present the differential and variational statements of unilateral quasistatic problems of thermal friction for anisotropic thermoelastic bodies within the framework of the generalized model of linear dissipative mechanism of sliding in the case of imperfect thermal contact in the region of actual interaction. It is shown that these statements are equivalent for sufficiently smooth solutions. We also construct an alternative iterative algorithm for the solution of the problem, obtain estimates of the rate of its convergence similar to those established earlier for the constructive algorithm, and determine sufficient conditions for the convergence of both these algorithms in the corresponding norms to the solution of the analyzed problem (in particular, to the unique solution).

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  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    I. S. Skorodyns'kyi

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  1. I. S. Skorodyns'kyi
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Skorodyns'kyi, I.S. Iterative Algorithms for the Solution of Quasistatic Unilateral Problems of Thermal Friction. Materials Science 36, 870–877 (2000). https://doi.org/10.1023/A:1011338822063

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  • DOI: https://doi.org/10.1023/A:1011338822063

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