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Method of nonlinear boundary equations in problems of contact of several elastic bodies

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Abstract

The method of nonlinear boundary equations is applied to develop new formulations of contact problems with unknown contact regions. Our formulation is free from inequality constraints, which enter the method of variational inequalities and the standard formulations of contact problems. Methods of the theory of operator equations are applied to prove that the problems are well-posed.

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Literature cited

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 62–70, 1987.

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Galanov, B.A. Method of nonlinear boundary equations in problems of contact of several elastic bodies. J Math Sci 63, 455–461 (1993). https://doi.org/10.1007/BF01849530

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  • DOI: https://doi.org/10.1007/BF01849530

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