We study the stability of elastic systems with one-sided constraints on displacements. We analytically solve the contact problem for rods and propose a new method for solving contact problems with a free boundary. We present numerical results concerning the stability of elastic systems with one-sided constraints on displacements. Bibliography: 10 titles.
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Translated from Problemy Matematicheskogo Analiza 77, December 2014, pp. 163-186.
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Tarasov, V.N. Nonsmooth Boundary Value Problems in Theory of Rods, Plates, and Shells. J Math Sci 205, 308–334 (2015). https://doi.org/10.1007/s10958-015-2250-7
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DOI: https://doi.org/10.1007/s10958-015-2250-7