Abstract
We give a variational formulation and a scheme for numerical solution of boundary-value problems for piecewise-uniform nonlinear media taking account of frictional forces. We solve the problem of determining the stressed state of a thick three-layer cylinder of elastoplastic material with linear reinforcing under the action of internal pressure and an axially symmetric temperature field.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 64–67.
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Chernetskii, S.A., Shvaiko, N.Y. Variational principles and mathematical methods of solving boundary-value problems for piecewise uniform nonlinear media. J Math Sci 62, 2557–2560 (1992). https://doi.org/10.1007/BF01099148
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DOI: https://doi.org/10.1007/BF01099148