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Estimation of the error of approximation of the analytic solution of problems for nonlinear viscoelastic materials

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Abstract

Estimates are given for the error of approximation of the solution of problems of nonlinear viscoelastic media, for which the nonlinear elastic solution depends analytically on the material characteristics, the body and surface forces, and on the boundary displacements. From the integral estimates particular estimates are derived for viscoelastic materials in cases when the nonlinear elastic solution is majorized by a geometric progression or the sum of products of geometric progressions.

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Literature cited

  1. V. V. Kolokol'chikov, Mekhan. Polim., No. 1, 66 (1971).

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Moscow Institute of Electronic Engineering. Translated from Mekhanika Polimerov, No. 5, pp. 827–834, September–October, 1971.

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Kolokol'chikov, V.V. Estimation of the error of approximation of the analytic solution of problems for nonlinear viscoelastic materials. Polymer Mechanics 7, 740–746 (1971). https://doi.org/10.1007/BF00857496

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  • DOI: https://doi.org/10.1007/BF00857496

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