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Asymptotic methods in the nonlinear theory of viscoelasticity

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Abstract

Dynamic and quasistatic problems of the nonlinear theory of viscoelasticity are described by nonlinear integrodifferential and integral equations. Methods of averaging various classes of nonlinear integrodifferential and integral equations are described and asymptotic expansions of the solutions of these equations are given.

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  1. A. N. Filatov
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Institute of Cybernetics and Computer Center, Academy of Sciences of the Uzbek SSR, Tashkent. Translated from Mekhanika Polimerov, No. 2, pp. 221–229, March–April, 1974.

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Filatov, A.N. Asymptotic methods in the nonlinear theory of viscoelasticity. Polymer Mechanics 10, 191–197 (1974). https://doi.org/10.1007/BF00860812

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  • DOI: https://doi.org/10.1007/BF00860812

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