Abstract
Problems for two classes of nonlinear hereditary media are reduced by integral transforms to problems of the nonlinear theory of elasticity. An approximation of the elastic solution that makes it possible to solve the formulated problems for nonlinear hereditary materials is demonstrated in the case when the viscoelastic problems reduce to problems of the theory of small elastoplastic strains with active loading.
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Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 1, pp. 66–73, January–February, 1971.
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Kolokol'chikov, V.V. Correspondence principle and the method of approximations for certain nonlinear hereditary media. Polymer Mechanics 7, 56–62 (1971). https://doi.org/10.1007/BF00856615
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DOI: https://doi.org/10.1007/BF00856615