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Generalized models of the thermomechanical behavior of viscoelastic materials with allowance for the interaction of mechanical and thermal fields (review)

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Abstract

This article generalizes the results of a study of the structure of the constitutive equations of viscoelastic materials. The thermodynamics of irreversible processes is used to derive the constitutive equations. The concepts of generalized dissipative potential and rheologically simple behavior are used within this framework. Several new general models have already been constructed, and their relationship to well-known theories is established in the article.

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  1. V. G. Karnaukhov
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  2. I. K. Senchenkov
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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 1, pp. 53–77, January, 2000.

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Karnaukhov, V.G., Senchenkov, I.K. Generalized models of the thermomechanical behavior of viscoelastic materials with allowance for the interaction of mechanical and thermal fields (review). Int Appl Mech 36, 40–63 (2000). https://doi.org/10.1007/BF02681959

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