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Some fundamental problems of the theory of thermoviscoelasticity

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Abstract

Methods of solving quasistatic problems of the linear theory of thermoviscoelasticity are discussed. Special attention is given to the method of approximations. Modern methods of solving contact problems with a variable boundary and problems with a time-dependent boundary are briefly reviewed. Methods of solving problems with a nonuniform temperature field are outlined. The basic relations of the nonlinear theory of thermoviscoelasticity are given. Its various modifications and simplifications associated with the introduction of fairly general assumptions are examined. Methods of solving problems in certain nonlinear theories are noted. Nonisothermal (coupled) problems of thermoviscoelasticity and questions relating to the general theory with physical and geometric nonlinearity are discussed.

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Authors
  1. D. L. Bykov
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  2. A. A. Il'yushin
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  3. P. M. Ogibalov
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  4. B. E. Pobedrya
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Additional information

Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 1, pp. 41–58, January–February, 1971.

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Bykov, D.L., Il'yushin, A.A., Ogibalov, P.M. et al. Some fundamental problems of the theory of thermoviscoelasticity. Polymer Mechanics 7, 36–49 (1971). https://doi.org/10.1007/BF00856613

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  • DOI: https://doi.org/10.1007/BF00856613

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