Abstract
The equations of state of viscoelastic isotropic media are investigated in the form of a sum of integrals of increasing multiplicity. An expression is given for the second- and third-order kernels for an isotropic medium in terms of the metric tensor. The corresponding resolvents are found from the given first- and second-order kernels, and a method of obtaining the third-order resolvents is described. By means of the isotropy postulate of Il'yushin, the equations of state are simplified, and it is shown that they cannot contain scalar powers of tensors higher than the second. The form of these equations is written out.
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Mekhanika Polimerov, Vol. 3, No. 4, pp. 645–651, 1967
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Pobedrya, B.E. Equations of state of viscoelastic isotropic media. Polymer Mechanics 3, 429–432 (1967). https://doi.org/10.1007/BF01150958
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DOI: https://doi.org/10.1007/BF01150958