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Use of a one-parameter family of Gordon–Schowalter objective derivatives to describe finite strains of viscoelastic bodies

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Abstract

A constitutive relation is considered for viscoelastic materials at finite strains. This relation is obtained using a one-parameter family of Gordon–Schowalter objective derivatives and generalizes the elementary Maxwell model. It is shown that, in the problem of simple shear of an incompressible viscoelastic material, this constitutive relation allows one to obtain the Poynting effect for any parameters of the model.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia

    E. D. Martynova & N. S. Stetsenko

Authors
  1. E. D. Martynova
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  2. N. S. Stetsenko
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Corresponding author

Correspondence to E. D. Martynova.

Additional information

Original Russian Text © E.D. Martynova, N.S. Stetsenko, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 6, pp. 64–68.

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Martynova, E.D., Stetsenko, N.S. Use of a one-parameter family of Gordon–Schowalter objective derivatives to describe finite strains of viscoelastic bodies. Moscow Univ. Mech. Bull. 72, 153–156 (2017). https://doi.org/10.3103/S002713301706005X

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  • DOI: https://doi.org/10.3103/S002713301706005X

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