Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 6, Pages 64–68 (Mi vmumm114)  
This article is cited in 4 scientific papers (total in 4 papers)

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

E. D. Martynova, N. S. Stetsenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (335 kB) Citations (4)
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Abstract: A constitutive relation is considered for viscoelastic materials under finite deformations. 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.
Key words: finite deformations of viscoelastic materials, simple shear, one-parameter family of Gordon–Schowalter derivatives, Poynting effect.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00669А
Received: 07.12.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 6, Pages 153–156
DOI: https://doi.org/10.3103/S002713301706005X
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: E. D. Martynova, N. S. Stetsenko, “Use of a one-parameter family of Gordon–Showalter objective derivatives to describe finite deformations of viscoelastic bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 64–68; Moscow University Mechanics Bulletin, 72:6 (2017), 153–156
Citation in format AMSBIB
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\paper Use of a one-parameter family of Gordon--Showalter objective derivatives to describe finite deformations of viscoelastic bodies
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2017
\issue 6
\pages 64--68
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\transl
\jour Moscow University Mechanics Bulletin
\yr 2017
\vol 72
\issue 6
\pages 153--156
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    • This publication is cited in the following 4 articles:
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