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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 295, Pages 229–240
DOI: https://doi.org/10.1134/S0371968516040142 (Mi tm3763) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Homogenization of the equations of state for a heterogeneous layered medium consisting of two creep materials

A. S. Shamaev, V. V. Shumilova

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (184 kB) Citations (17)
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DOI: https://doi.org/10.1134/S0371968516040142
Abstract: A mathematical model that describes the joint motion of periodically alternating layers of two isotropic creep materials is considered. It is assumed that all layers are parallel to one of the coordinate planes and the thickness of any two adjacent layers is $\varepsilon$. For this model, the corresponding homogenized model for $\varepsilon\to0$ is constructed, which describes the behavior of a homogeneous creep material.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: June 22, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 295, Pages 213–224
DOI: https://doi.org/10.1134/S0081543816080149
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. S. Shamaev, V. V. Shumilova, “Homogenization of the equations of state for a heterogeneous layered medium consisting of two creep materials”, Modern problems of mechanics, Collected papers, Trudy Mat. Inst. Steklova, 295, MAIK Nauka/Interperiodica, Moscow, 2016, 229–240; Proc. Steklov Inst. Math., 295 (2016), 213–224
Citation in format AMSBIB
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\pages 229--240
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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