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IssuesArchive of Issues2009-6pp.710-721

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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K.M. Zingerman and V.A. Levin, "Redistribution of finite elastic strains after the formation of inclusions. Approximate analytical solution," J. Appl. Math. Mech. 73 (6), 710-721 (2009)
Year 2009 Volume 73 Issue 6 Pages 710-721
Title Redistribution of finite elastic strains after the formation of inclusions. Approximate analytical solution
Author(s) K.M. Zingerman (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, zingerman@rambler.ru)
V.A. Levin (Moscow, Russia, v.a.levin@mail.ru)
Abstract A class of two-dimensional static problems of the stress-strain state of non-linearly elastic bodies, in which domains with different elastic properties (inclusions) arise after preloading, is considered. Problems are formulated and solved using the theory of the repeated superposition of finite strains. The mechanical properties of the initial material and the material of the inclusions are described by Murnaghan-type or Mooney-type constitutive relations. Two ways of specifying the constitutive relations for the material of an inclusion are considered: when there are inherent strains in this material and when there are not. Approximate analytical methods are used for the solution.
Received 6 May 2008
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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