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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-3pp.306-311

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V.A. Levin, "The construction of a model of the growth of a defect for finite strains: Non-local criteria," J. Appl. Math. Mech. 72 (3), 306-311 (2008)
Year 2008 Volume 72 Issue 3 Pages 306-311
Title The construction of a model of the growth of a defect for finite strains: Non-local criteria
Author(s) V.A. Levin (Moscow, Russia, v.a.levin@mail.ru)
Abstract A version of a model of the growth of a defect (an inclusion or cracks of non-zero opening) is presented. When constructing the model, the axiomatic of the mechanics of a deformable solid is used, as well as the idea of a zone of pre-existing imperfection as part of the body, in which, due to the action of external loads, applied to the body, a change in the properties of the material occurs. The apparatus of the theory of multiple superposition of large deformations and certain strength criteria are used.
Received 10 April 2006
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