Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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R.A. Vasin and P.A. Mossakovskii, "A version of the relations for the damage tensor of an elastoplastic medium," J. Appl. Math. Mech. 75 (1), 5-9 (2011)
Year 2011 Volume 75 Issue 1 Pages 5-9
Title A version of the relations for the damage tensor of an elastoplastic medium
Author(s) R.A. Vasin (Moscow, Russia, prof.vasin@mail.ru)
P.A. Mossakovskii (Moscow, Russia)
Abstract An approach to the description of damage accumulation in the deformation of an elastoplasticmaterial, based on Il’yushin's ideas in the theory of elastoplastic processes, is proposed. A version of the relations for the damage tensor is formulated, from which the well-known Kolmogorov model follows as a special case. As an example, a class of deformation processes is considered for which the trajectories of the deformations are broken lines with extended links.
Received 22 September 2010
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