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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 4(70), Pages 171–177
(Mi vsgu248)
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Mechanics
To the theory of nonlinear hardening of elastic medium with unstable phase structure
A. L. Saraev Dept. of Mathematics, Computer Science and Mathematical Methods in Economy, Samara State University, Samara, 443011, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In the published work mathematical models of phase changes in elastic medium with unstable phase structure are presented. Mechanical behavior of material, in which new phase forms separate inclusions, and material, where new and old phases form interpenetrating skeletons is researched. Statistical averaging of nonlinear systems of equilibrium equations of microinhomogenities with unstable components allows to establish macroscopically determining equations of their deformation and calculate their effective characteristics.
Keywords:
determining equations, phase changes, effective characteristics, microinhomogenities, statistical averaging.
Received: 09.02.2009 Revised: 09.02.2009
Citation:
A. L. Saraev, “To the theory of nonlinear hardening of elastic medium with unstable phase structure”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 4(70), 171–177
Linking options:
https://www.mathnet.ru/eng/vsgu248 https://www.mathnet.ru/eng/vsgu/y2009/i4/p171
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