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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 156–166
(Mi pmtf1355)
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This article is cited in 1 scientific paper (total in 1 paper)
Description of finite deformation of solids in a reference configuration
M. Yu. Sokolova, D. V. Khristich Tula State University, Tula, 300600, Russia
Abstract:
Variational principles of equilibrium processes of deformation and heat conduction are formulated. The variational relations are written for the initial configuration of solids and can be used without restrictions on the strain. A system of equations for a coupled boundary-value problem for isotropic and anisotropic solids is presented, and initial and boundary conditions are formulated. Results of solving problems of finite deformation of initially cylindrical solids are given.
Keywords:
thermomechanics, reversible deformation, finite deformation, variational principles, coupled boundary-value problems.
Received: 16.04.2010 Accepted: 18.05.2011
Citation:
M. Yu. Sokolova, D. V. Khristich, “Description of finite deformation of solids in a reference configuration”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 156–166; J. Appl. Mech. Tech. Phys., 53:2 (2012), 283–291
Linking options:
https://www.mathnet.ru/eng/pmtf1355 https://www.mathnet.ru/eng/pmtf/v53/i2/p156
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Abstract page: | 41 | Full-text PDF : | 11 |
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