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Numerical study of two-dimensional problems of nonsymmetric elasticity
Authors:V V Korepanov  V P Matveenko  I N Shardakov
Institution:(1) Institute of Continuous Media Mechanics, Ural Branch of Russian Academy of Sciences, Ul. Akad. Koroleva 1, Perm, 614013, Russia
Abstract:We consider the algorithm of the finite element method for solving two-dimensional problems of nonsymmetric elasticity. We discuss the possibilities of the algorithm and its efficiency by comparing the numerical results with the well-known analytic solutions. We present the results obtained by solving the problem of tension of a plate weakened by a series of holes and the problem of tension for a plate with a central crack. The numerical results thus obtained are considered as an addition to the analytic solutions in the context of experimental justification of couple-stress effects arising under deformation of elastic materials and in the context of solving the identification problem for mechanical constants in nonsymmetric elasticity.
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