Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2020-6pp.800-807

Archive of Issues

Total articles in the database: 4918
In Russian (. . ): 2350
In English (Mech. Solids): 2568

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Akinlabi E.T., Dats E.P., Mahamood R.M., Murashkin E.V., and Shatalov M.Y., "On a Method of Temperature Stresses Computation in a Functionally Graded Elastoplastic Material," Mech. Solids. 55 (6), 800-807 (2020)
Year 2020 Volume 55 Number 6 Pages 800-807
DOI 10.3103/S0025654420060023
Title On a Method of Temperature Stresses Computation in a Functionally Graded Elastoplastic Material
Author(s) Akinlabi E.T. (Pan African University for Life and Earth Sciences Institute (PAULESI), Ibadan, Nigeria)
Dats E.P. (Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia; Vladivostok State University of Economics and Service, Vladivostok, 690014 Russia)
Mahamood R.M. (University of Johannesburg, Johannesburg, Gauteng, Republic of South Africa)
Murashkin E.V. (Ishlinky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Shatalov M.Y. (Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Nelson Mandela Avenue, Pretoria, Republic of South Africa)
Abstract The paper considers a sequence of solutions to the one-dimensional problem of irreversible deformation of a functionally graded material under conditions of uneven thermal expansion. Numerical solutions are obtained for the problems of heating an elastoplastic sphere, the material constants of which are linear functions of the radius, and exact solutions, in which the material constants are approximated by piecewise constant functions. It is shown that the deformation of a functionally graded elastoplastic material, in which the material constants are specified by piecewise-constant distributions, can be qualitatively described by numerical solutions, in which the material constants are continuous approximations of the corresponding piecewise-constant functions. The obtained numerical and analytical solutions of boundary value problems are graphically analyzed.
Keywords plasticity, thermoelasticity, residual stress, temperature stress, deformation
Received 12 February 2020Revised 28 February 2020Accepted 28 February 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420060023
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