On a Method of Temperature Stresses Computation in a Functionally Graded Elastoplastic Material

— 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 whi...

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Bibliographic Details
Published in:Mechanics of solids 2020-11, Vol.55 (6), p.800-807
Main Authors: Akinlabi, E. T., Dats, E. P., Mahamood, R. M., Murashkin, E. V., Shatalov, M. Y.
Format: Article
Language:English
Subjects:
Boundary value problems
Classical Mechanics
Constants
Deformation
Elastoplasticity
Exact solutions
Functionally gradient materials
Linear functions
Physics
Physics and Astronomy
Thermal expansion
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Summary:— 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.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654420060023