Effect of Heat on Deformations in Material with a Defect

A system of thermoelasticity equations is considered. Boundary transmission conditions are specified by the differences in temperature, heat fluxes, deformations, and their first derivatives on the boundary. The stationary case is studied. The boundary (crack) is represented by the interval of the a...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2019-09, Vol.59 (9), p.1470-1474
Main Authors: Astakhova, E. V., Glushko, A. V., Loginova, E. A.
Format: Article
Language:English
Subjects:
Asymptotic properties
Computational Mathematics and Numerical Analysis
Deformation effects
Derivatives
Heat flux
Mathematics
Mathematics and Statistics
Temperature
Thermoelasticity
Well posed problems
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Summary:A system of thermoelasticity equations is considered. Boundary transmission conditions are specified by the differences in temperature, heat fluxes, deformations, and their first derivatives on the boundary. The stationary case is studied. The boundary (crack) is represented by the interval of the axis. The given problem is investigated, its solution is found, and the well-posedness of its formulation is proved. The results of previous works are generalized. The subject of greatest interest is the asymptotic behavior, as , of the displacements of a point under material deformations and the asymptotic behavior of their derivatives. Here, the functions are assumed to depend on the material temperature at the point .
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542519090057