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This article is cited in 4 scientific papers (total in 4 papers)
Fundamental and generalized solutions of the equations of motion of a thermoelastic half-plane with a free boundary
L. A. Alexeyevaa, B. N. Alipovab a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science of the Republic of Kazakhstan, Almaty, 050010 Kazakhstan
b International University of Information Technologies, Almaty, Kazakhstan
Abstract:
A coupled thermoelasticity model is used to study the dynamics of a thermoelastic half-plane influenced by nonstationary body forces and heat sources. In space of Laplace transforms with respect to time, Green's tensor of the boundary value problem for the half-plane with a boundary free of stresses and heat fluxes is constructed. The displacements and the temperature of the medium are determined for arbitrary body forces and heat sources.
Key words:
thermoelastic dynamics, displacements, stresses, temperature, Green's tensor, thermoelastic half-plane, stress-strain state.
Received: 19.12.2017 Revised: 30.08.2018 Accepted: 11.01.2019
Citation:
L. A. Alexeyeva, B. N. Alipova, “Fundamental and generalized solutions of the equations of motion of a thermoelastic half-plane with a free boundary”, Zh. Vychisl. Mat. Mat. Fiz., 59:5 (2019), 829–837; Comput. Math. Math. Phys., 59:5 (2019), 782–790
Linking options:
https://www.mathnet.ru/eng/zvmmf10895 https://www.mathnet.ru/eng/zvmmf/v59/i5/p829
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Abstract page: | 108 | References: | 11 |
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