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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 5, Pages 829–837
DOI: https://doi.org/10.1134/S004446691905003X (Mi zvmmf10895) 		 
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
Citations (4)
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DOI: https://doi.org/10.1134/S004446691905003X
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
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 5, Pages 782–790
DOI: https://doi.org/10.1134/S0965542519050038
Bibliographic databases:
Document Type: Article
UDC: 519.6:537.812
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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