Email this article Fundamental and Generalized Solutions of the Equations of Motion of a Thermoelastic Half-Plane with a Free Boundary
- Authors: Alexeyeva L.A.1, Alipova B.N.2
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Affiliations:
- Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science of the Republic of Kazakhstan
- International University of Information Technologies
- Issue: Vol 59, No 5 (2019)
- Pages: 782-790
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180572
- DOI: https://doi.org/10.1134/S0965542519050038
- ID: 180572
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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.
About the authors
L. A. Alexeyeva
Institute of Mathematics and Mathematical Modeling, Ministry of Educationand Science of the Republic of Kazakhstan
Author for correspondence.
Email: alexeeva@math.kz
Kazakhstan, Almaty, 050010
B. N. Alipova
International University of Information Technologies
Author for correspondence.
Email: b.alipova@iitu.kz
Kazakhstan, Almaty
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