Stationary Boundary Problems of Coupled Thermoelasticity for a Half-Plane and Their Solution
Alekseyeva L.A. Alipova B.N.
October 2023Pleiades Publishing
Mechanics of Solids
2023#58Issue 51509 - 1516 pp.
Abstract: Using the model of coupled thermoelasticity, the boundary value problems of the dynamics of a thermoelastic half-space are solved for plane deformation with periodic surface force and thermal effects associated with the desired boundary functions by linear algebraic relations. Green’s tensors are constructed for the stated boundary value problems, using their properties, analytical solutions of these problems are obtained. To solve them, we have used the method of incomplete separation of variables, the Fourier transform, and the properties of fundamental solutions. The presented algorithm solves the classical four boundary value problems of thermoelasticity, as well as non-classical ones with coupled thermal and force characteristics at the boundary of the half-plane.
analytical solution , coupled thermoelasticity , linearly coupled boundary conditions , periodic boundary value problems , thermally stressed state
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
University of Kentucky, Lexington, 40506, KY, United States
International IT University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling
University of Kentucky
International IT University
10 лет помогаем публиковать статьи Международный издатель
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