Dynamics of thermoelastic half-plane by action of periodic loads and heat flows at its boundary
Alexeyeva L.A. Alipova B.
October 2021SAGE Publications Inc.
Mathematics and Mechanics of Solids
2021#26Issue 101498 - 1506 pp.
The problem of the dynamics of a thermoelastic half-space under periodic surface forces and heat flows is solved using the model of coupled thermoelasticity. The Green’s tensor for one boundary value problem is constructed utilizing Fourier transformation. Analytical solutions for arbitrary surface forces and heat flow using the theory of generalized functions are constructed. To solve this boundary value problem, generalized function theory, tensor and differential algebra, the operator method, and integral transformations were used. The solutions obtained make it possible to investigate the thermal stress–strain state of an array with natural and artificial thermal sources and mass power forces acting at its surface.
displacements , generalized functions , Green’s tensor , stresses , stress–strain state , temperature , Thermoelastic dynamics , thermoelastic half-space
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
International University of Information Technologies, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
International University of Information Technologies
10 лет помогаем публиковать статьи Международный издатель
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