Publications
Article · Computational Mathematics and Mathematical Physics · May 1, 2019
Fundamental and Generalized Solutions of the Equations of Motion of a Thermoelastic Half-Plane with a Free Boundary
Lyudmila Alexeyevna Alexeyeva, Bakhyt N. Alipova
Abstract
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.
Thermoelastic and Magnetoelastic PhenomenaDifferential Equations and Boundary ProblemsElasticity and Wave Propagationthermoelasticityhalf-planefree boundary
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