Boundary Integral Equations of Dynamics Problems for Multi-Connected Thermoelastic Semi-Plane with a Free Boundary

Boundary Integral Equations of Dynamics Problems for Multi-Connected Thermoelastic Semi-Plane with a Free Boundary

Lyudmila A. Alexeyeva Bakhyt N. Alipova*

Institute of Mathematics and Mathematical Modeling of MES RK, Kazakhstan

International University of Information Technology, Kazakhstan, Samara University, Russia

Al-Farabi Kazakh National University, Kazakhstan

Page: 
1120-1126
|
DOI: 
https://doi.org/10.2495/CMEM-V6-N6-1120-1126
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

The dynamics of multi-connected thermoelastic semiplane with the non-stationary power source and thermal effects by using of a model of coupled thermoelasticity is investigated. Green’s tensor in the space of the Laplace transforms in time describes the displacements of medium under the effect of the impulse concentrated power and thermal sources. The generalized solution of the problem of the dynamics of thermoelastic semiplane with the free boundary under the effect of arbitrary mass forces and thermal sources in 2D-case is built.

Keywords: 

dynamics, green’s tensor, semiplane, the laplace transformation, thermoelasticity

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