Quasi-Static Deformation of a Uniform Thermoelastic Half –Space Due to Seismic Sources and Heat Source

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  • A.K Vashishth*1,
  • K Rani2,
  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  2. Department of Mathematics, CMG Govt. College for Women, Bhodia Khera, Fatehabad 125050, India

Revised: 2018-07-01

Accepted: 2018-09-02

Published in Issue 2018-12-30

How to Cite

Vashishth, A., & Rani, K. (2018). Quasi-Static Deformation of a Uniform Thermoelastic Half –Space Due to Seismic Sources and Heat Source. Journal of Solid Mechanics, 10(5), 702-718. http://oiccpress.com/jsm/article/view/12082

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Abstract

This paper investigates the quasi-static plane deformation of an isotropic thermoelastic half-space due to buried seismic sources and heat source. Governing equations of thermo-elasticity are solved to obtain solutions for seismic sources in a thermoelastic half-space. The general solutions are acquired with the aid of Laplace and Fourier transforms and with the use of boundary conditions. The case of dip-slip line dislocation is studied in detail along with line heat source. Analytical solutions for two limiting cases: adiabatic and isothermal, are obtained. The solutions for displacement, stresses and temperature in space-time domain are obtained by using a numerical inversion procedure. The accuracy of the proposed method is verified through a comparison of the results obtained with the existing solutions for elastic medium. In addition, numerical results for displacements, stresses and temperature function, induced by a vertical dip-slip dislocation and line heat source, are presented graphically to illustrate the effect of inclusion of thermal effect in simulation of the problem.
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