2D deformation in initially stressed thermoelastic half-space with voids

Ibrahim A. Abbas and Rajneesh Kumar

Abstract

The present investigation is to study the plane problem in initially stressed thermoelastic half-space with voids due to thermal source. Lord-Shulman (Lord and Shulman 1967) theory of thermoelasticity with one relaxation time has been used to investigate the problem. A particular type of thermal source has been taken as an application of the approach. Finite element technique has been used to solve the problem. The components of displacement, stress, temperature change and volume fraction field are computed numerically. The resulting quantities are depicted graphically for different values of initial stress parameter. The relaxation time and the initial stress parameter have a significant effect on all distributions.

Key Words

thermoelastic half-space; voids; initially stressed; thermal sources finite element

Address

(1) Ibrahim A. Abbas: Department of Mathematics, Faculty of Science and Arts - Khulais, University Of Jeddah, Saudi Arabia;<br>(2) Ibrahim A. Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;<br>(3) Ibrahim A. Abbas: Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt;<br>(4) Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India.

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