Three-Dimensional Interaction in Thermoelastic Medium with Two Relaxation Times Due to Thermal Source

Author:

Abbas Ibrahim A.123,Kumar Rajneesh4,Lahiri A.5

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts-Khulais, University Of Jeddah, Saudi Arabia

2. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

4. Department of Mathematics, Kurukshetra University, Kurukshetra-136119, Haryana, India

5. Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallik Road, Kolkata-700 032, West Bengal

Abstract

The present study is concerned with the interaction in thermoelastic medium with two relaxation times due to thermal source. The finite element technique under normal mode analysis is used to solve the resulting nondimensional coupled equations. As an application of the approach, the particular type of thermal source has been considered. The components of displacement, stress and temperature change are computed numerically. The numerical stimulated results are depicted graphically for a specific model. The effect of rotation has been shown on the resulting quantities. Effect of relaxation times is shown on the resulting quantities by a comparison between the absence and presence of relaxation times.

Publisher

World Scientific Pub Co Pte Lt

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