Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by finite element method |
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| Authors: | Ibrahim A Abbas Rajneesh Kumar Vijay Chawla |
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| Affiliation: | a Department of Mathematics, Faculty of Science and Arts -- Khulais, King Abdulaziz University, Jeddah, Saudi Arabia;b Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt;c Department of Mathematics, Kurukshetra University, Kurukshetra-136119, Haryana, India |
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| Abstract: | The two-dimensional problem of generalized thermoelastic diffusion material with thermal and diffusion relaxation times is investigated in the context of Lord-Shulman theory. As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. The components of displacement, stress, temperature distribution, chemical potential, and mass concentration are obtained. The resulting quantities are depicted graphically for a special model. Appreciable effect of relaxation times is observed on various resulting quantities. |
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| Keywords: | thermoelastic diffusion thermal source finite element method relaxation time |
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