Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by finite element method

doi:10.1088/1674-1056/21/8/084601

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.

Keywords: thermoelastic diffusion thermal source finite element method relaxation time

Received: 20 February 2012
Revised: 20 February 2012
Accepted manuscript online:

PACS:	46.25.Hf	(Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))
	82.56.Lz	(Diffusion)
	87.10.Kn	(Finite element calculations)

Corresponding Authors: Ibrahim A. Abbas, Rajneesh Kumar
E-mail: ibrabbas7@yahoo.com; rajneesh kuk@rediffmail.com

Cite this article:

Ibrahim A. Abbas, Rajneesh Kumar, Vijay Chawla Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by finite element method 2012 Chin. Phys. B 21 084601

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Response of thermal source in a transversely isotropic thermoelastic half-space with mass diffusion by finite element method

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