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

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 84601-084601.doi: 10.1088/1674-1056/21/8/084601

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

Ibrahim A. Abbas^{a b}, Rajneesh Kumar^c, Vijay Chawla^c

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

收稿日期:2012-02-20 修回日期:2012-02-20 出版日期:2012-07-01 发布日期:2012-07-01

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

Ibrahim A. Abbas^{a b}, Rajneesh Kumar^c, Vijay Chawla^c

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

Received:2012-02-20 Revised:2012-02-20 Online:2012-07-01 Published:2012-07-01
Contact: Ibrahim A. Abbas, Rajneesh Kumar E-mail:ibrabbas7@yahoo.com; rajneesh kuk@rediffmail.com

摘要/Abstract

摘要： 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.

关键词: thermoelastic diffusion, thermal source, finite element method, relaxation time

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.

Key words: thermoelastic diffusion, thermal source, finite element method, relaxation time

中图分类号: (Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))

46.25.Hf

82.56.Lz (Diffusion) 87.10.Kn (Finite element calculations)

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[J]. 中国物理B, 2012, 21(8): 84601-084601.

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[J]. Chin. Phys. B, 2012, 21(8): 84601-084601.

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

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

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