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磁_微极广义热弹性介质中轴对称变形的弹性动力学
引用本文:R.库玛,鲁班德.磁_微极广义热弹性介质中轴对称变形的弹性动力学[J].应用数学和力学(英文版),2009,30(1):39-48.
作者姓名:R.库玛  鲁班德
作者单位:Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India  
摘    要:The present investigation is concerned with an axi-symmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to the mechanical or thermal source. Laplace and Hankel transform techniques are used to solve the problem. Various types of sources are taken to illustrate the utility of the approach. Integral transforms are inverted by using a numerical technique to obtain the components of stresses, temperature distribution, and induced electric and magnetic fields. The expressions of these quantities are illustrated graphically to depict the magnetic effect for two different generalized thermoelasticity theories, i.e., Lord and Shulman (L-S theory) and Green and Lindsay (G-L theory). Some particular interesting cases are also deduced from the present investigation.

关 键 词:热弹性力学  热应力  固体力学  物理
收稿时间:2008-04-10

Elastodynamics of axi-symmetric deformation in magneto-micropolar generalized thermoelastic medium
Rajneesh Kumar,Rupender.Elastodynamics of axi-symmetric deformation in magneto-micropolar generalized thermoelastic medium[J].Applied Mathematics and Mechanics(English Edition),2009,30(1):39-48.
Authors:Rajneesh Kumar  Rupender
Institution:Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
Abstract:The present investigation is concerned with an axiosymmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to the mechanical or thermal source. Laplace and Hankel transform techniques are used to solve the problem. Various types of sources are taken to illustrate the utility of the approach. Integral transforms are inverted by using a numerical technique to obtain the components of stresses, temperature distribution, and induced electric and magnetic fields. The ex-pressions of these quantities are illustrated graphically to depict the magnetic effect for two different generalized thermoelasticity theories, i.e., Lord and Shulman (L-S theory) and Green and Lindsay (G-L theory). Some particular interesting cases are also deduced from the present investigation.
Keywords:generalized magneto-micropolar thermoelasticity  axi-symmetric problem  mechanical and thermal sources  Laplace and Hankel transforms
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