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Elastodynamics of axi-symmetric deformation in magneto-micropolar generalized thermoelastic medium

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Applied Mathematics and Mechanics(English Edition) 2009年第1期30卷 39-48页

作者： Rajneesh Kumar rupender Department of Mathematics Kurukshetra University Kurukshetra-136 119 India

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： generalized magneto-micropolar thermoelasticity axi-symmetric problem mechanical and thermal sources Laplace and Hankel transforms

Propagation of plane waves at the imperfect boundary of elastic and electro-microstretch generalized thermoelastic solids

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Applied Mathematics and Mechanics(English Edition) 2009年第11期30卷 1445-1454页

作者： Rajneesh Kumar rupender Department of Mathematics Kurukshetra University

The problem of reflection and transmission of plane waves incident on the contact surface of an elastic solid and an electro-microstretch generalized thermoelastic solid is discussed. It is found that there exist five reflected waves, i.e., longitudinal displacement （LD） wave, thermal （T） wave, longitudinal microstretch （LM） wave and two coupled transverse displacement and microrotational （CD（I） and CD（II）） waves in the electro-microstretch generalized thermoelastic solid, and two transmitted waves, i.e., longitudinal （P） and transverse （SV） waves in the elastic solid. The amplitude ratios of different reflected and transmitted waves are obtained for an imperfect boundary and deduced for normal force stiffness, transverse force stiffness, and perfect bonding. The variations of amplitude ratios with incidence angles have been depicted graphically for the LD wave and the CD（I） wave. It is noticed that the amplitude ratios of reflected and transmitted waves are affected by the stiffness, electric field, stretch, and thermal properties of the media. Some particular interest cases have been deduced from the present investigations.

关键词： amplitude ratios electro-microstretch thermoelastic solid normal forcestiffness transverse force stiffness welded contact

磁-微极广义热弹性介质中轴对称变形的弹性动力学

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应用数学和力学 2009年第1期30卷 40-50页

作者： R·库玛鲁班德黄锋(译) 张禄坤(校) 库鲁克西察大学数学系库鲁克西察-136 119印度不详

在横向磁场中,表面受机械源或热源作用时,研究电磁-微极热弹性半空间中的轴对称问题.问题的求解用到了Laplace和Hankel变换技术.作为该方法的一个应用,采用了集中源/沿圆周分布作用源(机械源和热源).对积分变换的逆变换使用数值技术,得... 详细信息

在横向磁场中,表面受机械源或热源作用时,研究电磁-微极热弹性半空间中的轴对称问题.问题的求解用到了Laplace和Hankel变换技术.作为该方法的一个应用,采用了集中源/沿圆周分布作用源(机械源和热源).对积分变换的逆变换使用数值技术,得到物理域中的应力分量和温度分布,以及感应电场和感应电磁场.对于两种不同的广义热弹性理论(Lord-Shulman(L-S)理论和Green-Lindsay(G-L)理论),给出了这些物理量的表达式,并用插图显示磁场的影响.还导出了一个感兴趣的特例.

关键词：广义磁-微极热弹性轴对称问题机械源和热源 Laplace变换 Hankel变换