磁-微极广义热弹性介质中轴对称变形的弹性动力学  

Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium

作　　者：R·库玛 鲁班德 黄锋(译) 张禄坤(校) 

机构地区：[1]库鲁克西察大学数学系,库鲁克西察-136 119,印度 [2]不详

出　　处：《应用数学和力学》2009年第1期40-50,共11页Applied Mathematics and Mechanics

摘　　要：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.An axi-symmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to mechanical or thermal source in a transverse magnetic field is concerned with. Laplace and Hankel transform techniques were used to solve the problem. To illustrate the application of approach, two different type of sources i. e., concentrated force and thermal source over the circular region were considered. The integral transforms were 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 were 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）. A particular interesting case was also deduced.

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 

分 类 号：O343.6[理学—固体力学]