Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (1): 39-48 .doi: https://doi.org/10.1007/s10483-009-0105-6

• Articles • 上一篇    下一篇

磁_微极广义热弹性介质中轴对称变形的弹性动力学

R.库玛;鲁班德   

  1. 库鲁克西察大学 数学系,库鲁克西察_136 119, 印度
  • 收稿日期:2008-04-10 修回日期:2008-10-15 出版日期:2009-01-01 发布日期:2009-01-01
  • 通讯作者: R.库玛

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

Rajneesh Kumar; Rupender   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
  • Received:2008-04-10 Revised:2008-10-15 Online:2009-01-01 Published:2009-01-01
  • Contact: Rajneesh Kumar

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.

Abstract: 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.

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