中文摘要：

为了验证直接有限元法求解广义磁热弹耦合旋转问题的有效性及准确性,该文基于Lord和Shulman（L-S）广义热弹性理论,采用直接有限元方法,求解了置于磁场中的旋转半无限大体受热冲击作用的动态响应问题.文中给出了L-S型广义磁热弹耦合旋转问题的控制方程,建立了L-S型广义磁热弹旋转问题的虚位移原理,推导得到了相应的有限元方程.通过求解有限元方程,得到了半无限大体中无量纲温度、无量纲位移、无量纲应力及无量纲磁场的分布规律,从温度分布图上可以清晰地观察到热波波前的特有属性,即热波波前处存在明显的温度突变.同时,由于旋转效应,位移、应力、感应磁场的幅值有不同程度的降低,而旋转对温度几乎没有影响.结果表明,采用直接有限元法求解L-S型广义磁热弹性耦合的二维旋转问题是十分有效和准确的.

英文摘要：

For the purpose of examining the validity and accuracy of direct finite element method to dealing with generalized magneto-thermoelastic rotation problems in the context of Lord and Shulman theory（L-S）,this method was used to solve a generalized electromagneto-thermoelastic coupled dynamic problem of a rotating half-space.The L-S type generalized electromagneto-thermoelastic coupled governing equations were given,and the general form of virtual displacement principle as well as the corresponding finite element equations were formulated in this paper.The distributions of dimensionless temperature,dimensionless displacement,dimensionless stress and dimensionless induced magnetic field were displayed graphically.From the distribution of temperate,the unique characteristic of heat wave front can be clearly observed in the location of heat wave front where a sharp change of temperature occurs.And it also can be found that rotation acts to decrease the magnitude of the displacement,the stress and the induced magnetic field while barely has effect on the magnitude of temperature.The obtained results show that the method is effective to obtain high calculation accuracy for generalized two-dimensional electromagneto-themoelastic rotating problem in the frame of L-S theory.