中文摘要：

基于分数阶热弹性理论,就无限长圆柱导体的广义电磁热弹耦合问题的动态响应开展研究.圆柱体置于恒定的外加磁场中,在其表面处受到热冲击作用.给出分数阶理论下问题的控制方程,并运用拉普拉斯变换及其数值反变换技术对控制方程进行求解,得到圆柱体中无量纲温度、位移、应力、感应电磁场的分布规律并用图形进行反映.计算中,重点考查时间和分数阶参数对各物理量变化规律的影响效应.结果表明：分数阶参数对于位移和感应电场的变化有显著的影响,而对于温度、应力和感应磁场的影响不大.

英文摘要：

The dynamic response of a generalized electromagneto-thermoelastic problem of an infinitely long cylinder is investigated on the basis of fractional order theory of thermoelasticity.The cylinder is placed in a stationary external magnetic field and subjected to a thermal shock at its surface.The governing equations of the problem are given in accordance with the fractional order theory and solved by means of Laplace transform together with its numerical inversion.The distribution pattern of nondimensional temperature,displacement,stress,induced electric field and induced magnetic field in the cylinder are obtained and illustrated graphically.In the calculation,the effect of time and fractional order parameter on the variation pattern of physical quantities are emphatically examined.The result shows that the fractional order parameter will have a noticeable influence on the variation of the displacement and induced electric field but less influence on the variation of the temperature,stress and induced magnetic field.