半无限大体广义电磁热弹耦合的二维问题

基于Lord和Shulman广义热弹性理论,研究了热、电可导的半无限大体电磁热弹耦合的二维问题。半无限大体受热和外加恒定磁场的作用,文中建立了电磁热弹性耦合的控制方程,利用正则模态法求解得到了所考虑物理量的解析解,并用图形反映了各物理量的分布规律,从分布图上可以看出,介质中出现了电磁热弹耦合效应,各物理量的非零值仅在一个有限的区域内。

Two-Dimensional Electromagneto-Thermoelastic Coupled Problem with Thermal Relaxation

The Lord and Shulman generalized thermoelastic theory is employed to investigate a two-dimensional thermally and electrically conducting half-space solid with a surface subjected to a time-dependent heat and under an initial magnetic field parallel to the plane boundary of the half-space.The medium deforms due to the heat magnetic field.The Maxwell's equations are formulated and the electromagneto-thermoelastic coupled governing equations are established.The normal mode analysis is carried out to obtain the exact expressions for the considered variables.The distributions of the considered variables are represented graphically.