广义电磁热弹二维问题的正则模态法

应用带有两个热松弛时间的G-L广义热弹性理论，研究-理想导体的半无限大电磁介质的电磁热弹耦合的二维问题．给出介质中的Maxwell方程组，建立了电磁热弹祸合的控制方程，通过正则模态法得到温度、位移、应力等物理量的解，并用图形反映了各物理量的分布，由此可以看出，热在介质中是以有限速度传播．

Normal mode analysis to two-dimensional generalized electromagneto-thermoelastic problem

A two-dimensional coupled problem in electromagneto-thermoelasticity for a perfectly conducting half-space whose surface is subjected to a thermal shock,is studied.The problem is in the context of the Green and Lindsay's generalized thermoelasticity theory with two relaxation times.The Maxwell equations are formulated and the electromagneto-thermoelastic coupled governing equations are established.The normal mode analysis is used to obtain the exact expressions for the considered variables.The distribution of the considered variables are represented graphically.From the distributions,the wave-type heat propagation can be found in the medium.This indicates that the generalized heat conduction mechanism is completely different from the classic Fourier's in essence.In generalized thermoelasticity theory,the heat propagates as a wave with finite velocity instead of infinite velocity in media.