半无限大体广义电磁热弹耦合的二维问题  

Two-Dimensional Electromagneto-Thermoelastic Coupled Problem with Thermal Relaxation

作　　者：何天虎[1] 田晓耕[2] 

机构地区：[1]兰州理工大学,兰州730050 [2]西安交通大学,西安710049

出　　处：《应用力学学报》2007年第3期343-347,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10602021;10472089);中国博士后科学基金(20060400209)

摘　　要：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。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.

关 键 词：电磁热弹耦舍 热松弛时间 广义热弹性理论 

分 类 号：O343.6[理学—固体力学]