旋转半无限大体广义电磁热弹性耦合的二维问题  

A TWO-DIMENSIONAL GENERALIZED ELECTROMAGNETO-THERMOELASTIC COUPLED PROBLEM FOR A ROTATING HALF-SPACE

作　　者：何天虎[1] 贾维维[1] 

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《工程力学》2009年第2期196-202,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(10602021;10872083);中国博士后科学基金项目(20060400209);兰州理工大学博士基金项目(5B10200410)

摘　　要：基于广义热弹性理论,研究了热和电可导的旋转半无限大体在其表面受随时间变化的热作用的广义电磁热弹性耦合的二维问题。半无限大体置于恒定的磁场中,受热作用产生膨胀变形,由于外加磁场的作用,介质中产生了感应的电场和感应的磁场。该文建立了电磁热弹性耦合的控制方程,利用正则模态法求解,得到了问题的解析解,并给出了各物理量的分布规律。可以看出,介质中呈现出电磁热弹耦合效应,由于旋转,位移和应力的幅值有很明显的降低,而旋转对温度和感应的磁场的影响不大。Based on Green and Lindsay＇s generalized thermoelasticity theory with two relaxation times, a two-dimensional coupled problem in electromagneto-thermoelasticity for a rotating half-space solid subjected to a heat on its surface is studied. There is an initial magnetic field parallel to the plane boundary of the half-space. The medium deforms because of the applied heat, and due to the application of the magnetic field. Thusly, both magnetic and electric fields are induced in the medium. Maxwell＇s equations and the electromagnetothermoelastic coupled governing equations are established. The normal mode analysis is used to obtain the exact expressions for the considered variables. The distributions of the considered variables are represented graphically. From the distributions, it can be found the wave type heat propagation and electromagneto-thermoelastic coupled effect in the medium, and it also can be found that the rotation significantly decreases the magnitude of the real part of displacement and stress and insignificantly affects the magnitude of temperature and induced magnetic field.

关 键 词：热松弛时间 电磁热弹耦合 正则模态法 旋转半无限大体 广义热弹性理论 

分 类 号：O411[理学—理论物理]