无限长圆柱体中广义电磁热弹耦合问题研究  

STUDY ON GENERALIZED ELECTROMAGNETO-THERMOELASTIC COUPLING PROBLEMS OF AN INFINITE-LENGTH CYLINDER

作　　者：夏荣厚[1] 田晓耕[1] 沈亚鹏[1] 

机构地区：[1]西安交通大学强度与振动教育部重点实验室,西安710049

出　　处：《固体力学学报》2009年第6期579-585,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(10872158);"新世纪优秀人才支持计划"项目(NCET-05-0841)资助

摘　　要：基于L-S广义热弹性理论,研究了处于磁场中无限长理想圆柱导体在边界受热冲击作用时的电磁热弹耦合问题.建立了广义电磁热弹耦合的有限元方程,为避免积分变换方法求解带来的精度丢失,采用将有限元方程直接在时间域求解的方法,得到了圆柱体中的温度、位移、应力、感应磁场和感应电场的分布规律,反映了热的波动性及电磁热弹的耦合效应.结果表明,将有限元方程直接在时间域求解,可以获得各物理量的准确分布,得到温度在热波波前处的阶跃,准确地反应热波的波动效应.Electromagneto-thermoelasticity coupling problems for an infinite-length cylinder, made of perfect conduction materials, subjected to thermal impact are studied by adopting L-S generalized thermoelasticity. The finite element control equations are established at first. In order to avoid the precision loss of integral transformation solution method, the problems are solved directly in time domain. The distributions of temperature, displacement, stress as well as induced magnetic field and electric field are obtained, which represent the fluctuation character of thermal and coupling effect of electromagneto-thermalelastic in an infinite-length cylinder. The results show that the present method is an effective and exact numerical method for the generalized eletromagentic-thermoelasticity coupling problems and can obtain the temperature step of thermal wave front and fluctuation effect of thermal wave exactly.

关 键 词：热松弛时间 广义电磁热弹耦合 热波 时间域 有限元法 

分 类 号：O441.4[理学—电磁学] O343.6[理学—物理]