考虑扩散效应圆形隧洞热弹性耦合动力响应研究  

Thermodynamic Response of a Cylindrical Tunnel in the Theory of Generalized Thermoelastic Diffusion

作　　者：郑荣跃[1] 刘干斌[1] 唐国金[2] 

机构地区：[1]宁波大学建筑工程与环境学院,浙江宁波315211 [2]国防科技大学航天与材料工程学院,湖南长沙410073

出　　处：《国防科技大学学报》2008年第3期27-31,共5页Journal of National University of Defense Technology

基　　金：浙江省自然科学基金资助项目(Y107637);宁波市自然科学基金资助项目(2007A6100626)

摘　　要：利用S-H热弹性扩散的基本理论,研究了无限弹性介质中圆形隧洞表面受随时间变化的热冲击的动力响应问题。采用直接求解方法以避免势函数的引入,利用Laplace变换技术,求解热、力、化学耦合控制方程,获得了弹性介质中温度梯度、位移、应力和化学势的积分形式解。最后,利用Laplace逆变换得到数值结果,分析了热、力、化学耦合条件下弹性介质中温度梯度、应力、位移和化学势响应的分布规律。The theory of generalized thermoclastic diffusion of Sherief is used to investigate the dynamic response of infinite elastic medium with a cylindrical tunnel subjected to a time-dependent thermal shock. Without the customary use of potential functions, the direction method of solution, with the help of Laplace technique, is used to solve the coupling thermal, chemical and mechanical governing equation. The analytical solutions of temperature increment, displacement, stress and chemical potential are obtained in the transform domain, and by using the inverse Laplace transform, the numerical results are obtained and used to analyze the distribution of temperature increment, stress, displacement and chemical potential on the condition of thermo-chemo-mechanical coupling.

关 键 词：扩散 动力响应 热弹性 LAPLACE变换 

分 类 号：TU471.2[建筑科学—结构工程]