二维半无限弹性平面内圆形腔孔表面的动态热应力分布  

DYNAMIC THERMOSTRESS DISTRIBUTION IN THE NEIGHBOURHOOD OF A CAVITY IN A SEMI-INFINITE ELASTIC PLANE

作　　者：刘杰[1] 盖秉政[1] 

机构地区：[1]哈尔滨工业大学航天工程与力学系,344哈尔滨150001

出　　处：《工程力学》2002年第1期89-93,共5页Engineering Mechanics

摘　　要：虽然无限弹性体中球腔的动态热应力分布问题已经得到解决,但是对于二维半无限弹性平面内圆形腔孔表面的动态热应力分布问题还没有得到解答。利用复变函数方法,本文分析了在半无限弹性平面附近施加稳态温度场条件下的圆形腔孔表面的动态热应力分布问题,得到了汉克函数表示的此问题的解析解,给出了相应的数值结果并进行了讨论。Although the problem of dynamic thermostress distribution in an infinite elastic solid with a spherical cavity has been settled, a general solution of a two-dimensional dynamic thermostress distribution in the neighborhood of a circular cavity in a steady temperature field has not been obtained yet. Using the complex function method, the present paper investigates the problem of dynamic thermostress distribution at the surface of a circular cavity in a semi-infinite elastic plane subjected to a steady temperature field. An analytical solution, represented by Hankel functions, is obtained. Some numerical results and discussion on them are given.

关 键 词：动态热应力 复变函数法 稳态温度场 二维半无限弹性平面 圆形腔孔表面 

分 类 号：O343.6[理学—固体力学]