无限弹性平面中孔附近的偶合热动应力分布(英文)

The coupled dynamic thermal stress distribution in the neighborhood of a cavity in an infinite elastic plane

尽管在一个无限弹性介质中一维腔体的偶合热动应力问题已经解决,但是任意形腔体附近的二维热应力问题目前尚未解决。研究了在一个无限弹性平面中任意形腔体在稳态谐和温度场T=T0eiωt作用下的热动应力问题,求得了用Hankle函数表示的问题的解析解,并给出圆腔及椭圆腔相应的数值结果。

Although the problem of the coupled dynamic thermal stress distribution in an infinite elastic medium with a one-dimensional cavity has been settled, a general solution of the two-dimensional coupled dynamic thermal stress distribution in the neighborhood of an arbitrary-shaped cavity is not obtained yet. The authours investigate the problem of the coupled dynamic thermal stress distribution in the neighborhood of an arbitrary-shaped cavity in an infinite elastic plane, while a steady and harmonic temperature field T = T0e^iwt is applied around the cavity. An analytical solution, represented by Hankel function, is obtained. To illustrate the utility of this solution, some corresponding numerical results of a circular and an elliptic cavity are given.