CAJ | 학술논문

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=T0eiwt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.
진관재일개무한탄성개질중일유강체적우합열동응력문제이경해결,단시임의형강체부근적이유열응력문제목전상미해결.연구료재일개무한탄성평면중임의형강체재은태해화온도장T=T0eiwt작용하적열동응력문제,구득료용Hankle함수표시적문제적해석해.병급출원강급타원강상응적수치결과.
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 = T0eiwt 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.