空腔球体热冲击问题的一种求解方法

An analytical Solution for the Problem of Thermal shock in Hollow Sphere

空腔球体内温度发生突然变化时，球体内各点将同时呈现动应力。由于应力波在内外边界处的反射效应，这时将在空腔球体内产生很高的动应力。该文利用一种解析方法求解空腔球体内的热动应力的响应和分布规律。

When the temperature in a hollow sphere suddenly changes,a dynamicstress appears at each point in it.With the reflecting effect of stress wave on the internaland external boundaries there exist very high dynamic stresses in the hollow sphere. Inthis paper the response and distribution of thermodynamic stresses in a hollow sphere aresolved by means of an analytical method.