在热冲击作用下圆柱体的动应力集中效应的解析解

本文提出一种解析方法求解在热冲击作用下圆柱体的动应力集中效应。当圆柱体受到一迅速的温度变化时，应力波将呈现在柱体内的每一点。当应力波自柱体外边界反射、并向柱体中心传播时，应力波波头将在柱体中心发生碰撞，由此导致柱体中心产生很高的动应力峰值，即热动应力集中现象。文中通过一种简便的解析方法精确获得了柱体内热动应力的响应历程和分布规律。计算结果表明，由于反射波的影响，柱体中心动应力峰值发生周期性振荡。中心处的径向动应力的响应历程与切向动应力相同。

AN ANALYTICAL SOLUTION FOR STRESS-FOCUSING EFFECT IN A SOLID CYLINDER UNDER THERMAL SHOCK

This paper presents an analytical solution for stress-focusing effect in a solid cylinder under thermal shock. When a solid cylinder is subjected to a rapid heating, the stress wave will appear at everypoint in the solid cylinder almost at the same time. The stress-focusing effest is the phenomenon that, under an instantaneous heating, stress wave reflected from the free suface of the cylinder results in very high stress peak at the comer. Utilizing a simple analytical method, we can exactly obtain the time histories and the distributions of thermodynamic stress in the solid cylinder subjected to thermal shock. The calculation results reveal that stress peak at the center oscillates periodically due to effect of reflected wave and that the history of the radial stress peak at the center is the same as that of the tangential stress peak at the center.