中文摘要：

通过建立球面各向同性冲击载荷作用下弹性球体的Green函数，得到了问题的位移分布的解析解和相应的动应力分布表达式．此解法不仅避免了将动力学的一般解分解为拟静态解和自由振动解叠加的过程，而且解的形式适用于各种初始条件，便于数值计算和应力分布规律的分析．通过一个实例的计算，表明了求解方法的正确性，并据此结果具体分析了弹性球体的动应力分布规律．

英文摘要：

Analytical solution of displacement distribution and corresponding expressions of dynamic stress were obtained by building Green function for elastic solid sphere under an isotropic impact load. With this method, not only the process which decomposed dynamic general solution to quasi-static solu- tion and free vibration solution was avoided, but also the form of solution was suitable for all kinds of orig- inal conditions, easy for numerical calculation and dynamic stress analyses. Through a real example, the solving method was shown as correct and dynamic stress distribution was analyzed with this result.