爆炸应力波近似处理的分析与研究

Analysis and study on dealing with blasting wave as planar-wave

通过弹性球面波的势函数求得了爆炸应力波BSW模型中弹性球面波的径向应力、质点振速等的显式解析解,并据此通过数值模拟得出实际计算中将球面波按平面波近似处理的误差及该误差随爆源距离、泊松比等的变化而产生变化的曲线。分析结果表明:距离是影响误差的决定性因素;在此计算条件下,当距离大于2～5m时,弹性球面波即可近似按平面波处理,其误差不超过5%,当距离小于此范围时,误差较大。

The solution to spherical wave in BSW model was obtained by analytical method. Through numerical simulation, the law of spherical wave propagation was derived in the form of graphs of stress-time and error-distance. The analysis shows that the distance has a decisive influence on the error between planar wave and spherical wave. When dealing with blasting wave as planar wave under the condition assumed by this paper, the relative error is below 5% if the distance to spherical cavity is larger than 2-5 m.