Mathematical Sciences: Cavitation in Elastodynamics

对延性材料的试验表明，空洞的形成和聚并是主要的破坏机制。本研究将考虑某些金属和聚合物中的动态空化现象。在要建模的物理情况下，将应力波发送到材料实心球的中心。最初没有空洞。在波离开中心后，由于基础方程的奇异解，材料中可能会出现一个洞。在负荷缓慢单调增加的情况下，这项工作可能会导致故障开始的简单预测。

Experiments on ductile materials have indicated that cavity formation and coalescence is a major failure mechanism. The present research will consider dynamic cavitation in certain metals and polymers. In the physical situation to be modeled, a stress wave is sent to the center of a solid ball of the material. There is no void initially. After the wave leaves the center, a hole may develop in the material as the result of a singular solution of the underlying equations. This work may lead to a simple predictor of failure initiation in situations where the loads increase slowly and monotonically.