Mathematical Sciences: Cavitation in Elastodynamics

对韧性材料的实验表明， 形成和聚结是主要的失效机制。 的 目前的研究将考虑动态空化在某些 金属和聚合物。 在要建模的物理情况下， 应力波被发送到一个固体球的中心， 材料 最初没有空。 当波浪离开 中心，孔可能会在材料中发展，作为一个结果， 基本方程的奇异解。 这项工作可能会导致一个简单的预测失败 在负荷缓慢增加的情况下启动， 单调地

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.