Mathematical Sciences: Cavitation in Elastodynamics

数学科学：弹性动力学中的空化

• 批准号: 8810618
• 负责人: Kathleen Pericak-Spector
• 金额: $ 1.2万
• 依托单位: Southern Illinois University at Carbondale
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-08-15 至 1989-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8810618&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Cavitation; Elastodynamics

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.

对延性材料的实验表明，空洞的形成和聚结是主要的破坏机制。目前的研究将考虑某些金属和聚合物中的动态空化。在要模拟的物理情况下，应力波被发送到材料的实心球的中心。最初并不存在空虚。波离开中心后，由于基本方程的奇异解，可能会在材料中形成孔洞。这项工作可能导致在载荷缓慢且单调增加的情况下的故障起始的简单预测器。