Fracture with healing: A first step towards a new view of cavitation
Fracture with healing: A first step towards a new view of cavitation
复制标题
骨折愈合：迈向空化新观点的第一步
DOI：
10.2140/apde.2019.12.417
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发表时间：
2019
期刊：
影响因子：
2.2
通讯作者：
O. Lopez
中科院分区：
文献类型：
--
作者：
G. Francfort;A. Giacomini;O. Lopez
最近对橡胶的实验证据表明，在通常被称为空化的过程中产生的内部裂纹实际上可以愈合。在这方面的贡献，我们表明，裂纹愈合可以纳入准静态脆性断裂演化的变分框架，在过去的二十年中已经发展起来。这将实现二维线性弹性的拓扑设置，即当假定的裂纹是一个预设的最大数量的连接组件的封闭集。其他重要的特点，如近不可压缩性和作为断裂和愈合的累积历史的函数的断裂韧性的演变，在橡胶中的空穴尚未得到解决，即使在拟议的拓扑设置。2010年数学学科分类：74R10、35Q74、49J45、28A75、47J35
Recent experimental evidence on rubber has revealed that the internal cracks that arise out of the process often referred to as cavitation can actually heal. In this contribution we demonstrate that crack healing can be incorporated into the variational framework for quasi-static brittle fracture evolution that has been developed in the last twenty years. This will be achieved for two-dimensional linearized elasticity in a topological setting, that is when the putative cracks are closed sets with a preset maximum number of connected components. Other important features of cavitation in rubber such as near incompressibility and the evolution of the fracture toughness as a function of the cumulative history of fracture and healing have yet to be addressed even in the proposed topological setting. Mathematics subject classification 2010 : 74R10, 35Q74, 49J45, 28A75, 47J35