应用数学和力学2024，Vol.45Issue(3)：295-302,8.DOI:10.21656/1000-0887.440289
含内聚裂纹弹性体的能量释放率与断裂能
On Energy Release Rates and Fracture Energy of Elastic Bodies With Cohesive Cracks
摘要
Abstract
According to the cohesive crack model,there is a cohesive region near the crack tip of a cracked e-lastomer,and the expressions of fracture parameters in the cohesive region make the core research content.Under the assumption of a cohesive zone existing at the tip of a linear crack in an elastic plate,the zone was re-placed by a fictitious linear crack,and a definite nonlinear functional relationship between the fictitious crack opening displacement and the cohesion was given.An elastic plate with a mode-Ⅰ edge crack was taken as an example,and the analytical solution satisfying the fictitious crack condition was derived.On this basis,the cal-culating methods for energy release rate Ga of physical crack tip propagation and energy release rate Gb of cohe-sive crack tip propagation,were proposed.The relationships between Gb,the J integral and fracture energy GF were discussed.The results show that,critical energy release rate Gbc equals fracture energy GF,which can be used as a fracture parameter for crack instability propagation of materials with cohesive regions.The proposed method is applicable to all elastic bodies with mode-Ⅰ,Ⅱ and Ⅲ cohesive cracks.关键词
内聚区/虚拟裂纹/能量释放率/J积分/断裂能Key words
cohesive zone/fictitious crack/energy release rate/J-integral/fracture energy分类
力学引用本文复制引用
安蕊梅,侯永康,李云峰,段树金..含内聚裂纹弹性体的能量释放率与断裂能[J].应用数学和力学,2024,45(3):295-302,8.基金项目
河北省自然科学基金(A2015210029) （A2015210029）
河北省研究生创新项目(CXZZBS2017132) （CXZZBS2017132）
