基于能量释放率的Ⅱ型裂纹开裂分析

摘要

The cracking branching is a new type of fracture problem.The classic J i-integral has been further explored utilizing a partial integral path,from which an analytical solution of the energy release rate for mode-Ⅱ crack-branching.The SIFs is determined for the crack based on the J i-integral.When the singular stress field reaches its critical value,fracture will take place on the surface of boundary.The fracture of crack-branching is formulized and the critical load also is analytically derived by using the energy release rate of boundary translation.%分叉开裂问题是一个新型的断裂力学问题，本文利用经典 J i-积分守恒律，对部分路径积分，分析Ⅱ型裂纹分叉开裂时能量释放率，并指出裂纹边界分叉开裂的应力强度因子与 J i-积分的关系。当裂尖奇异应力场的应力集中达到一定程度时，即达到临界条件时，该应力场所在的边界将开裂，通过边界移动的能量释放率的分析定量地给出了边界分叉开裂能量释放率数学表征及边界开裂的极限临界载荷。