An EnergyBased Fracture Model for Cracking from ModeⅡ CrackTip

doi:10.3969/j.issn.1006-396X.2015.05.019

Journal of Petrochemical Universities ›› 2015, Vol. 28 ›› Issue (5): 95-98.DOI: 10.3969/j.issn.1006-396X.2015.05.019

（School of Mechanical Engineering, Liaoning Shihua University, Fushun Liaoning 113001, China）

Received:2014-06-30 Revised:2015-05-20 Published:2015-10-25 Online:2015-10-21

基于能量释放率的Ⅱ型裂纹开裂分析

蔡永梅, 张芳瑶, 谢禹钧

( 辽宁石油化工大学机械工程学院, 辽宁抚顺1 1 3 0 0 1)

通讯作者: 谢禹钧( 1 9 6 0 - ) , 男, 博士, 教授, 博士生导师, 从事断裂力学、结构完整性评定等研究; E - m a i l : y j x i e@m a i l . f s p t t . l n.c n。
作者简介:蔡永梅( 1 9 8 1 - ) , 女, 博士研究生, 讲师, 从事断裂力学、化工机械等研究; E - m a i l : c y m l n p u@1 6 3. c o m。
基金资助:
国家自然科学基金项目( 5 0 7 7 1 0 5 2, 5 0 9 7 1 0 6 8) ; 辽宁省自然基金项目( 2 0 0 8 2 1 8 8) ; 辽宁省教育厅重点实验室项目
( L S 2 0 1 0 1 0 0) 。

Abstract

Abstract: 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Ⅱcrack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.

Key words: Fracture toughness, , JiIntegral, , Crackbranching, , Stress intensity factors, , Critical load

摘要： 分叉开裂问题是一个新型的断裂力学问题, 本文利用经典Ji - 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Ji - 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。

关键词: 断裂韧性, , Ji - 积分, , 裂纹分叉, , 应力强度因子, 临界载荷

Cai Yongmei， Zhang Fangyao， Xie Yujun. An EnergyBased Fracture Model for Cracking from ModeⅡ CrackTip [J]. Journal of Petrochemical Universities, 2015, 28(5): 95-98.

蔡永梅, 张芳瑶, 谢禹钧. 基于能量释放率的Ⅱ型裂纹开裂分析[J]. 石油化工高等学校学报, 2015, 28(5): 95-98.

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