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复合型裂纹断裂的新准则
引用本文:任利,朱哲明,谢凌志,张茹,艾婷.复合型裂纹断裂的新准则[J].固体力学学报,2013,34(1):31-37.
作者姓名:任利  朱哲明  谢凌志  张茹  艾婷
作者单位:1. 四川大学建筑与环境学院2. 四川大学3.
基金项目:国家重点基础研究发展规划(973)项目,国家自然科学基金项目
摘    要:以Ⅰ-Ⅱ复合型裂纹为研究对象,对裂纹尖端的塑性区分布规律进行了理论分析。引入两组评价裂纹尖端应力场对裂纹扩展影响的参数,考虑裂纹尖端存在的局部塑性变形,并采纳如下两个假设,(1)裂纹沿最短路径穿过塑性区向弹性区扩展,(2)当在扩展方向上的弹塑性边界极半径r大于其临界极半径rC时,裂纹开始扩展。在此基础上,导出了新的复合型裂纹断裂准则,并与现有部分断裂准则及实验结果进行了对比。结果表明:新建立的复合裂纹断裂准则与实验结果吻合程度非常高。最后,阐明了以单一KIC或KIIC建立的复合裂纹扩展准则的局限性以及考虑裂纹尖端当前应力场的必要性。

关 键 词:复合裂纹  米赛斯屈服准则  塑性核心区  初裂角  断裂准则  临界极半径  
收稿时间:2011-11-01

NEW FRACTURE CRITERION FOR MIXED MODE CRACKS
Li Ren , Zheming Zhu , Lingzhi Xie , Ru Zhang , Ting Ai.NEW FRACTURE CRITERION FOR MIXED MODE CRACKS[J].Acta Mechnica Solida Sinica,2013,34(1):31-37.
Authors:Li Ren  Zheming Zhu  Lingzhi Xie  Ru Zhang  Ting Ai
Abstract:For mixed mode I-II cracks, the plastic zone distribution around crack tips is analyzed theoretically. Two groups of parameters which can be used to evaluate the effect of stress state on crack fracturing are introduced, and the local plastic deformation is considered. In this study, we adopt the following two assumptions: (1) cracks propagate in the direction in which the plastic core region boundary is the shortest to the crack tip; (2) once the radius from crack tip to the shortest plastic core region boundary reaches the critical radius, the crack start to propagate. Based on these assumptions, a new fracture criterion is developed, and the comparisons with the existing fracture criterions and the experimental results are conducted. The results show a well-de?ned correlation between the experimental data and the results according to the new fracture criterion. In addition, some discussions on the limitations of the criterions which are established just by single KIC or single KIIC and the necessity of considering the crack tip’s stress state are presented.
Keywords:
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