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考虑三向应力效应的最大Mises应力复合断裂判据
引用本文:栾茂田,杨新辉,杨庆,樊成,叶祥记.考虑三向应力效应的最大Mises应力复合断裂判据[J].岩土力学,2006,27(10):1647-1652.
作者姓名:栾茂田  杨新辉  杨庆  樊成  叶祥记
作者单位:1. 大连理工大学,海岸和近海工程国家重点实验室/土木水利学院岩土工程研究所,大连,116024
2. 大连理工大学,海岸和近海工程国家重点实验室/土木水利学院岩土工程研究所,大连,116024;中国建筑科学研究院,地基基础研究所,北京,100013
基金项目:国家自然科学基金;教育部跨世纪优秀人才培养计划
摘    要:通过对脆性断裂过程中开裂扩展机理的分析,提出了径向平面最大Mises应力(RPMS)概念。在平面应变条件下考虑泊松比的影响,对不同应力复合比的Ⅰ-Ⅱ复合型载荷作用下裂尖处应力分布进行了分析,以此为基础,考虑裂尖处三向应力状态对断裂过程的影响,将径向平面上的最大Mises应力作为裂纹开裂扩展的控制因素。据此,针对复合型载荷模式,提出了裂尖复合脆性断裂判据及裂纹开裂方向表达式。将计算结果与现有试验或其他理论进行了对比分析,以此验证了该径向平面上最大Mises应力断裂判据的合理性。

关 键 词:脆性断裂机理  断裂判据  裂尖模型  应力强度因子  最大Mises应力  复合型载荷  裂纹开裂角
文章编号:1000-7598-(2006)01-1647-06
收稿时间:2005-02-05
修稿时间:2005-07-26

A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition
LUAN Mao-tian,YANG Xin-hui,YANG Qing,FAN Cheng,YE Xiang-ji.A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition[J].Rock and Soil Mechanics,2006,27(10):1647-1652.
Authors:LUAN Mao-tian  YANG Xin-hui  YANG Qing  FAN Cheng  YE Xiang-ji
Institution:1.State Key Laboratory of Coastal and Offshore Engineering, Institute of Geotechnical Engineering, School of Civil and Hydraulic, Engineering, Dalian University of Technology, Dalian 116024, China; 2. Institute of Foundation Engineering, China Academy of Building Research, 100013, China
Abstract:Based on the analysis of fractural mechanism of brittle materials, the concept of the radial plane maximum stress (RPMS) is presented. Under plane-strain condition, the stress distribution near the crack-tip is analyzed for mixed loading mode with different composite stress ratios in which the effect of Poisson’s ratio is taken into account. Afterwards, the maximum Mises stress on the radial plane is taken as the key factor which governs the fracture behavior and crack initiation and the mixed fracture criterion on the basis of the radial plane maximum stress is proposed to consider the effect of three-dimensional stresses. As a result, the expression of crack initiation orientation is given. The results computed by the proposed method are compared with solution obtained by the conventional fracture theory and experimental data. It is shown that the proposed solution can give a good understanding of fractural mechanism and behavior of brittle materials under combined loading pattern.
Keywords:brittle fracture mechanism  fracture criterion  crack-tip model  stress intensity factor  maximum Mises stress  mixed loading mode  orientation of crack development
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