A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition

LUAN Mao-tian1; YANG Xin-hui1; 2; YANG Qing1; FAN Cheng1

doi:10.16285/j.rsm.2006.10.001

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A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition

更新时间：2026-06-25

- A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition
- Issue 10, Pages: 1647-1652(2006)
- 作者机构：
  
  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
  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
  3. 中国建筑科学研究院地基基础研究所,大连,116024
  4. ,北京,100013
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2006.10.001
  CLC： TV313
- Published：2006
- 稿件说明：
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[1]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(10):1647-1652.

LUAN Mao-tian1, YANG Xin-hui1, 2, et al. A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition[J]. 2006, (10): 1647-1652.
[1]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(10):1647-1652. DOI： 10.16285/j.rsm.2006.10.001.

LUAN Mao-tian1, YANG Xin-hui1, 2, et al. A mixed-mode fracture criterion based on maximum Mises stress on radial plane under three-dimensional stress condition[J]. 2006, (10): 1647-1652. DOI： 10.16285/j.rsm.2006.10.001.

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。

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.

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Related Institution

Institute of Foundation Engineering, China Academy of Building Research

State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University

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State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences

School of Architecture and Environment, Sichuan University

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