基于能量密度等效的Ⅰ-Ⅱ型裂纹K因子半解析模型

doi:10.3901/JME.2020.22.068

机械工程学报 ›› 2020, Vol. 56 ›› Issue (22): 68-75.doi: 10.3901/JME.2020.22.068

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基于能量密度等效的Ⅰ-Ⅱ型裂纹K因子半解析模型

黄茂波, 蔡力勋, 祁爽

西南交通大学应用力学与结构安全四川省重点实验室成都 610031

收稿日期:2019-12-04 修回日期:2020-02-29 出版日期:2020-11-20 发布日期:2020-12-31
通讯作者: 蔡力勋(通信作者),男,1959年出生,教授。主要研究方向为断裂与疲劳、强度理论、材料测试理论与技术。E-mail:lix_cai@263.net
作者简介:黄茂波,男,1998年出生,博士研究生。主要研究方向为疲劳与断裂、材料测试理论与技术。E-mail:1149098839@qq.com;祁爽,女,1990年出生,博士研究生。主要研究方向为疲劳与断裂、材料测试理论与技术。E-mail:daisy_ishuang@126.com
基金资助:
国家自然科学基金资助项目（11472228）。

Semi-analytical Method for Solving the Stress Intensity Factor of Mode Ⅰ-Ⅱ Crack Based on Energy Density Equivalence Principle

HUANG Maobo, CAI Lixun, QI Shuang

Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu 610031

Received:2019-12-04 Revised:2020-02-29 Online:2020-11-20 Published:2020-12-31

摘要/Abstract

摘要： 应力强度因子K是控制脆性断裂与疲劳裂纹扩展行为的重要力学量，历史上各类裂纹试样的K因子计算方法与公式都较复杂，所得到的K_Ⅰ和K_Ⅱ表达式为不同形式的回归式，公式的适用范围有限。针对含Ⅰ-Ⅱ混合型裂纹的试样，基于能量密度等效原理提出求解Ⅰ-Ⅱ混合型裂纹的K因子半解析模型，模型参数少，形式简单，普适性强，适用范围广。半解析模型预测的应力强度因子与文献结果和有限元结果吻合，该模型为脆性断裂与疲劳裂纹扩展行为相关研究提供了重要的理论基础。

关键词: 能量密度等效原理, 应力强度因子, 半解析模型, Ⅰ-Ⅱ混合型裂纹

Abstract: The stress intensity factor is an important mechanical parameter for controlling the behaviour of the brittle fracture toughness and fatigue crack growth. In the past researches, methods and formulas for solving K-factor of various cracked components are complicated. The expressions of K_Ⅰ and K_Ⅱ are both different fitting expressions, which have a limited application. A semi-analytical model with a simple form and general applications to predict K-factor for components with mode Ⅰ-Ⅱ crack is proposed based on energy density equivalence principle, and parameters can be calculated by a few FEA calculation. The result shows that K-factor predicted by the semi-analytical model agrees well with the literature result and the FEA result, and the model provides important theoretical foundation to studies on the brittle fracture toughness and fatigue crack growth.

Key words: energy density equivalence principle, stress intensity factor, semi-analytical model, modeⅠ-Ⅱcrack

中图分类号:

O134

黄茂波, 蔡力勋, 祁爽. 基于能量密度等效的Ⅰ-Ⅱ型裂纹K因子半解析模型[J]. 机械工程学报, 2020, 56(22): 68-75.

HUANG Maobo, CAI Lixun, QI Shuang. Semi-analytical Method for Solving the Stress Intensity Factor of Mode Ⅰ-Ⅱ Crack Based on Energy Density Equivalence Principle[J]. Journal of Mechanical Engineering, 2020, 56(22): 68-75.

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基于能量密度等效的Ⅰ-Ⅱ型裂纹K因子半解析模型

Semi-analytical Method for Solving the Stress Intensity Factor of Mode Ⅰ-Ⅱ Crack Based on Energy Density Equivalence Principle

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