基于能量等效原理的K因子、柔度统一模型

doi:10.3901/JME.2018.14.098

机械工程学报 ›› 2018, Vol. 54 ›› Issue (14): 98-106.doi: 10.3901/JME.2018.14.098

基于能量等效原理的K因子、柔度统一模型

贺屹, 蔡力勋, 陈辉

西南交通大学力学与工程学院成都 610031

收稿日期:2017-09-26 修回日期:2018-03-26 出版日期:2018-07-20 发布日期:2018-07-20
通讯作者: 蔡力勋(通信作者),男,1959年出生,教授,博士研究生导师。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:贺屹,男,1991年出生。主要研究方向为断裂力学。E-mail:hhyy903@163.com;陈辉,男,1990年生,博士研究生。主要研究方向为材料测试理论与技术。E-mail:chen_hui5352@163.com
基金资助:
国家自然科学基金资助项目（11472228）。

Unified Model of K Factor and Compliance Based on Energy Equivalence Principle

HE Yi, CAI Lixun, CHEN Hui

School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031

Received:2017-09-26 Revised:2018-03-26 Online:2018-07-20 Published:2018-07-20

摘要/Abstract

摘要： 当前常用裂纹试样的K因子和柔度C表达形式各异且参数的数量较多，有的裂纹试样K因子和柔度式中参数达到或超过6个，不利于计算；对于非标准试样的K因子和柔度C表达式的获取主要根据有限元分析数据而采用回归和拟合的方式，比较繁冗。针对9种I形裂纹试样，基于Chen-Cai能量等效原理提出仅有2或3个参数的K因子、柔度C的统一模型。结果表明，K因子和柔度C统一模型与文献式、有限元结果吻合良好。统一模型的建模方法简便有效，便于工程应用，对于获得各类异型小试样的K因子和柔度C的半解析表达式十分方便。

关键词: I型裂纹, 能量等效原理, 柔度, 统一模型, 应力强度因子

Abstract: The expressions of K factor and compliance C of general cracked specimens are very different from each other, and the number of formula parameters of K factor andthe compliance C for some specimens are much more than six, this is not convenient for application. The acquisition of K factor andthe compliance C expression for nonstandard samples mainly adopts the regression and fitting methods, it is quite complicated. A unified model with only 2 or 3 parameters to predict K factor and compliance C for nine components with mode-I crack is proposed based on the Chen-Cai energy equivalence method. Verifications show that the unified model of K factor and compliance C is in good agreement with the formulas in references and the results from finite element analysis. The establishment of the unified model is simple and effective, and it is convenient for engineering application. Therefore, the novel method is convenient to obtain the semi-analytical expressions of K factor and C for cracked specimens.

Key words: compliance, energy equivalence principle, mode I crack, stress intensity factor, unified model

中图分类号:

O346

贺屹, 蔡力勋, 陈辉. 基于能量等效原理的K因子、柔度统一模型[J]. 机械工程学报, 2018, 54(14): 98-106.

HE Yi, CAI Lixun, CHEN Hui. Unified Model of K Factor and Compliance Based on Energy Equivalence Principle[J]. Journal of Mechanical Engineering, 2018, 54(14): 98-106.

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基于能量等效原理的K因子、柔度统一模型

Unified Model of K Factor and Compliance Based on Energy Equivalence Principle

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