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描述低周疲劳裂纹扩展速率的循环J积分新参量
引用本文:胡宏玖,郭兴明,李培宁,谢禹钧,李洁. 描述低周疲劳裂纹扩展速率的循环J积分新参量[J]. 应用数学和力学, 2006, 27(2): 134-143
作者姓名:胡宏玖  郭兴明  李培宁  谢禹钧  李洁
作者单位:1. 上海大学,上海市应用数学和力学研究所,上海,200072
2. 华东理工大学,机械工程学院,上海,200237
基金项目:上海市重点学科建设项目
摘    要:探讨了低周疲劳加载条件下的应力增量.应变增量关系,提出了模拟裂纹疲劳扩展的二维模型以建立新的循环.积分参量,详细阐述了该积分参量的定义、主要特点、物理意义以及数值计算方法,并通过紧凑拉伸试样的疲劳试验检验该积分参量的有效性.结果表明:该积分参量能够较好描述恒幅低周疲劳裂纹的扩展速率.此外,基于积分参量体系,从能量的角度解释了疲劳迟滞现象.

关 键 词:循环J积分  低周疲劳  本构关系  数值计算  疲劳迟滞
文章编号:1000-0887(2006)02-0134-10
收稿时间:2005-08-23
修稿时间:2005-10-17

New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth
HU Hong-jiu,GUO Xing-ming,LI Pei-ning,XIE Yu-jun,LI Jie. New Cyclic J-Integral for Low-Cycle Fatigue Crack Growth[J]. Applied Mathematics and Mechanics, 2006, 27(2): 134-143
Authors:HU Hong-jiu  GUO Xing-ming  LI Pei-ning  XIE Yu-jun  LI Jie
Affiliation:1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China; 2. College of Mechanical Engineering, East China University of Science and Technology, Shanghai 200237, P. R. China
Abstract:The constitutive equation under low-cycle fatigue(LCF) was discussed, and a two-dimensional(2-D) model for simulating fatigue crack extension was put forward in order to propose a new cyclic J-integral.The definition, primary characteristics,physical interpretations and numerical evaluation of the new parameter were investigated in detail.Moreover,the new cyclic J-integral for LCF behaviors was validated by the compact tension(CT) specimens,results show that the calculated values of new parameter can correlate well with LCF crack growth rate,during constant-amplitude loading.In addition,the phenomenon of fatigue retardation was explained through the viewpoint of energy based on the concept of new parameter.
Keywords:cyclic J-integral  low-cycle fatigue   constitutive equation   numerical evaluation   fatigue retardation
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