| 描述低周疲劳裂纹扩展速率的循环J积分新参量 |
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| 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 |
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| 作者姓名： | 胡宏玖 郭兴明 李培宁 谢禹钧 李洁 |
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| 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 |
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| 基金项目： | 上海市重点学科建设项目 |
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| 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．
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| 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 |
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| 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 |
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| Authors: | HU Hong-jiu GUO Xing-ming LI Pei-ning XIE Yu-jun LI Jie |
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| 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 |
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| 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. |
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| Keywords: | cyclic J-integral low-cycle fatigue constitutive equation numerical evaluation fatigue retardation |
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