mixed-mode crack, ,equivalent crack, ,crack propagation, ,XFEM, ,fatigue life

 ,"/> 描述复合型疲劳裂纹扩展路径的等效模型

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  2018, Vol. 39 Issue (3): 296-304    DOI: 10.19636/j.cnki.cjsm42-1250/o3.2017.025
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描述复合型疲劳裂纹扩展路径的等效模型
赵翔,聂凯,朱涛,王峰会
1. 西北工业大学力学系
2. 中国飞机强度研究所
3. 中国航发湖南动力机械研究所
An Equivalent Model of Mixed-mode Crack to Predict the Fatigue Growth Characteristics
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摘要 复合型裂纹的扩展路径不同于Ⅰ型裂纹,会沿着与初始裂纹面不同的方向扩展,扩展路径的准确预测对扩展速率的评估具有重要的作用。采用最大周向应力准则和最小应变能密度准则进行扩展路径的预测时,开裂角的误差会使裂纹不断偏离实际路径,造成最终结果的较大偏差。本文将复合裂纹在扩展过程中的弯折裂纹简化为直线裂纹,对简化过程中所产生的误差进行定量分析,并在此基础上提出了一种描述复合型裂纹扩展路径的等效修正模型。将此模型写入ABAQUS扩展有限元模块,实现了基于等效修正模型的疲劳裂纹扩展程序。通过对含中心斜裂纹板的疲劳裂纹扩展试验,验证了本模型的有效性,预测的开裂角与试验结果基本一致,所得到的载荷循环次数低于试验值,对含裂纹结构的寿命评估偏于保守。
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赵翔
聂凯
朱涛
王峰会
关键词 复合型裂纹等效裂纹扩展路径扩展有限元疲劳寿命    
Abstract

Fatigue fracture is a common failure type of engineering structures under load cycles. The crack existed in the structure is often a mixed-mode crack because the direction of the resultant load is not perpendicular to the crack surface. The mixed-mode crack does not grow along the direction of the initial crack surface, and it is different from that of mode I crack. Accurately predicting the behavior of crack propagation is of significance for crack growth rate evaluation. A common method is to simplify the broken crack as a straight line crack, which, however, will bring an accumulated error into the prediction of crack propagation while using the existing crack propagation criterion. The path calculated using that method deflects downwards, deviating from the real situation. In the present study, the cleavage angle is revised on the basis of analyzing the error caused by the common method, and the actual crack is simplified as an equivalent linear crack. Then, an equivalent modified model is proposed for describing the fatigue growth path of mixed-mode crack. The crack propagation of the mixed-mode crack can be predicted by incorporating this model into ABAQUS XFEM module. The proposed model is validated by the fatigue crack propagation experiments of 2024 aluminum alloy plate with inclined crack. It is found that the results predicted by the model are in agreement with the experimental results. First, the number of fatigue loading cycles computed using the proposed model is lower than that tested by experiments if the specimens are of the same initial crack length. The prediction using the present method is conservative. Second, the accuracy of the prediction is good if the cracked structure is mainly subjected to mode I load, while the maximum computed error is less than 10% if mode  load is more significant.

Key words

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收稿日期: 2017-07-03      出版日期: 2017-10-31
ZTFLH:  V215.5  
基金资助:国家自然科学基金(11572253)和中央高校基本科研业务费(3102014JCQ01040)资助项目
通讯作者: 赵翔     E-mail: hope_888@mail.nwpu.edu.cn
引用本文:   
赵翔,聂凯,朱涛,王峰会. 描述复合型疲劳裂纹扩展路径的等效模型[J]. , 2018, 39(3): 296-304.
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