## 留言板

 引用本文: 侯永康, 段树金, 安蕊梅. 满足断裂过程区裂纹张开位移条件应力函数的半解析解法[J]. 应用数学和力学, 2018, 39(8): 979-988.
HOU Yongkang, DUAN Shujin, AN Ruimei. A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones[J]. Applied Mathematics and Mechanics, 2018, 39(8): 979-988. doi: 10.21656/1000-0887.380296
 Citation: HOU Yongkang, DUAN Shujin, AN Ruimei. A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones[J]. Applied Mathematics and Mechanics, 2018, 39(8): 979-988.

## 满足断裂过程区裂纹张开位移条件应力函数的半解析解法

##### doi: 10.21656/1000-0887.380296

###### 作者简介:侯永康（1990—），男，博士生(通讯作者. E-mail: 15233255808@163.com).
• 中图分类号: TU528; O346

## A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones

• 摘要: 基于Duan-Nakagawa模型，采用加权积分法，提出了一种满足断裂过程区裂纹张开位移条件应力函数的半解析解法.该方法结合边界选点法，通过叠加含有相同裂纹长度但断裂过程区长度不同的解析函数，得到满足给定裂纹张开位移的权函数，再进行加权积分得到相应的应力函数和位移函数.以带板对称边裂纹I型问题为例，应用上述方法成功导出了特定的应力函数和位移函数，以及相应的拉应变软化曲线和断裂能.
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##### 出版历程
• 收稿日期:  2017-11-23
• 修回日期:  2018-01-15
• 刊出日期:  2018-08-15

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