| General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line |
| |
| 引用本文： | 易志坚,赵朝华,杨庆国,彭凯,黄宗明.General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line[J].应用数学和力学(英文版),2009,30(5):549-559. |
| |
| 作者姓名： | 易志坚 赵朝华 杨庆国 彭凯 黄宗明 |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10672196） |
| |
| 摘 要： | Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode- Ⅲ crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method axe summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness, and generality of the procedure.
|
| 关 键 词： | 一般形式 弹塑性 裂纹线 方程 匹配 裂缝 裂纹问题 统一模式 |
| 收稿时间： | 2008-02-28 |
General forms of elastic-plastic matching equations for mode-III cracks near crack line |
| |
| Zhi-jian Yi,Chao-hua Zhao,Qing-guo Yang,Kai Peng,Zong-ming Huang.General forms of elastic-plastic matching equations for mode-III cracks near crack line[J].Applied Mathematics and Mechanics(English Edition),2009,30(5):549-559. |
| |
| Authors: | Zhi-jian Yi Chao-hua Zhao Qing-guo Yang Kai Peng Zong-ming Huang |
| |
| Institution: | 1. School of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, P. R. China;
2. School of Civil Engineering, Chongqing University, Chongqing 400044, P. R. China |
| |
| Abstract: | Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the
traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address
mode-III crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method
are summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic
matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem
of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness,
and generality of the procedure.
Project supported by the National Natural Science Foundation of China (No. 10672196) |
| |
| Keywords: | mode-III crack elastic-perfectly plastic material crack line analysis crack line plastic zone |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
