| DYNAMIC PROPAGATION PROBLEM ON DUGDALE MODEL OF MODE Ⅲ INTERFACE CRACK |
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| 引用本文： | 吕念春,程云虹,田修波,程靳.DYNAMIC PROPAGATION PROBLEM ON DUGDALE MODEL OF MODE Ⅲ INTERFACE CRACK[J].应用数学和力学(英文版),2005,26(9):1212-1221. |
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| 作者姓名： | 吕念春 程云虹 田修波 程靳 |
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| 作者单位： | [1]School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China [2]Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China [3]School of Material Science and Engineering, Shenyang University of Science and Technology, Shenyang 110168, P. R. China [4]Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| 摘 要： | By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simply by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily complex problems could be obtained.
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| 关 键 词： | 动态传播 Dugdale模型 界面断裂 自模仿函数 Riemann-Hilbert问题 |
| 文章编号： | 0253-4827（2005）09-1212-10 |
| 收稿时间： | 2004-07-06 |
| 修稿时间： | 2005-04-05 |
Dynamic propagation problem on Dugdale model of mode III interface crack |
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| Lü Nian-chun,Cheng Yun-hong,Tian Xiu-bo,Cheng Jin.Dynamic propagation problem on Dugdale model of mode III interface crack[J].Applied Mathematics and Mechanics(English Edition),2005,26(9):1212-1221. |
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| Authors: | Lü Nian-chun Cheng Yun-hong Tian Xiu-bo Cheng Jin |
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| Institution: | (1) School of Material Science and Engineering, Harbin Institute of Technology, 150001 Harbin, P. R. China;(2) Department of Civil Engineering, Northeastern University, 110006 Shengyan, P. R. China;(3) School of Material Science and Engineering, Shenyang University of Science and Technology, 110168 Shenyang, P. R. China;(4) Department of Astronautics and Mechanics, Harbin Institute of Technology, 150001 Harbin, P. R. China |
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| Abstract: | By the theory of complex functions, the dynamic propagation problem on Dugdale model of mode III interface crack for nonlinear
characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of self-similar
functions. The problems dealt, with can be easily transformed into Riemann-Hilbert problems and their closed solutions are
attained rather simply by this approach. After those solutions were utilized by superposition theorem, the solutions of arbitrarily
complex problems could be obtained. |
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| Keywords: | complex function Dugdale model interface crack self-similar function analytical solution |
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