DYNAMIC PROPAGATION PROBLEM ON DUGDALE MODEL OF MODE Ⅲ INTERFACE CRACK

• Published in: Applied mathematics and mechanics Vol. 26; no. 9; pp. 1212 - 1221
• Main Author: 吕念春 程云虹 田修波 程靳
• Format: Journal Article
• Language: English
• Published: Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China%School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China%Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China 01.09.2005; School of Material Science and Engineering, Shenyang University of Science and Technology, Shenyang 110168, P. R. China; School of Material Science and Engineering, Harbin Institute of Technology, Harbin 150001, P. R. China
• Subjects: Dugdale模型; Riemann-Hilbert问题; 动态传播; 界面断裂; 自模仿函数; analytical solution; self-similar function; complex function; interface crack; Dugdale model
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/bf02507732

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.