Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1279-1290 .doi: https://doi.org/10.1007/s10483-008-1003-z

• Articles • 上一篇    下一篇

非对称Ⅲ型裂纹表面受运动载荷的动态扩展问题

吕念春1,2;程云虹3;李新刚2;程靳2   

  1. 1. 哈尔滨工业大学航天工程与力学系，哈尔滨 150001；
    2. 东北大学土木工程系，沈阳 110006;
    3. 沈阳理工大学材料科学与工程学院，沈阳 110168
  • 收稿日期:2007-05-10 修回日期:2008-08-28 出版日期:2008-10-01 发布日期:2008-10-01

Dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads

Lü Nian-chun1,2;CHENG Yun-hong3;LI Xin-gang2;CHENG Jin2   

  1. 1. School of Material Science and Engineering, Shenyang Ligong University, Shenyang 110168, P. R. China; 2. Department of Astronautics and Mechanics, Harbin Institute of Technology,Harbin 150001, P. R. China; 3. Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R. China  
  • Received:2007-05-10 Revised:2008-08-28 Online:2008-10-01 Published:2008-10-01
  • Contact: Lü Nian-chun

PDF

698

摘要： 通过复变函数论的方法，对非对称Ⅲ型裂纹表面受运动载荷的动态扩展问题进行了研究。采用自相似函数的方法可以获得解析解的一般表达式。应用该法可以迅速地将所讨论的问题转化为Riemann—Hilbert问题, 并求得了非对称扩展裂纹表面分别受到常数运动载荷、阶跃运动载荷作用下的应力、位移和动态应力强度因子解析解。利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

关键词: 复变函数, 非对称Ⅲ型裂纹, 解析解, 动态扩展, 自相似函数

Abstract: With the theory of complex functions, dynamic propagation problems concerning surfaces of asymmetrical mode III crack subjected to moving loads are investigated. General representations of analytical solutions are obtained with self-similar functions. The problems can be easily converted into Riemann-Hilbert problems using this technique. Analytical solutions to stress, displacement and dynamic stress intensity factor under constant and unit-step moving loads on the surfaces of asymmetrical extension crack, respectively, are obtained. By applying these solutions, together with the superposition principle, solutions of discretionarily intricate problems can be found.

Key words: complex functions, asymmetrical mode III crack, dynamic propagation, self-similar functions, analytical solutions

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn