Dynamic Propagation Problems Concerning Asymmetrical Mode III Interface Crack

Abstract

By application of the theory of complex functions, dynamic propagation problems concerning asymmetrical mode III interface crack were studied. The general expressions of analytical solutions are obtained by the methods of self-similar functions. The problems researched can be easily transformed into Riemann-Hilbert problems and analytical solutions of an asymmetrical propagation crack under the conditions of variable moving loads and unit-step moving loads, respectively, are attained. After those solutions are utilized by superposition theorem, the solutions of arbitrarily complex problems can be gained.

Keywords:

• Complex functions
• Asymmetrical mode III interface crack
• Dynamic propagation
• Self-similar function
• Analytical solutions

Acknowledgments

Project supported by the postdoctoral foundation of China (N0.2003033379, No.2005038199), Hei Long Jiang provincial nature science foundation of China (ZJG04-08).