Chinese Journal of Theoretical and Applied Mechani ›› 2008, Vol. 40 ›› Issue (5): 695-700.DOI: 10.6052/0459-1879-2008-5-2007-104

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Dynamic propagation of asymmetrical mode III interface crack

  

  1. School of Material Science and Engineering, Shenyang Ligong University, Shenyang 110168, China Department of Civil Engineering, Northeastern University, Shenyang 110006, P R China Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China
  • Received:2007-03-05 Revised:2008-01-28 Online:2008-09-25 Published:2008-09-25

Abstract: Dynamic propagation of asymmetrical mode III interface crack were investigated with the theory of complex functions. It can be translated into a Riemann-Hilbert problem by means of self-similar functions, and the universal representations of analytical solution were obtained when there is $Pt / x$ or $Px^3 / t^2$ load at the origin of the crack coordinates. The closed-form solutions can also be simply obtained with Muskhelishvili's theory.

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