Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

INTERACTION BETWEEN THREE MOVING GRIFFITH CRACKS AT THE INTERFACE OF TWO DISSIMILAR ELASTIC MEDIA

  • Das, S. (Applied mathematics from the University of Calutta, B.P. Poddar Institute of Technology in Calcutta) ;
  • Patra, B. (Mathematics at Bengal Engineering College in West Bengal) ;
  • Debnath, L. (Matrials and Aerospace Engineering at the University of Central Florida)
  • Published : 2001.01.01

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Abstract

The paper deals with the interaction between three Griffith cracks propagating under antiplane shear stress at the interface of two dissimilar infinite elastic half-spaces. The Fourier transform technique is used to reduce the elastodynamic problem to the solution of a set of integral equations which has been solved by using the finite Hilbert transform technique and Cooke’s result. The analytical expressions for the stress intensity factors at the crack tips are obtained. Numerical values of the interaction efect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to other and crack tip spacing. AMS Mathematics Subject Classification : 73M25.

Keywords

References

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