IJPAM: Volume 15, No. 1 (2004)

INTERACTION OF MOVING INTERFACIAL CRACKS
BETWEEN BONDED DISSIMILAR ELASTIC STRIPS
UNDER ANTIPLANE SHEAR

S. Das$^1$, L. Debnath$^2$
$^1$Department of Mathematics
Poddar Vihar, 137 - VIP Road
Calcutta-700052, INDIA
Department of Mathematics
University of Texas - Pan American
1201 West University Drive, Edinburg, TX 78539, USA
e-mail: debnathl@panam.edu


Abstract.In this paper the interaction between three moving collinear Griffith cracks under antiplane shear stress situated at the interface of two bonded dissimilar fixed elastic strips has been studied. Fourier transform and finite Hilbert transform techniques have been employed to solve the problem. Analytical expressions for stress intensity factors at the crack tips have been derived. Numerical results connected to the interaction effect have also been obtained. Depending on the spacing of the cracks and their common velocity of propagation, occurence of shielding and amplification phenomena of the cracks have been noticed.

Received: February 17, 2004

AMS Subject Classification: 35G15

Key Words and Phrases: three moving collinear Griffith cracks, Fourier transform, Hilbert transform

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 1