Abstract

The scattering of SH-waves by a Griffith crack in an infinitely long elastic strip situated at an asymmetric position has been analyzed. Applying Fourier transform, the mixed boundary value problem has been reduced to the solution of dual integral equations which finally has been reduced to the solution of a Fredholm integral equation of second kind. The numerical values of stress intensity factor, crack opening displacement, and scattered field outside the crack have been illustrated graphically to show the effect of asymmetry of the crack position.

Highlights

  • Cracks or inclusions are present essentially in most of the structural materials, either as natural defects or as a result of fabrication processes

  • Great attention has been given to the study of diffraction of elastic waves by cracks situated at asymmetric position

  • Loeber and Sih [5] and Mal [6] have studied the problem of diffraction of elastic waves by a Griffith crack in an infinite medium

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Summary

Introduction

Cracks or inclusions are present essentially in most of the structural materials, either as natural defects or as a result of fabrication processes. Great attention has been given to the study of diffraction of elastic waves by cracks situated at asymmetric position. Loeber and Sih [5] and Mal [6] have studied the problem of diffraction of elastic waves by a Griffith crack in an infinite medium. We have treated the diffraction of SH-waves by a crack situated at asymmetric position in an infinitely long elastic strip which has not been considered yet. This type of situation arises in almost all cases of fabrication processes in construction technology. Stress (scattered field) outside the crack has been calculated and shown by three-dimensional graph

Formulation
Method of solution
Quantities of physical interest
Numerical results and discussion
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