• Four coplanar Griffith cracks moving in an infinitely long elastic strip under antiplane shear stress

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      https://www.ias.ac.in/article/fulltext/pmsc/106/01/0091-0103

    • Keywords

       

      Moving Griffith cracks; elastic strip; Hilbert transform; stress intensity factor

    • Abstract

       

      This paper concerns with the problem of determining the anti-plane dynamic stress distributions around four coplanar finite length Griffith cracks moving steadily with constant velocity in an infinitely long finite width strip. The two-dimensional Fourier transforms have been used to reduce the mixed boundary value problem to the solution of five integral equations. These integral equations have been solved using the finite Hilbert transform technique to obtain the analytic form of crack opening displacement and stress intensity factors. Numerical results have also been depicted graphically.

    • Author Affiliations

       

      J Sarkar1 2 M L Ghosh1 2 S C Mandal1 2 3

      1. Department of Mathematics, University of North Bengal, Darjeeling - 734 430, India
      2. Department of Mathematics, Jadavpur University, Calcutta - 700032, India
      3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta - 700035, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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