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Four coplanar Griffith cracks moving in an infinitely long elastic strip under antiplane shear stress
Authors:J Sarkar  M L Ghosh  S C Mandal
Institution:(1) Department of Mathematics, University of North Bengal, 734 430 Darjeeling, India;(2) Physics and Applied Mathematics Unit, Indian Statistical Institute, 700035 Calcutta, India;(3) Present address: Department of Mathematics, Jadavpur University, 700032 Calcutta, India
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.
Keywords:Moving Griffith cracks  elastic strip  Hilbert transform  stress intensity factor
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