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Elastodynamic Response of Symmetric Edge Cracks in an Orthotropic Strip

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Abstract

The in-plane problem relating to the elastodynamic response of two edge cracks of finite length, situated symmetrically in an orthotropic infinite strip of finite thickness is analyzed. Fourier transforms are used to reduce the mixed boundary value problem to Cauchy-type singular integral equation which is solved numerically to calculate the stress intensity factors at the tip of cracks. Numerical results of stress intensity factors for several orthotropic materials have been plotted graphically against dimensionless frequency to display the effect of strip width on stress intensity factor. Also normal stress at distant points from the cracks has been evaluated numerically and plotted for various parameters.

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Acknowledgments

This research work is supported by DST-PURSE Programme (Phase-II) Jadavpur University.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India

    Aritri Nandi & S. C. Mandal

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  1. Aritri Nandi
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  2. S. C. Mandal
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Correspondence to S. C. Mandal.

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Nandi, A., Mandal, S.C. Elastodynamic Response of Symmetric Edge Cracks in an Orthotropic Strip. Int. J. Appl. Comput. Math 3, 2611–2625 (2017). https://doi.org/10.1007/s40819-016-0259-3

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