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Torsional Impact on a Penny-Shaped Crack at the Interface of a Semi-infinite Medium and an Elastic Layer

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Abstract

Purpose of this article is to inquire the impact response of torsional load on a penny shaped crack positioned at the join of a semi-infinite medium and a finite layer of different engineering material. The considered problem has been transformed to the solution of a pair of dual integral equation adopting Laplace and Hankel transform technique. Later the transformed problem is converted to a Fredholm integral equation. The integral equation is solved numerically and for numerical Laplace inversion, Zakian’s Algorithm has been employed to find the time-dependent solution. The stress intensity factor is obtained around the crack periphery and plotted for several materials and parameters.

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Acknowledgements

This research work is financially supported by the CSIR, New Delhi, India.

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

    Subhadeep Naskar & S. C. Mandal

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  1. Subhadeep Naskar
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  2. S. C. Mandal
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Correspondence to Subhadeep Naskar.

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Naskar, S., Mandal, S.C. Torsional Impact on a Penny-Shaped Crack at the Interface of a Semi-infinite Medium and an Elastic Layer. Int. J. Appl. Comput. Math 7, 26 (2021). https://doi.org/10.1007/s40819-021-00960-4

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