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Edge Crack Subject to Anti-Plane Shear Wave in an Orthotropic Strip

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Abstract

In this article, the proposed model analyzed shear wave propagation through an orthotropic strip with an edge crack. Dual integral equations have been developed for solution of the governing mixed boundary value problem with the aid of Hankel transform technique. Then, the dual integral equations have been transformed into a second kind Fredholm integral equation employing Abel’s transformation. The numerical calculations of stress intensity factor and crack opening displacement are performed utilizing the Fox & Goodwin method and displayed graphically. Elastic constants of two orthotropic materials have been used to illustrate the influence of material orthotropy and normalized strip width on SIF and COD.

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Authors and Affiliations

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

    Somashri Karan, Sourav Kumar Panja & Subhas Chandra Mandal

  2. Department of Mathematics, Arignar Anna Government Arts and Science College, Karaikal, 609605, Puducherry, India

    Sanjoy Basu

  3. Department of Mathematics, Dr. Kalaignar M. Karunanidhi Govt. Institute for P.G. Studies and Research, Karaikal, 609605, India

    Sanjoy Basu

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  1. Somashri Karan
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  2. Sourav Kumar Panja
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  4. Subhas Chandra Mandal
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Contributions

First and second authors performed the analysis and wrote the paper. Second and Third author collected the data, and analysis tools for the paper. Third authors conceived and designed the analysis, perform the analysis and collected the data. Forth authors conceived and designed the analysis, and wrote the paper.

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Correspondence to Sanjoy Basu.

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Karan, S., Panja, S.K., Basu, S. et al. Edge Crack Subject to Anti-Plane Shear Wave in an Orthotropic Strip. J Elast (2023). https://doi.org/10.1007/s10659-023-10032-x

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