P-Waves Interaction with Crack at Orthotropic Interface

Palas Mandal; Subhas Chandra Mandal

doi:https://doi.org/10.14445/22315373/IJMTT-V55P535

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 4 | Year 2018 | Article Id. IJMTT-V55P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P535

P-Waves Interaction with Crack at Orthotropic Interface

Palas Mandal, Subhas Chandra Mandal

Citation :

Palas Mandal, Subhas Chandra Mandal, "P-Waves Interaction with Crack at Orthotropic Interface," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 4, pp. 266-278, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P535

Abstract

The paper is concerned with the problem of diffraction of P-waves by a Griffith crack situated at the interface of two different orthotropic media has been analyzed. Using Fourier transform and integral equation method, the mixed boundary value problem has been reduced to the solution of dual integral equations which has finally been reduced to the solution of a Fredholm integral equation of the second kind which are finally solved by using perturbation method. Stress intensity factor(SIF) and crack opening displacement (COD) around the crack tip are derived. The values of SIF and crack opening displacement have been calculated for various type of orthotropic materials and depicted graphically.

Keywords

Griffith crack, Orthotropic media, P-wave, Stress intensity factor, Crack opening displacement.

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