Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Mandal, Palas (2020) Moving semi-infinite mode-III crack inside the semi-infinite elastic media. Journal of Theoretical and Applied Mechanics, 58 (3). pp. 649-659. ISSN 1429-2955

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Abstract

The problem of a semi-infinite moving mode-III crack inside a semi-infinite isotropic half- -space is considered. The crack is located between a semi-infinite elastic medium and a layer whose distance from the surface to crack depth is h. Initially, Fourier transformation and inverse Fourier transformation are applied to transfer the governing boundary value problem to the well-known Wiener-Hopf equation. The purpose of this problem is to obtain the analytical solution of Stress Intensity Factor (SIF) and Crack Opening Displacement (COD) at the neighbourhood of the crack tip. In numerical Section, I have discussed the variation of parameters (crack velocity, layer distance h from the surface to crack depth) to show the effect of these parametric values on the graphs of SIF and COD where the material properties (density, shear modulus) were fixed. © 2020 Polish Society of Theoretical and Allied Mechanics. All rights reserved.

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IITH Creators:

IITH Creators	ORCiD

Item Type:

Article

Additional Information:

I would like to thank anonymous reviewers for their suggestion to improve the manuscript. This research work is financially supported by the University Grants Commission, India, Award No. 52047.

Uncontrolled Keywords:

Boundary value problems; Crack propagation; Elasticity; Fourier transforms; Geometry; Integral equations; Inverse problems; Shear flow; Stress intensity factors

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

15 Nov 2022 05:54

Last Modified:

15 Nov 2022 05:54

URI:

http://raiithold.iith.ac.in/id/eprint/11261