Diffraction of elastic waves by an elliptic crack. II
type: Item
instance of: scholarly article
title: Diffraction of elastic waves by an elliptic crack. II
zbMATH Open document ID: 0601.73030
DOI: 10.1016/0020-7225(87)90003-6
author: Arabinda Roy
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: A recently developed integral equation technique [see part I, ibid. 22, 729-739 (1984; Zbl 0551.73029)] is used to obtain a low frequency solution for the diffraction of a plane compressional or shear wave by an elliptic crack embedded in an elastic medium. The mixed boundary value problem is reduced to a coupld system of integro-differential equations. A formal power series solution for the coupled system of integro- differential equations is developed. Attention is focussed on the farfield scattered amplitudes and the dynamic stress intensity factor. The limiting values when the ellipse degenerate into a circle agree with those of a circular crack.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 3970186
zbMATH Keywords: integral equation technique
zbMATH Keywords: low frequency solution
zbMATH Keywords: diffraction
zbMATH Keywords: plane compressional or shear wave
zbMATH Keywords: elliptic crack
zbMATH Keywords: elastic medium
zbMATH Keywords: coupld system of integro-differential equations
zbMATH Keywords: formal power series solution
zbMATH Keywords: farfield scattered amplitudes
zbMATH Keywords: dynamic stress intensity factor
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90003-6
OpenAlex ID: W4255080821
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description: scientific article; zbMATH DE number 3970186