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Title Diffraction of a magnetoelastic wave on stress concentrators in conducting bodies (antiplanar deformation)
Authors Fylshtynskyi, Leonid Anshelovych
Фоменко, Людмила Іванівна
Фоменко, Людмила Ивановна
Fomenko, Liudmyla Ivanivna
ORCID
Keywords diffraction of a magnetoelastic wave
antiplanar deformation
two-dimensional boundary-value problem
singular integral equation
method of mechanical quadratures
Type Article
Date of Issue 1995
URI http://essuir.sumdu.edu.ua/handle/123456789/21645
Publisher Springer
License
Citation L. A. Fil'shtinskii and L. I. Fomenko. Diffraction of a magnetoelastic wave on stress concentrators in conducting bodies (antiplanar deformation). Journal of Mathematical Sciences, 1995, Volume 74, Number 4, Pages 1199-1204
Abstract We consider a two-dimensional boundary-value problem of magnetoelasticity for a half-space weakened by tunnel stress concentrators (cracks, holes) in the presence of a static magnetic field. The mechanical stimulus is taken as a magnetoelastic shear wave incident from infinity or a shear load that varies harmonically in time and is prescribed on the edges of the crack or hole. The problem reduces to a singular integral equation that can be solved numerically by the method of mechanical quadratures. We give the results of computation of the coefficient of stress intensity K111 for a slit and the stress concentration on the edge of a hole. We conclude that it is necessary to take account of electromagnetic effects in estimating the strength of diamagnetic or paramagnetic bodies. Four figures. Bibliography: 6 titles. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/21645
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