Diffraction of harmonic flexural waves in a cracked elastic plate carrying electrical current-Reference-Cited by-同舟云学术

Diffraction of harmonic flexural waves in a cracked elastic plate carrying electrical current

Published:2005-09-14 Issue:2063 Volume:461 Page:3543-3560
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Ambur Damodar R¹,Hasanyan Davresh²,Librescu Liviu²,Qin Zhanming²

Affiliation:

1. Structures Division, MS 49-6, NASA Glenn Research Center, 21000 Brookpark Road, Cleveland, OH 44135, USA

2. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State UniversityBlacksburg, VA 24061-0219, USA()

Abstract

The scattering effect of harmonic flexural waves at a through crack in an elastic plate carrying electrical current is investigated. In this context, the Kirchhoffean bending plate theory is extended as to include magnetoelastic interactions. An incident wave giving rise to bending moments symmetric about the longitudinal x -axis of the crack is applied. Fourier transform technique reduces the problem to dual integral equations, which are then cast to a system of two singular integral equations. Efficient numerical computation is implemented to get the bending moment intensity factor for arbitrary frequency of the incident wave and of arbitrary electrical current intensity. The asymptotic behaviour of the bending moment intensity factor is analysed and parametric studies are conducted.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1512

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