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**Harvard**

Kundu, T. och Boström, A. (1992) *Elastic wave scattering by a circular crack in a transversely isotropic solid*.

** BibTeX **

@article{

Kundu1992,

author={Kundu, Tribikram and Boström, Anders},

title={Elastic wave scattering by a circular crack in a transversely isotropic solid},

journal={Wave motion},

issn={0165-2125},

volume={15},

pages={285-300},

abstract={The scattering of arbitrary elastic waves by a circular crack in a transversely isotropic solid is investigated. The symmetry axis of the solid and the normal to the crack are parallel. The problem is first divided into a symmetric and an antisymmetric part with respect tp the plane of the crack. A Fourier-Hankel representation of the scattered field is then assumed and some manipulations using the conditions in the plane of the crack lead to an integral equation for the normal crack openaing displacement for the symmetric part and two coupled integral equations for the tangential components of the crack opening displacement for the antisymmetric part. The crack opening displacements are expanded in series of Legendre functions which fulfil the correct edge conditions and the integral equations are projected on the same set of Legendre functions. The far field is calculated with the stationary phase method. Numerical results are given for the crack opening displacement for incident quasi P and SV plane waves and compared with corresponding results for an isotropic solid.},

year={1992},

keywords={elastic wave, scattering, circular crack, transverse isotropy},

}

** RefWorks **

RT Journal Article

SR Print

ID 190762

A1 Kundu, Tribikram

A1 Boström, Anders

T1 Elastic wave scattering by a circular crack in a transversely isotropic solid

YR 1992

JF Wave motion

SN 0165-2125

VO 15

SP 285

OP 300

AB The scattering of arbitrary elastic waves by a circular crack in a transversely isotropic solid is investigated. The symmetry axis of the solid and the normal to the crack are parallel. The problem is first divided into a symmetric and an antisymmetric part with respect tp the plane of the crack. A Fourier-Hankel representation of the scattered field is then assumed and some manipulations using the conditions in the plane of the crack lead to an integral equation for the normal crack openaing displacement for the symmetric part and two coupled integral equations for the tangential components of the crack opening displacement for the antisymmetric part. The crack opening displacements are expanded in series of Legendre functions which fulfil the correct edge conditions and the integral equations are projected on the same set of Legendre functions. The far field is calculated with the stationary phase method. Numerical results are given for the crack opening displacement for incident quasi P and SV plane waves and compared with corresponding results for an isotropic solid.

LA eng

OL 30