### Abstract

The scattering of elastic waves by a circular crack situated in a transversely isotropic solid is studied here. The axis of material symmetry and the axis of the crack coincides. The incident wave is taken as a plane longitudinal wave propagating perpendiculr to the crack surface. A Hankel transform representation of the scattered field is used, and after some manipulations using the boundary conditions this leads to an integral equation over the crack for the displacement jump across the crack. This jump is expanded in a series of Legendre polynomials which fulfill the correct edge condition and the integral equation is projected on the same set of Legendre polynomials. The far field is computed by the stationary phase method. A few numerical computations are carried out for both isotropic and anisotropic solids. Results for the isotropic solid compare favorably with those available in the literature.

Original language | English (US) |
---|---|

Pages (from-to) | 695-702 |

Number of pages | 8 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 58 |

Issue number | 3 |

State | Published - Sep 1991 |

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### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials

### Cite this

*Journal of Applied Mechanics, Transactions ASME*,

*58*(3), 695-702.

**Axisymmetric scattering of a plane longitudinal wave by a circular crack in a transversely isotropic solid.** / Kundu, Tribikram; Bostroem, A.

Research output: Contribution to journal › Article

*Journal of Applied Mechanics, Transactions ASME*, vol. 58, no. 3, pp. 695-702.

}

TY - JOUR

T1 - Axisymmetric scattering of a plane longitudinal wave by a circular crack in a transversely isotropic solid

AU - Kundu, Tribikram

AU - Bostroem, A.

PY - 1991/9

Y1 - 1991/9

N2 - The scattering of elastic waves by a circular crack situated in a transversely isotropic solid is studied here. The axis of material symmetry and the axis of the crack coincides. The incident wave is taken as a plane longitudinal wave propagating perpendiculr to the crack surface. A Hankel transform representation of the scattered field is used, and after some manipulations using the boundary conditions this leads to an integral equation over the crack for the displacement jump across the crack. This jump is expanded in a series of Legendre polynomials which fulfill the correct edge condition and the integral equation is projected on the same set of Legendre polynomials. The far field is computed by the stationary phase method. A few numerical computations are carried out for both isotropic and anisotropic solids. Results for the isotropic solid compare favorably with those available in the literature.

AB - The scattering of elastic waves by a circular crack situated in a transversely isotropic solid is studied here. The axis of material symmetry and the axis of the crack coincides. The incident wave is taken as a plane longitudinal wave propagating perpendiculr to the crack surface. A Hankel transform representation of the scattered field is used, and after some manipulations using the boundary conditions this leads to an integral equation over the crack for the displacement jump across the crack. This jump is expanded in a series of Legendre polynomials which fulfill the correct edge condition and the integral equation is projected on the same set of Legendre polynomials. The far field is computed by the stationary phase method. A few numerical computations are carried out for both isotropic and anisotropic solids. Results for the isotropic solid compare favorably with those available in the literature.

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UR - http://www.scopus.com/inward/citedby.url?scp=0026220792&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026220792

VL - 58

SP - 695

EP - 702

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 3

ER -