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

T. Kundu, A. Boström

Research output: Contribution to journalArticle

23 Scopus citations

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 perpendicular 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 languageEnglish (US)
Pages (from-to)695-702
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Volume58
Issue number3
DOIs
StatePublished - Sep 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Axisymmetric scattering of a plane longitudinal wave by a circular crack in a transversely isotropic solid'. Together they form a unique fingerprint.

  • Cite this