Scattering of acoustic beams by cracked composites

Md Rezaul Karim, Tribikram Kundu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The scattering of elastic waves by a subsurface crack in a fiber-reinforced composite half-space immersed in a liquid is analytically studied in this paper. The composite half-space is subjected to a bounded acoustic beam, propagating at an arbitrary angle of inclination. To solve this problem, two new Green's functions are developed for unit loads acting in horizontal and vertical directions in a flawless submerged orthotropic half-space. The governing equations along with boundary, regularity, and interface conditions are reduced to a coupled set of singular integral equations in terms of the unknown crack opening displacement (COD) by using representation theorem along with Green's function. The solution of these equations is obtained by expanding the unknown COD in terms of Che-bychev polynomials. The problem is first solved in the frequency domain. Time histories are then obtained by using fast Fourier transform (FFT) routines.

Original languageEnglish (US)
Pages (from-to)1812-1827
Number of pages16
JournalJournal of Engineering Mechanics
Volume116
Issue number8
DOIs
StatePublished - 1990

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Acoustics
Scattering
Cracks
Green's function
Composite materials
Elastic waves
Fast Fourier transforms
Integral equations
Polynomials
Fibers
Liquids

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Scattering of acoustic beams by cracked composites. / Karim, Md Rezaul; Kundu, Tribikram.

In: Journal of Engineering Mechanics, Vol. 116, No. 8, 1990, p. 1812-1827.

Research output: Contribution to journalArticle

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