Dynamic response of an orthotropic half-space with a subsurface crack. In-plane case

M. R. Karim, Tribikram Kundu

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green's functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.

Original languageEnglish (US)
Pages (from-to)988-995
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Volume58
Issue number4
StatePublished - Dec 1991

Fingerprint

singular integral equations
crack opening displacement
half spaces
dynamic response
elastic waves
inclination
Dynamic response
polynomials
Green's functions
cracks
theorems
Cracks
Elastic waves
scattering
Green's function
Integral equations
Polynomials
Scattering

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Dynamic response of an orthotropic half-space with a subsurface crack. In-plane case. / Karim, M. R.; Kundu, Tribikram.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 58, No. 4, 12.1991, p. 988-995.

Research output: Contribution to journalArticle

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