Transient response of three layered composites with two interface cracks due to a line load

Md R. Karim, Tribikram Kundu

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The dynamic response of three layered composites, with two interface cracks, subjected to an antiplane line load is analyzed. The Green's function for the uncreacked medium is used along with the representation theorem to derive the scattered field. Satisfaction of the traction free condition at the crack surfaces gives rise to a system of singular integral equations for determining crack opening displacements (COD), which are then solved by expanding the unknown COD in a complete set of Chebyshev polynomials. Numerical results for two sample problems are presented, for both isotropic and anisotropic materials. Results show how significantly material anisotropy and interaction between two cracks can affect the COD in a three layered plate.

Original languageEnglish (US)
Pages (from-to)53-72
Number of pages20
JournalActa Mechanica
Volume76
Issue number1-2
DOIs
StatePublished - Feb 1989

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Transient analysis
Cracks
Composite materials
Green's function
Integral equations
Dynamic response
Anisotropy
Polynomials

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

Cite this

Transient response of three layered composites with two interface cracks due to a line load. / Karim, Md R.; Kundu, Tribikram.

In: Acta Mechanica, Vol. 76, No. 1-2, 02.1989, p. 53-72.

Research output: Contribution to journalArticle

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