Matrix fracture in brittle matrix fiber-reinforced composites

Anil C. Wijeyewickrema*, Leon M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

A linear elastic fracture mechanics analysis of matrix cracking in a brittle matrix uniaxially fiber-reinforced composite due to uniform longitudinal strain is presented. The concentric circular cylinders model is used while perfect bonding is assumed at the fiber matrix interface. The axisymmetric problem of an elastic fiber surrounded by the elastic matrix containing an annular crack is formulated in terms of a singular integral equation of the first kind with a Cauchy-type kernel. Four possible crack configurations are considered as follows : (a) internal annular crack with inner crack tip away from the interface: (b) internal annular crack with inner crack tip at the interface: (c) annular edge crack with inner crack tip away from the interface; (d) annular edge crack with inner crack tip at the interface (fully cracked matrix). Stress intensity factors are given for a wide range of crack sizes for different ratios of shear moduli. Stress fields are presented for a typical brittle matrix fiber-reinforced composite. SiC/CAS calcium aluminosilicate glass ceramic reinforced with silicon carbide fibers.

Original languageEnglish (US)
Pages (from-to)43-65
Number of pages23
JournalInternational Journal of Solids and Structures
Volume28
Issue number1
DOIs
StatePublished - 1991

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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