Statistics of strength of elastic-brittle composite materials

Research output: Chapter in Book/Report/Conference proceedingChapter


We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parameterization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several 'windows of observation; (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective stiffness and strength of such composites.

Original languageEnglish
Title of host publicationComposites and functionally graded materials
EditorsT.S. Srivatsan, A. Zavaliangos
PublisherThe American Society of Mechanical Engineers
Number of pages7
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • General Materials Science


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