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A micro/macro approach to fracture in composites
Author(s) -
Kollé J. J.,
Lin K. Y.,
Mueller A. C.
Publication year - 1990
Publication title -
polymer composites
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 82
eISSN - 1548-0569
pISSN - 0272-8397
DOI - 10.1002/pc.750110604
Subject(s) - materials science , composite material , strain energy release rate , fracture toughness , finite element method , plasticity , fracture (geology) , strain energy , boundary value problem , matrix (chemical analysis) , composite number , structural engineering , mathematics , mathematical analysis , engineering
The results of an integrated microscopic/macroscopic finite element analysis of fracture in fiber‐reinforced composites are presented. A macroscopic analysis of a composite double‐cantilever‐beam (DCB) fracture toughness test specimen was carried out using a singular finite element method. The effects of fiber layup angle on strain energy release rate are discussed. Results from this analysis were input as boundary conditions to a microscopic model used to calculate J‐integral values in the crack tip region. Nonhomogeneity in this region causes the elastic strain energy release rate to vary with crack tip location and geometry. Elastic‐plastic calculations showed that significant matrix plasticity occurs near fibers away from the crack tip region. The constitutive equation chosen for the matrix plasticity was shown to have an important effect on the J‐integral value. The results show how the microscopic J‐integral is related to the macroscopic strain energy release rate.

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