Progress in Micromechanical Research of Fracture of by P. W. R. Beaumont, Y. Shibuya

By P. W. R. Beaumont, Y. Shibuya

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The probabilistic expectation of tensile load in the whisker at the position of matrix crack, Pc, is given by Pc  Af  so cos (5) where Af is the cross-sectional area of the whisker. The cohesive stress acting on the crack surface is the sum of the probabilistic expectations of the components of the tensile loads which are acting on bridging whiskers through unit area of crack surface. Therefore, the cohesive stress c is expressed as  c  nA f   /2  / 2 f   so cos  d (6) 44 Progress in Micromechanical Research of Fracture of Composite Materials where n is the average number of bridging whiskers per unit area of crack surface and f is the probability density of the number of bridging whiskers for the angle .

Recently, the authors [6] have proposed a probabilistic model to study the fracture behavior of notched short fiber reinforced composites, and have derived the tension-softening relation. In this paper, the probabilistic model is modified and the tension-softening relation is derived for the damage zone of CFRP laminates. By incorporating the tension-softening relation in a boundary element method (BEM) scheme, the load-displacement relationship is simulated, and the simulated result is compared with experimental ones.

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