Page 165 - Engineered Interfaces in Fiber Reinforced Composites
P. 165

Chapter 4.  Micromechanics  of  stress transfer   147

                                lm2 I
                                  1
                             tn
                             tn
                                0.8
                             -
                             tn
                             -# 0.6

                             5  0.4
                             n
                             LL
                                0.2
                                  0
                                     0  0.2  0.4       0.6  0.8  1.0






















                                  " 0  0.2  0.4  0.6  0.8  1.0
                             (b)            Axial distance, z/L
               Fig. 4.32. Distributions  of  (a) fiber axial  stress and  (b) interface  shear stress along the axial direction
               obtained from FEM calculations for two fiber volume fraction, V, = 0.03 and 0.6. Symbols as in Fig. 4.3 1.
                                          After Kim et al. (1994b).

               observations appear to be associated with the slightly different boundary conditions
               used in these models.

               4.3.7. Two-M1ay debonding phenomenon

                 In  the  light  of  the  discussion  presented  in  Section  4.3.6,  it  is  seen  that  the
               surrounding composite medium in the three-cylinder composite model acts as a stiff
               annulus  to  suppress  the  development  of  IFSS  at  the  embedded  fiber  end  by
               constraining the radial boundary of the matrix cylinder. This ensures that regardless
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