Page 122 - Engineered Interfaces in Fiber Reinforced Composites
P. 122

Chapter 4.  Micromechanics of stress transfer   105

                                                z=-L           24
                                                 I              I
                                     cia=

                                        c-
                                                 y              I  I  I






















                Fig. 4.7. Distributions of (a) fiber axial stress, uf, (b) matrix axial stress, umz, and (c) interface shear stress.
                          q, along half the embedded fiber length, L, in the fiber fragmentation test.


                Table 4.2
                Interface properties of carbon fiberxpoxy matrix composites and Weibull parameters of carbon fibersa.

                Interface properties   XA I   Gi, = 13 J/m2   40 = 8.4MPa   p = 0.8
                                 XAlOO      Gi,  = 37 J/m2   40 = 8.4MPa    p = 1.25
                                                  =
                Weibull parameters   XA1    c~s(2h) 2.45GPa   2L,, = 12mm   m = 3.6
                                 XAIOO      cn(2h) = 2.64GPa   2150 = 12mm   in = 4.6
                "Zhou et al. (1994)


                integrating  the  stress  components  acting  in  the  constituents  over  the  volume  of
                respective regions:

                    ut  = UCJ + ub  ,







                                                                                  (4.36)
   117   118   119   120   121   122   123   124   125   126   127