Page 125 - Engineered Interfaces in Fiber Reinforced Composites
P. 125

IO8               Engineered interfaces in fiber reinforced  composites
                                       11
                                                               P = 0.5
                                          -
                                      0.8
                                  Y
                                 =.e      .
                                      0.6
                                  5
                                   P
                                  u   0.4   -
                                  2
                                   0
                                  P  0.2   .
                                  E
                                       n-
                                       v
                                         0    0.1   0.2  0.3  0.4   0.5   0.6
                                                Applied stress  fJa  (GPa)

                    Fig. 4.8. Variations of debond length, e, as a function of applied  stress, ua, for different coefficients of
                        friction, p, for a XAIOO carbon fiber-epoxy  matrix composite. After Zhou et al. (1995a, b).


                                       r                  1
                                                                                      (4.48)



                    for the fully bonded  interface, and


                                                                                      (4.49)



                    for the  partially  debonded  interface.  The mean  fiber  fragment  lengths,  (2L), are
                    compared  between  the  theoretical  predictions  and  experimental  results  for  the
                    carbon  fiber-epoxy  matrix  composites  with  two  different  levels of  fiber  surface
                    treatments as shown in Fig. 4.9. It is noted that when the applied stress, oa, is greater
                    than  a  critical  value  that  corresponds  to  the  initial  debonding,  the  mean  fiber
                    fragment length (2L) consists of two components: namely the bond length and the
                    debond length. As aa is increased, the debond length gradually increases towards an
                    asymptotic value, whereas the  bond  length  drops dramatically to  a plateau  value
                    within a narrow range of applied stress. Therefore, the contribution  of the debond
                    length to the mean fiber fragment length becomes increasingly more important with
                    increasing a,.
                      For both composites good agreement is obtained between theory and experiment
                    over the whole range  of  ca. Two major  differences can be  identified between  the
                    composites  of  two different fiber surface treatments:  shorter mean  fiber fragment
                    length and shorter debond length at a given aa for the XA  100 fibers (Fig. 4.9(b))
                    than for the XA  1 fibers (Fig.  4.9(a)). This implies that a  higher level of  surface
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