Page 126 - Engineered Interfaces in Fiber Reinforced Composites
P. 126

Chapter 4. Micromechanics of stress transfer     109

                                   6

                                   5-
                                   4-

                                   3-

                                   2-
                                   1-

                                              ..........  ...............................................
                               (4          Applied stress  u,  (GPa)

                               E  . 7,
                               -6 ‘1  ,













                                                      .   . ..I ................
                                            0.05     0.1      0.15
                              (b)          Applied stress  0, (GPa)

               Fig. 4.9. Comparisons of mean fiber fragment length, 2L, as a function  of applied stress, uar between
               experiments and theory for carbon fiber-epoxy matrix composites with (a) XAI fiber and (b) XAlOO fiber:
                     (0) experiment; (-)   prediction (-------) debond length. After Zhou et al. (1995a, b).


               treatment  (on  the  XA  100 fibers)  gives  a  stronger  interface  bond  with  shorter
               debond  length. The  strong interface bond  in  turn  permits  efficient stress transfer,
               causing the FAS to reach more easily the tensile strength of the fiber (and eventual
               fiber  fracture). The  average length  of  fractured  fiber segments at a  given  applied
               stress is a measure of efficiency of stress transfer across the fiber-matrix  interface in
               the fiber fragmentation  test.  The above  observations  regarding  the different fiber
               fragmentation  response for the composites with different fiber surface treatments
               confirm  that  the  interface  properties  influence  significantly  the  fiber  fragment
               behavior, as opposed to the suggestion of the dominant role of the Young’s modulus
               ratio  in  determining  the  critical  transfer  length  (see  Section  3.2.3).  Another
               important implication is that, since there are debonded regions of substantial lengths
               at both ends of the fiber, the efficiency of  stress transfer  at the interface cannot be
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