Page 180 - Engineered Interfaces in Fiber Reinforced Composites
P. 180

162                Engineered interfaces in fiber reinforced composites

                                 h
                                  E 30
                                  E
                                 W
                                 \ 25

                                 5 20
                                  c
                                  Q)
                                 n 15
                                  C
                                  0
                                 II
                                  Q)  10
                                 n
                                      5'      4     I     I     I     I
                                      -
                                        0     2     4    6     81012
                                (4             Number of cycles, N

                                 n
                                  E  30
                                  E
                                     25

                                 5 20
                                  C
                                  Q)
                                 < 15
                                  c
                                  0
                                  II
                                  a,  10
                                  n      I                   1 1'3
                                      El       I    I     I     I     I
                                      -0  2         4    6     8     10  12
                                 (b)           Number of cycles, N

                    Fig. 4.43. Growth of debond length, e, with increasing number of cycles, N, for (a) fiber pull-out and (b)
                              fiber push-out. Initial debond length e= 10mm. After Zhou et al. (1993).


                    the  degradation  of  frictional  properties  at the  interface.  This justifies in part  the
                    adoption  of  the  degradation  function  given  by  Eq.  (4.155),  which  can  be
                    substantiated in experiments by  measuring  the protrusion  (or intrusion) length, 6,
                    under cyclic loading.
                      Figs. 4.44  and 4.45 show the increase in the debond length, C,  and displacement, 6,
                    as a result of the reduction of p (from p,,  = 0.22 to p1 = 0.07) under cyclic loading. It
                    is  interesting  to  note  that  both  C and  6  remain  constant  until  the  coefficient of
                    friction, p, is reduced to a critical value pc (= 0.144 and 0.166, respectively for fiber
                    pull-out and fiber push-out). The implication is that the debond crack does not grow
   175   176   177   178   179   180   181   182   183   184   185