Page 160 - Engineered Interfaces in Fiber Reinforced Composites
P. 160

142               Engineered interfaces in jiber reinforced composites




























                                   m  t
                                   n 3
                                   n
                                   (3'2


                                      1



                                      n
                                      "0     10  20  30  40  50  60
                                   (b)                 L (mm)

                     Fig. 4.28. Comparisons between experiments and theory of (a) maximum debond stress, CJ:, and (b) initial
                     frictional  pull-out  stress for  Sic fiber-glass  matrix  composites: (0) untreated  fibers; (0) acid treated
                                              fibers. After Kim et al. (1992).


                                                                                      (4.115)


                     Based on Lame's  solution, the relationship between the IFSSs is taken as

                        q(b,z) =-Ti(.,.) by2   ,                                      (4.116)
                                UYl
                     where y2 = a2/(B2 - a2). The additional  radial  stress, q2(arz), acting at the fiber-
                     matrix interface, which is caused by Poisson contraction of the fiber when subjected
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