Page 75 - Engineered Interfaces in Fiber Reinforced Composites
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58                Engineered interfaces in fiber reinforced Composites
                    where i?  = 2EfS/of is the debonded length estimated  from the displacement  of  the
                    fiber end, 6, at an average external stress, bf, applied to the fiber.
                      In  contrast  to  the  thick  specimens used  in  the  above  studies,  very  thin  slice
                    specimens of known embedded fiber lengths (Fig 3.12(c)) are also employed (Bright
                    et  al.,  1989) to distinguish  debonding  and  post-debond  frictional  push-out  in  a
                    continuous  loading  test.  The  latter  fiber  push-out  technique  has  become  most
                    popular  in recent  years  among the variations  of  specimen geometry  and loading
                    methods. Rigorous micromechanics analyses dealing with interface debonding and
                    fiber push-out responses are detailed in Chapter 4.
                      The above test techniques have been developed initially and used extensively for
                    polymer matrix composites (Grande et al.,  1988; Herrera-Franco and Drzal,  1992;
                    Desaeger  and Verpoest,  1993; Chen  and  Croman,  1993). Its usefulness has  been
                    extended to ceramic matrix composites (Grande et al.,  1988; Brun and Singh, 1988;
                    Netravali et al., 1989a, b; Morscher et al.,  1990; Weihs and Nix,  1991; Wang et al.,
                    1992; Watson and Clyne, 1992a, b; Ferber et al., 1993) where difficulties of specimen
                    preparation  and  testing  associated  with  fiber  misalignment,  breakage  of  high
                    modulus fibers in grips, etc. are frequently experienced in fiber pull-out tests. Other
                    major  advantages  include  the  ability  to  test  real  composites  and  the  speed  and
                    simplicity of  the  test,  once  automated  instruments  are equipped  with  the  testing
                    machine. The main questions associated with this test method are concerned with its
                    physical significance and the interpretation  of experimental data. Other drawbacks
                    are the inability to monitor the failure process during the test of opaque composites;
                    problems  associated  with  crushing  and splitting of  fibers by  the  sharp indentor
                    under  compression  (Desaeger  and Verpoest,  1993); and radial  cracks  within  the
                    matrix near the fiber-matrix  interface (Kallas et al.,  1992).

                    3.2.6.  Slice  compression test

                      The slice compression test is a modified version of the indentation  test  and was
                    developed specifically for ceramic matrix composites utilizing the difference in elastic
                    modulus between the fiber and the matrix material.  This test involves compression
                    of a polished slice of a unidirectional fiber composite cut perpendicularly to the fiber
                    axis between two plates (Fig 3.13). The applied load is increased to a desired peak
                    stress  and then  unloaded.  At  the  critical  load,  interfacial  debonding  and sliding
                    occur  near  the  top surface  of  the  specimen where  the  elastic  mismatch  is  at its
                    maximum  and the fibers protrude  against  the soft top plate  (e.g. pure aluminum)
                    with  known  work-hardening  characteristics.  At  the  same  time,  the  hard  bottom
                    plate (e.g. Si3N4) ensures a constant strain in the specimen bottom. Upon removing
                     the  load,  the  fibers  partially  relax  back  into  the  matrix,  retaining  a  residual
                    protrusion. Fig 3.14 schematically shows the sequence of the slice compression test
                    based  on a  single fiber model  composite (Hsueh,  1993). Therefore, the  interface
                    properties can be estimated from the fiber protrusion, 6, under a peak load and the
                     residual  fiber  protrusion  after  unloading,  6,.  Shafry  et  al.,  (1989)  derived
                     approximate  solutions  for  the  relationship  between  the  fiber  protrusion  length
                     and the  applied  stress for a  constant  interface  friction  along  the embedded  fiber
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