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44                Engineered interfaces in jber reinforced composites
                    3.2.  The mechanical properties of fiber-matrix  interfaces

                    3.2.1. Introduction

                      Test methods using microcomposites include the single fiber compression test, the
                    fiber fragmentation  test, the fiber pull-out  test, the fiber push-out  (or indentation)
                    test and the slice compression test. These tests have a variety of specimen geometries
                    and scales involved. In these tests, the bond quality at the fiber-matrix  interface is
                    measured in  terms  of  the  interface  fracture  toughness,  Gi,,  or the interface  shear
                    (bond)  strength  (IFSS),  Zb,  for  the  bonded  interface;  and  the  interface  frictional
                    strength (IFS), qr, which is a function of the coefficient of friction, 1.1,  and residual
                    fiber  clamping  stress,  40, for  the  debonded  interface.  Therefore,  these  tests  are
                    considered to provide direct measurements of interface properties relative to the test
                    methods based on bulk composite specimens.
                      Microcomposite  tests  have  been  used  successfully  to  compare  composites
                    containing  fibers  with  different  prior  surface  treatment  and  to  distinguish  the
                    interface-related  failure  mechanisms.  However,  all  of  these  tests  can  hardly  be
                    regarded as providing absolute values for these interface properties even after more
                    than 30 years of development of these testing techniques. This is in part supported
                    by  the incredibly large data scatter that is discussed in Section 3.2.6.



                    3.2.2.  Single jiber compression test

                      The  single fiber compression  test  is one of  the earliest  test  methods  developed
                    based  on  microcomposites  to  measure  the  bond  strength  of  glass  fibers  with
                    transparent polymer matrices (Mooney and McGarry, 1965). Two different types of
                    specimen geometry  are used depending on the modes  of failure that occur at the
                    fiber-matrix  interface: one has a long hexahedral shape with a uniform cross-section
                    (Fig 3.1(a));  the  other  has  a  curved  neck  in  the  middle  (Fig 3.1(b)). When  the
                    parallel-sided  specimen  is  loaded  in  longitudinal  compression,  shear  stresses are
                    generated  near  the  fiber  ends  as  a  result  of  the  difference in  elastic  properties
                    between the fiber and the matrix, in a manner similar to the stress state occurring in
                    uniaxial tension. Further loading eventually causes the debond crack to initiate from
                    these regions due to the interface shear stress concentration (Le., shear debonding).
                    The  curved-neck  specimen  under  longitudinal  compression  causes  interface
                    debonding to take place in the transverse  direction @e. tensile debonding) due to
                    the transverse expansion of the matrix when its Poisson ratio is greater than that of
                    the fiber. The equations used to calculate the interface bond strengths in shear, Tb,
                    and under tension,  Qb,  are (Broutman,  1969):
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