Page 80 - Engineered Interfaces in Fiber Reinforced Composites
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Chapter 3.  Measurements of  interfacelinterlamimar properties   63

             illustrated in Fig 3.16. In interpreting the short beam shear test, the maximum value
             T~~~  (Le. the ILSS of the shear stress distribution  along the thickness direction, is
             related  to the maximum applied load Pmax, and specimen width b and thickness t,
             according to the classic short beam shear relationship
                       3Pmax
                Tmax  = -                                                      (3.10)
                        4bt
               It is easily seen that even in the absence of any substantial bonding at the fiber-
             matrix interface, ILSS of the composite laminate still has a lower-bound value which
             is contributed  solely by  the shear strength  of  the matrix  7,.  For a  brittle matrix
             beam with cylindrical pores (in place of the fibers of volume fraction  vf  in square
             array),  the  lower  bound  ILSS  can  be  estimated  from  zm[l - (4vf/~)~’~], which
             depends strongly on the fiber vf.  This implies that the ILSS cannot be regarded as
             giving  the  genuine  values  of  the  bond  strength.  Nevertheless,  because  of  the
             simplicity of the test method and minimum complication in specimen preparation,
             the short beam shear test has become one of the most popular methods to determine
             the  interlaminar  bond  quality  of  composites containing  both  polymer  and metal
             matrices. It has been most widely used to assess the effects of fiber finish and surface
             treatments, fiber-matrix  compatibility  for the development  of new fiber or matrix
             systems, etc.
               This test has an inherent problem associated with the stress concentration and the
             non-linear plastic deformation induced by the loading nose of small diameter. This
             is schematically illustrated in Fig 3.17, where the effects of stress concentration in a
             thin specimen are compared with those in a thick specimen. Both specimens have the
             same span-to-depth ratio (SDR). The stress state is much more complex than the
             pure  shear  stress  state  predicted  by  the  simple  beam  theory  (Berg  et  al.,  1972;


                                                 P


















                                      p/2              p/2

                        Fig. 3.16. Schematic of loading configuration of short beam shear test.
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