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114                   30 Fibre Reinforced Polymer Composites

                 woven  composite is  normalised  to the  modulus  of  the equivalent  20 laminate.  It is
                 important  to  note,  however,  that  the  2D  laminate  is  not  always  exactly  equivalent
                 because the fibre contents of the 3D and 2D composites being compared are rarely the
                 same, and often differ by several percent.  With the exception of a few outlying values,
                  it is seen in Figure 5.8  that the Young's  modulus of a 3D composite is always within
                 20% of the modulus of the 2D laminate.  Only rarely is the stiffness of a 3D composite
                 higher or lower by more than 20%. Figure 5.8 also shows that the Young's modulus of
                 a 3D woven composite is not influenced significantly by the z-binder  content or fibre
                  structures (ie. orthogonal  vs. interlock).  The reason for the higher Young's modulus of
                  some 3D woven  composites  is probably due to a slightly higher fibre content than the
                  'equivalent'  2D laminate. The lower modulus of the other 3D woven composites is due
                  to higher fibre waviness of the load-bearing yarns caused by the z-binder.


                              r








                       -
                       a,
                       .-
                         0.75  A
                       a,                                                   0
                       I-               A
                       U      -          I 3D Orthogonal CarbonEpoxy (Chen et al.,  1993)
                       .-  -             0  3D Interlock CarbodEpoxy (Ding et al., 1993)
                       %  0.50
                       (d                0  3D Orthogonal Glas/Epoxy (Arendts et al.,  1989)
                       E,
                       5 0.25  -         0  3D Interlock Glass/Epoxy (Arendts et at.,  1989)
                                         A  3D Orthogonal GlassNinyl Ester (Lee et al., 2002)
                                         A  30 Interlock KevlarEpoxy (Guess and Reedy, 1985)
                         0.00'   '   I   '   I   '   I   "  I  I   '   I   '   I   "  J
                                                                                *
                                                     '

                  Figure 5.8 Plot of normalised Young's  modulus against z-binder content for various 3D
                  woven composites.


                  The  micromechanical  models  described  in  Chapter  4  can  be  used  to  accurately
                  determine  the Young's  modulus of 3D woven composites.  Even the simplest  models,
                  such  as  the  rule-of-mixtures,  provide  good  estimates  of  modulus.  As  an  example,
                  Figure 5.9 gives a comparison of the measured modulus for different types of 3D woven
                  composite against the theoretical modulus calculated using rule-of-mixtures.  It is seen
                  that the agreement between the experimental and theoretical modulus values are within
                  10% in all cases.
                     Tan et a1 (2000a) measured the in-plane Young's  moduli and Poisson's ratio for the
                  3D orthogonal  woven  CFRP composites  as  shown  in  Figure  5.6.  Table 5.1 gives  a
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