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30 Woven Composites                          117

            bearing tows, which may have been significantly weakened by damage incurred in the
            3D weaving process (see Figure 5.3).  As a result, the tensile strength of a 3D woven
            composite is often  lower than  for  an  equivalent 2D woven composite with a similar
            fibre volume content  (Brandt et al.,  1996; Cox and Flanagan,  1996; Lee et al.,  1992).
            Figure  5.11  presents  a  compilation  of  published  tensile  strength  data  for  3D  woven
            composites with different z-binder contents.  In this figure the tensile strength of a 3D
            woven composite is normalised to the strength of the equivalent 2D laminate.  It is seen
            that the failure strength of 3D woven composites is the same or, more often, less than
            the  strength  of  the  2D  laminate.  It  is interesting  to  note,  however,  that  the  tensile
            strength of a 3D composite is rarely more than 20% lower than the strength of the 2D
            material,  and  furthermore  the  tensile strength  is not  affected  significantly  by  the  z-
            binder  content  for  the  range  plotted  here.  The  lower  tensile  strength of  3D  woven
            composites is due to fibre damage incurred during the weaving process that weakens the
            low-bearing tows (see Figure 5.3), increased fibre waviness, and pinching of the surface
            tows (see Figure 5.4).




                          1600  '800F






                          l0O0t  I

                                        20 Woven Laminate
                           600
                                                3D Woven Composite
                           200

                             0     2    4     6    8     10   12    14
                                          Fibre Waviness (degrees)

            Figure  5.10  Effect  of  in-plane  tow  waviness  on  the  tensile  stress  for  plastic  tow
            straightening.   Representative  tow  straightening  stresses  for  2D  and  3D  woven
            composites are indicated.  The comparison is made for composites with identical fibre
            content (f, = 0.3) and shear strength ( 1T131 = 45 MPa) values.



            Predicting  the  tensile  failure  strength  of  3D  woven  composite  by  micromechanical
            modelling is more difficult than determining the Young's modulus.  This is because the
            extent of  fibre damage,  waviness and crimping are often  not  accurately  known,  and
            therefore it is difficult to predict the tensile stress for tow rupture.  Tan et a1 (2000a,b;
            Tan et a1 2001) measured and predicted the in-plane tensile strengths for both the 3D
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