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Stitched Composites                        187
            to the toughness of the equivalent unstitched laminate (G,,). The figure shows a general
            increase to the interlaminar fracture toughness with  increasing stitch density.  A  few
            outlying data points show that the delamination resistance can be improved by over 30
            times  by  stitching  with  exceptionally  thick,  strong  threads.  For  most  composites,
            however, stitching increases the delamination resistance by a factor of up to 10-15. This
            compares favourably with other types of 3D composites that have interlaminar fracture
            toughness properties that are up to 20 times higher than the equivalent 2D laminate.
               A  number  of  micromechanical  models  have  been  proposed  to  determine  the
            improvement to the mode I interlaminar fracture toughness properties of composites due
            to stitching.  Of the models, there are two models proposed by Jain and Mai that have
            proven the most accurate (Jain and Mai, 1994a, 1994b, 1994~). Both models are based
            on Euler-Bernoulli linear-elastic beam theory applied to a stitched composite with  the
            double cantilever beam (DCB) geometry, as illustrated in Figure 8.22.  The models can
            be used to caIculate the effect of various stitching parameters (eg. stitch density, thread
            strength, thread diameter) on the R-curve behaviour and  GIR value of any laminated
            composite.
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                                         -     Stitch Rupture  I
                                                      I
                                                  I
                                                I
                                                    I
                                                I  I  I  I  I




                                              (a>





                                              I  I  I  I  I
                                             Stitch Pull-Out
                                              IIIII









            Figure 8.22 The DCB specimen geometry used as the basis for the Jain and Mai model
            for mode I  interlaminar fracture toughness of stitched composites.  Models have been
            developed for the cases where the stitches (a) rupture along the delamination crack path
            (continuous stitching model) and (b) failure at the surface and then pull-out from the
            composite (discontinuous stitching model) (From Jain and Mai, 1997).
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