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Stitched Composites                        199
            improving the compression-after-impact strength.  A model proposed by  Cox (2OOO)
            states  that  the  critical  uniaxial  compressive  stress  needed  to  induce  sublaminate
            buckling within a stitched composite containing a single delamination can be expressed
            by:






            where c, is the area fraction of stitches, E,  is the Youngs modulus of the stitches, E, is
            the Youngs modulus of  the composite in the load direction, h  is the thickness of the
            delaminated layer, and t is the thickness of the entire laminate.  This equation shows
            that the buckling stress increases with the area fraction of  stitching, and this explains
            why stitched composites usually have higher compression-after-impact strengths than
            the unstitched laminate.  Equation 8.10 also reveals that the compression-after-impact
            strength can be improved by using stitches having a high modulus.







                   -5    L  -
                      320
                    ?2
                   G  300  -
                   2
                    2 280
                   -      -
                    %  260
                   7     -
                    s 240
                   .-
                    3    -
                    2  220
                    E






            Figure 8.33 Effect of  impact energy on  the compression-after-impact strengths of  a
            stitched and unstitched carbodthermoplastic composite (Data from Rossi, 1989).


            8.5.2  Ballistic Impact Damage Tolerance
            The  potential  use  of  stitched  composites  in  military  aircraft  and  helicopters  has
            prompted an assessment of their impact damage tolerance to ballistic projectiles such as
            bullets (Kan and Lee, 1994; Keith, 1999; Mouritz, 2001).  Ballistic projectiles travel at
            velocities between 450 and  1250 m/s  and easily perforate thin composite laminates and
            cause extensive delamination damage around  the bullet  hole.  Stitching has proven
            effective  in  reducing  the  amount  of  delamination  damage  caused  by  a  ballistic
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