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Mechanical Behaviour of Composites                              21 1





















                                 Fig. 3.22  Ten ply laminate

                            [;;I   EX   =a. [ NX  =a. [3
                                      ;
                                     ;
                                    I
         Then
                                                        *h
         where h = full laminate thickness = 10 mm, and a = A-’  since [B] = 0.
         This matrix equation gives the global strains as
               Ex = 5.24             = 1.33 x          eXy = 2.08  10-~

          Also,
                                                             1
                             1
                                     E, = -
                     E,  = -                 1       Gxy = -
                          all *  h’       a22 -  h’        a66.h
                                    -a12           -a12
                                        ,
                              Vxy = - up=-
                                     all            a22
               E, = 49.7 GN/m2,     E, = 12.8 GN/m2,    Gxy = 24 GN/m2
                               uXy = 1.149   U~  = 0.296

          It  may be seen that  these values agree with  those calculated in the previous
          Example. To get the stresses in the global (xy) directions for the ‘f’th ply






          when f = 1, f =2, f =9 and f = 10
               ax = 4.5 MN/m2,  a, = -11.3  MN/m2,   txy = -0.28  MNlm2
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