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'1   Global
        Mechanical Behaviour of Composites                              185
                                                             axes .




                                         t'                       X











          CJX


                                         I







                        Fig. 3.10  Single thin lamina under plane stress


        In shorthand form, this matrix equation may be written as

                                  (412 = [Tol(~lxy
        where [T,] is called the Stress 'handormation matrix.
          Similar transformations may be made for the strains so that
                                      = [Tal { ;
                                                   }

                              { 4;2}                                  (3.23)
                                               2 YXY
          In each case the stresses in the global directions x, y may also be expressed
        in terms of the local stresses or strains. For example,
                               { 2 } = [Tu]-' { :; }



                                ZxY             512
        where
                                     c2   s2    -2sc
                                 =  s2    c2     2sc
                                    [ sc  -sc  (2-2)
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