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Chapter 4.  Mechanics of a composite layer      185








                                                                            I









                          Fig. 4.55. Two symmetric plies forming an angle-ply layer.













                    Fig. 4.56. Angle-ply layer of a filament wound shell. Courtesy of CRISM.


          4.5.1. Linear elastic model

            Consider two symmetric systems of unidirectional  anisotropic plies (see Section
          4.3) consisting of the same number of plies, made of one and the same material and
          having alternating angles +4 and -4. Then, the total stresses a,,  a,, and zxy acting
          on the layer can be expressed in terms of corresponding stresses acting in the +4
          and -4  plies as



                                                                            (4.125)



          where h is the total thickness of the layer. Stresses with superscripts ‘ + ’ and ‘-’ are
          linked with strains E,,  E,,,  and y.Tl, which are assumed to be the same for all the plies
          by Eqs. (4.71), Le.,


                                                                            (4.126)
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