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140                 Mechanics and analysis of composite materials

             4.2.  Unidirectional orthotropic layer

               A  composite  layer  with  the  simplest  structure  consists of  unidirectional  plies
             whose material coordinates, I, 2, 3, coincide with coordinates of the layer, x, y, z, as
             in Fig. 4.13. An example of such a layer is presented in Fig. 4.14 -principal  material
             axes of an outside circumferential unidirectional layer of a pressure vessel coincide
             with global (axial and circumferential) coordinates of the vessel.

             4.2.1. Linear elastic model

               For the layer under study, constitutive equations, Eqs. (2.48) and (2.53),  yield






                                                                                (4.53)






                                         z,3
                                          t












                                      Fig. 4.13.  An orthotropic layer.


















                              Fig. 4.14.  Filament wound composite pressure vessel.
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