Page 138 - Mechanics Analysis Composite Materials
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Chapter 4.  Mechanics of a composite  layer     123













            Fig. 4.4.  Filament wound composite pressure vessel with a polyethylene liner. Courtesy of CRISM.



















                                     Fig. 4.5. An isotropic layer.


          where E  is  the  modulus  of  elasticity,  v  the  Poisson’s  ratio,  and  G  is  the  shear
          modulus  that  can  be  expressed  in  terms  of  E  and  v  with  Eq. (2.57).  Adding
          Eqs. (4.1) for normal strains, we  get

                   1
              Eo  =-Go  ,
                  K
          where




          is  the  volume  deformation.  For  small  strains,  volume  dq  of  an  infinitesimal
          material  element after  the  deformation  can be found  knowing volume d V  before
          the deformation and & as




          Volume deformation is linked with the mean stress
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