Page 274 - Mechanics Analysis Composite Materials
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Chapter 5.  Mechanics of  laminates          259

          Calculation with the aid of Eqs. (5.79) gives

                                                ,
              $;  = -8.1   ~O-~P, = 1.8 x  ~O-~P
                                E;
          where  P  should  be  substituted  in  kN. Comparison  of  the  obtained  results  with
          experimental data for the cylinder in Fig. 5.21 is presented in Fig. 5.22.
            To  determine  the  stresses,  we  first  use  Eqs. (5.69)  which,  in  conjunction  with
          Eq. (5.75) yield

                                                                            (5.82)

          where  0 < ZI < hl  and  hl < z2  < hl + h?.  Because  (hl + h?)/R = 0.0122  for  the
          cylinder under  study, we can neglect zl/R and z?/R in comparison with unity and
          write

              &(I)  =   - 0                                                  (5.83)
              1'    1'  -E,..



















                         Fig. 5.21.  Experimental composite cylinder in test fixtures.

                                                   P, kN









                            E;,%  -                        E;,%

                                 -0.4   -0.3   -0.2   -0.1   0   0.1

          Fig. 5.22. Dependence of axial (E:)  and circumferential (E!)  strains of a composite cylinder on the axial
                                force: (-)   analysis; (oj experiment.
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