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362                 Mechanics and analysis of composite materials






















              Fig. 7.53.  Residual  strains in a  .tq5  angle-ply filament wound glass+poxy  cylinder, -calculation,  o
                                             experiment.

             where E1  and  Z2  are given by  Eqs. (7.81), B,,  =A,,h,  where A,,  are specified by
              Eqs. (4.72), and h is the cylinder thickness. Results of calculation for experimental
              cylinder studied by Morozov and Popkova (1987) are presented in Fig. 7.53.
                As follows from  Figs. 7.52 and  7.53,  approach  described above and  based  on
             constitutive equations for laminates, Eqs. (7.23), with shrinkage characteristics of a
              unidirectional ply or an elementary layer determined experimentally provides fair
              agreement of predicted results with experimental data.

             7.5.  References

              Anderson,  J.A.,  Mikelsons,  M.Ya.,  Tamuzh,  V.P.  and  Taraschuch,  I.V.  (1991).  Fatigue  failure of
                laminated carbon-fiber-reinforced  plastic. J. Mech. Composite Muter. 27 (I),  74-78.
              Apinis,  R.P.,  Mikelsons,  M.Ya.  and Khonichev,  V.I.  (1991).  Fatigue resistance of carbon material  in
                symmetric tension-compression.  Mech. Composite Mater. 5, 928-930,  (in Russian).
              Barnes, J.A.,  Simms, I.J.,  Farrow, G.J.,  Jackson,  D.,  Wostenholm, G. and Yates,  B.  (1989).  Thermal
                expansion behavior of thermoplastic composite materials.  In Proc. Am.  Soc. for Composite Mater.,
                Fourth Tech. Conf., Blacksburg, Virginia. Technomic Publ. pp.  717-725.
              Ha,  S.K.  and  Springer,  G.S.  (1987).  Mechanical  properties of graphite epoxy composites  at elevated
                temperatures.  In Proc. 6th Int.  Conf. on  Composite Materials  (ICCM-6), July  1987, Vol.  4,  (F.L.
                Matthews et al. eds.),  Elsevier Applied Science, London, pp. 422430.
              Hamilton,  J.G.  and  Patterson,  J.M.  (1993).  Design  and  analysis of  near-zero  CTE  laminates and
                application to spacecraft.  In Proc. 9th hi. Con$  on Composite Materials  (ICCMI9), Madrid, 12-16
                July,  Vol.  6,  Composite  Properties and Applications,  Univ.  of Zaragoza,  Woodhead  Publ.  Ltd.,
                pp.  108-119.
              Hyer,  M.W.  (1989).  Mechanics  of Unsymmetric Laminates. Handbook  of Composites, Vol. 2, Structure
                and Design. (C.T. Herakovich and Yu.M.  Tarnopol’skii  eds.)  Elsevier Applied Science, pp.  861 14.
              Limonov, V.A.  and Anderson, J.A.  (1991).  Effect of stress ratio on the strength of organic plastics. J.
                Mech. Composite Mater. 27 (3), 276-283.
              Milyutin, G.I., Bulmanis, V.N.,  Grakova, T.S., Popov, N.S.and Zakrzhevskii, A.M. (1989).  Study and
                prediction  of  the  strength characteristics  of  a  wound  epoxy organic-fiber  plastic  under  different
                environmental effects. J. Mech. Composite Mater. 25 (2).  183-189.
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