Paraboloidal Shells of Revolution

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 18)


De Silva [17.28] has considered the problem of axisymmetric loading of thin elastic paraboloidal shells of revolution which includes the effect of transverse shear deformation by using equations developed by Naghdi [19.1]. The transverse shear deformation is accounted for due to thickness considerations, and the material system considered is isotropic. That differs from the present theory which accounts for transverse shear deformation because of the large Eø/Gøξ and Eθ/Gθξ ratios involved with many composite materials although the shell is geometrically thin. Therefore, the two theories are not identical.


Composite Material Internal Pressure Present Theory Complex Constant Elastic Shell 
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  1. 19.1.
    Naghdi, P. M., “The Effect of Transverse Shear Deformation on the Bending of Elastic Shells of Revolution”, Quarterly Journal of Applied Mathematics, 15, pp. 41–52, 1957.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Department of Mechanical Engineering and the Center for Composite MaterialsUniversity of DelawareNewarkUSA

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