Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading

  • Charles G. Lange
  • Frederic Y. M. Wan
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 6)

Abstract

Numerical solutions of the relevant boundary value problem suggest that the first bifurcation from the basic solution for a spherical cap under a class of meridionally nonuniform loading is to a dimple state. Delicate asymptotic analysis of the linearized buckling problem confirm this observation.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Charles G. Lange
    • 1
  • Frederic Y. M. Wan
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaIrvineUSA

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