Chapter

Complementarity, Duality and Symmetry in Nonlinear Mechanics

Volume 6 of the series Advances in Mechanics and Mathematics pp 149-165

Bifurcation Analysis of Shallow Spherical Shells with Meridionally Nonuniform Loading

  • Charles G. LangeAffiliated withDepartment of Mathematics, University of California
  • , Frederic Y. M. WanAffiliated withDepartment of Mathematics, University of California

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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.