Axisymmetric Equilibria of Cosserat Shells

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


In this section we show how easy it is to formulate geometrically exact theories for the axisymmetric deformation of shells that can suffer flexure, mid-surface extension, and shear. These are the equations we shall analyze in the next few sections. We limit our attention here to statics, deferring to Chap. XIV the general formulation of dynamical equations for problems lacking symmetry. Our approach imitates that of Sec. IV.1. We define a plate to be a shell with a flat natural configuration. From the viewpoint of large deformations, there is little to distinguish the two theories.


Singular Point Phase Portrait Reference Configuration Isotropic Plate Nodal Property 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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