Large Elastic Deformations of Isotropic Materials

II. Some Uniqueness Theorems for Pure, Homogeneous Deformation
  • R. S. Rivlin


The equilibrium of a cube of incompressible, neo-Hookean material, under the action of three pairs of equal and oppositely directed forces f 1, f 2, f 3, applied normally to, and uniformly distributed over, pairs of parallel faces of the cube, is studied. It is assumed that the only possible equilibrium states are states of pure, homogeneous deformation.


Equilibrium State Stress Component Isotropic Material Stable Equilibrium Homogeneous Deformation 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • R. S. Rivlin
    • 1
  1. 1.British Rubber Producers’ Research AssociationWelwyn Garden CityUK

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