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Large Elastic Deformations of Isotropic Materials. I. Fundamental Concepts

  • R. S. Rivlin

Abstract

The mathematical theory of small elastic deformations has been developed to a high degree of sophistication on certain fundamental assumptions regarding the stress-strain relationships which are obeyed by the materials considered. The relationships taken are, in effect, a generalization of Hooke’s law—ut tensio, sic vis. The justification for these assumptions lies in the widespread agreement of experiment with the predictions of the theory and in the interpretation of the elastic behaviour of the materials in terms of their known structure. The same factors have contributed to our appreciation of the limitations of these assumptions.

Keywords

Isotropic Material Simple Shear Incompressible Material Undeformed State Homogeneous Strain 
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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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