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Large Elastic Deformations

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Collected Papers of R.S. Rivlin

Abstract

In a previous chapter, the foundations of the classical theory of elasticity have been presented. It is concerned with the description and explanation in terms of a unified theory of the relations which are observed between load and deformation for elastic solids of various shapes, sizes, and compostions. The elastic character of the materials to which the theory is applicable may be loosely described as follows: If a body of elastic material is subjected to a load, it will be deformed and on the removal of the load will regain its initial dimensions and shape. In the concept of the elastic solid is also contained the assumption that the mechanical system constituted by an elastic solid and a system of forces applied to it is a system in which energy is conserved. The work done by the applied forces during the iso thermal deformation of the body is balanced by potential energy stored in the elastically deformed body and the kinetic energy of the various parts of the body and the members through which the deforming forces are applied.

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Authors
  1. R. S. Rivlin
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Editors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, UK

    Grigori Isaakovich Barenblatt (G.I. Taylor Professor of Fluid Mechanics, Emeritus) (G.I. Taylor Professor of Fluid Mechanics, Emeritus)

  2. Department of Aerospace Engineering, 107 Ackerman Hall, University of Minnesota, 110 Union Street, SE, Minneapolis, MN, 55455, USA

    Daniel D. Joseph

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© 1997 Springer Science+Business Media New York

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Rivlin, R.S. (1997). Large Elastic Deformations. In: Barenblatt, G.I., Joseph, D.D. (eds) Collected Papers of R.S. Rivlin. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2416-7_23

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  • DOI: https://doi.org/10.1007/978-1-4612-2416-7_23

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7530-5

  • Online ISBN: 978-1-4612-2416-7

  • eBook Packages: Springer Book Archive

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