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The Strain-Energy Function for Anisotropic Elastic Materials

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Collected Papers of R.S. Rivlin

Abstract

If we consider a body of perfectly elastic material to undergo deformation in which a point initially at X ′ i in the rectangular Cartesian coordinate system x ′ i moves to x ′ i in the same coordinate system, then the strain-energy function W is a single-valued function of the quantities g ′ ij defined by.

The results presented in this paper were obtained in the course of research sponsored by the Office of Ordnance Research, U. S. Army, under Contract No. DA-19–020–3487 with Brown University.

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Author information

Authors and Affiliations

  1. Brown University, Providence, R. I., USA

    G. F. Smith & R. S. Rivlin

Authors
  1. G. F. Smith
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  2. R. S. Rivlin
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Editor information

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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Smith, G.F., Rivlin, R.S. (1997). The Strain-Energy Function for Anisotropic Elastic Materials. 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_36

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  • DOI: https://doi.org/10.1007/978-1-4612-2416-7_36

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7530-5

  • Online ISBN: 978-1-4612-2416-7

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