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Dead loading of a unit cube of compressible isotropic elastic material

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Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract

A unit cube of compressible isotropic elastic material undergoes a homogeneous dilatation by dead loading forces applied to its faces. Conditions are obtained for stability of the resulting equilibrium state. The physical nature of these conditions is described and the results are illustrated for a compressible Blatz-Ko foamed rubber material.

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Authors and Affiliations

  1. Lehigh University, PA 18015, Betlehem, USA

    R. S. Rivlin

  2. University of Nebraska-Lincoln, 910215, 40591-0215, Lexington, USA

    M. F. Beatty

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  1. R. S. Rivlin
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  2. M. F. Beatty
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Rivlin, R., Beatty, M. Dead loading of a unit cube of compressible isotropic elastic material . Z. angew. Math. Phys. 54, 954–963 (2003). https://doi.org/10.1007/s00033-003-3070-z

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  • DOI: https://doi.org/10.1007/s00033-003-3070-z

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