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Dead loading of a unitcube of compressible isotropic elastic material
Authors:R. S. Rivlin  M. F. Beatty
Affiliation:(1) Lehigh University, PA 18015 Betlehem, USA;(2) University of Nebraska-Lincoln, 910215, 40591-0215 Lexington, USA
Abstract:A unit cube of compressible isotropic elastic materialundergoes a homogeneous dilatation by dead loading forces appliedto its faces. Conditions are obtained for stability of theresulting equilibrium state. The physical nature of theseconditions is described and the results are illustrated for acompressible Blatz-Ko foamed rubber material.
Keywords:Stability  Nonlinear elasticty  Compressible elastic material  Incremental moduli  Incompressible limit
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