On the Extremal Properties of Hashin’s Hollow Cylinder Assemblage in Nonlinear Elasticity |
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Authors: | Oscar Lopez-Pamies Joaquín Moraleda Javier Segurado Javier Llorca |
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Institution: | 1. Department of Mechanical Engineering, State University of New York, Stony Brook, NY, 11794-2300, USA 2. Department of Materials Science, Polytechnic University of Madrid & Madrid Institute for Advanced Studies of Materials (IMDEA Materials Institute), C/ Profesor Aranguren s/n, 28040, Madrid, Spain
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Abstract: | Counterexamples are given of 2D isotropic porous nonlinear elastic solids whose responses under hydrostatic loading are stiffer
than that of the corresponding hollow cylinder assemblage. In addition to disproving existing conjectures in the literature,
the results serve to illustrate that radially symmetric deformation—contrary to common belief—is not necessarily the stiffest
possible deformation mechanism to accommodate hydrostatic loading. Instead, depending on the growth conditions of the material
at hand, other types of deformations may lead to stiffer responses. |
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