On the extremal properties of Hashin's hollow cylinder assemblage in nonlinear elasticity

Oscar Lopez-Pamies, Joaquín Moraleda, Javier Segurado, Javier Llorca

Research output: Contribution to journalArticle


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.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalJournal of Elasticity
Issue number1
StatePublished - Mar 1 2012
Externally publishedYes



  • Finite strain
  • Microstructures
  • Porous materials

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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