An exact result for the macroscopic response of porous neo-hookean solids

Oscar Lopez-Pamies, Martín I. Idiart

Research output: Contribution to journalArticle

Abstract

Making use of the particulate microgeometries of Idiart (J. Mech. Phys. Solids 56:2599-2617, 2008), we derive an exact and closed-form result for the macroscopic response of porous Neo-Hookean solids with random microstructures. The stored-energy function is a solution to a Hamilton-Jacobi equation with initial porosity and macroscopic deformation gradient playing the roles of time and space. The main theoretical and practical aspects of the result are discussed.

Original languageEnglish (US)
Pages (from-to)99-105
Number of pages7
JournalJournal of Elasticity
Volume95
Issue number1-2
DOIs
StatePublished - Apr 1 2009
Externally publishedYes

Keywords

  • Finite strain
  • Homogenization methods
  • Polyconvexity
  • Porous materials

ASJC Scopus subject areas

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

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