Poisson's ratio for anisotropic elastic materials can have no bounds

T. C.T. Ting, Tungyang Chen

Research output: Contribution to journalArticlepeer-review

176 Citations (Scopus)

Abstract

Poisson's ratio for isotropic elastic materials is bounded between -1 and 1/2. It is shown that Poisson's ratio for anisotropic elastic materials can have an arbitrarily large positive or negative value under the prerequisite of positive definiteness of strain energy density. The large Poisson's ratio for cubic materials is physically realistic because the strains are bounded.

Original languageEnglish
Pages (from-to)73-82
Number of pages10
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume58
Issue number1
DOIs
Publication statusPublished - 2005 Feb

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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