A new I1-based hyperelastic model for rubber elastic materials

Research output: Contribution to journalArticlepeer-review


In this Note, we propose a new hyperelastic model for rubber elastic solids applicable over the entire range of deformations. The underlying stored-energy function is a linear combination of the I1-based strain invariants φ (I1 ; α) = (I1α - 3α) / (α 3α - 1), where α is a real number. The predictive capabilities of the model are illustrated via comparisons with experimental data available from the literature for a variety of rubbery solids. In addition, the key theoretical and practical strengths of the proposed stored-energy function are discussed.

Original languageEnglish (US)
Pages (from-to)3-11
Number of pages9
JournalComptes Rendus - Mecanique
Issue number1
StatePublished - Jan 2010
Externally publishedYes


  • Finite strain
  • Non-Gaussian elasticity
  • Polyconvexity
  • Solids and structures

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials


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