Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications

Pierluigi Cesana, Antonio Desimone

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the interpretation of mechanical experiments. Analytical formulas characterizing the stressstrain response in pure shear are derived, providing an easily testable benchmark for future numerical and experimental investigations on the mechanics of nematic elastomers.

Original languageEnglish
Pages (from-to)787-803
Number of pages17
JournalJournal of the Mechanics and Physics of Solids
Volume59
Issue number4
DOIs
Publication statusPublished - Apr 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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