A Nonlinear Korn Inequality Based on the Green-Saint Venant Strain Tensor

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Abstract

A nonlinear Korn inequality based on the Green-Saint Venant strain tensor is proved, whenever the displacement is in the Sobolev space W^{1,p}, p≥2, under Dirichlet conditions on a part of the boundary. The inequality can be useful in proving the coercivity of a nonlinear elastic energy.
Original languageEnglish
Pages (from-to)129-134
Number of pages6
JournalJournal of Elasticity
Volume126
DOIs
Publication statusPublished - 2016

Keywords

  • Coercivity
  • Finite elasticity
  • Geometric rigidity lemma
  • Nonlinear Korn inequality

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