Uniqueness of equilibrium solutions in second-order gradient nonlinear elasticity

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Abstract

We consider a three-dimensional elastic body whose material response function depends not only on the gradient of the deformation, but also on its second gradient. Using the elastic energy-momentum tensor as derived by Eshelby 2 we generalize a well-known uniqueness result of Knops and Stuart 8 for a Dirichlet boundary value problem associated with this response function.

Original languageEnglish (US)
Pages (from-to)99-107
Number of pages9
JournalJournal of Elasticity
Volume74
Issue number2
DOIs
StatePublished - Feb 1 2004

All Science Journal Classification (ASJC) codes

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

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