Another approach to linearized elasticity and a new proof of Korn's inequality

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Original languageEnglish
Pages (from-to)259-271
Journal / PublicationMathematical Models and Methods in Applied Sciences
Issue number2
Publication statusPublished - 2005


We describe and analyze an approach to the pure traction problem of three-dimensional linearized elasticity, whose novelty consists in considering the linearized strain tensor as the "primary" unknown, instead of the displacement itself as is customary. This approach leads to a well-posed minimization problem, constrained by a weak form of the St Venant compatibility conditions. Interestingly, it also provides a new proof of Korn's inequality.

Research Area(s)

  • Korn's inequality, St Venant compatibility conditions, Three-dimensional linearized elasticity