Another approach to linearized elasticity and Korn's inequality

Patrick Ciarlet Jr. and Philippe G. Ciarlet
Publication type:
Paper in peer-reviewed journals
Comptes Rendus Mathematique, vol. 339(4), pp. 307-312
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. It also provides a new proof of Korn's inequality.
    author={Patrick Ciarlet and Philippe G. Ciarlet },
    title={Another approach to linearized elasticity and Korn's 
           inequality },
    doi={10.1016/j.crma.2004.06.021 },
    journal={Comptes Rendus Mathematique },
    year={2004 },
    volume={339(4) },