Publications

Title : Another approach to linearized elasticity and a new proof of Korn's inequality
Year : 2005
Type : paper in peer-reviewed journal
Authors : P. Ciarlet, P. Ciarlet
Abstract : 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.
Themes :
Reference : Mathematical Models and Methods in Applied Sciences - vol. 15(02) (pp 259-271 )