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Locking-free nonconforming finite elements for planar linear elasticity

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  • In this paper we introduce a nonconforming finite element method for a planar linear elasticity problem. We show that this nonconforming method is robust in that error estimates generated by it are uniform with respect to one of the Lamé elasticity constants, $\l$; i.e., it is locking-free. Applications to nonconforming $P_1$ and rotated $Q_1$ finite elements are discussed.
    Mathematics Subject Classification: 65N30, 65N22; Secondary: 65F10.

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