Abstract:

The main aim of this article is to study the approximation of a locking-free
anisotropic nonconforming finite element for the pure displacement boundary value problem of planar linear elasticity. The optimal error estimates are obtained by using some novel approaches and techniques. The method proposed in this article is robust in the sense that the convergence estimates in the energy and L²-norms are independent of the Lame parameter λ.

Key words: Locking-free, planar linear elasticity, anisotropic nonconforming finite element, optimal error estimates