A Locking-Free Scheme of Nonconforming Rectangular Finite Element for the Planar Elasticity

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Abstract

In this paper, the authors present a locking-free scheme of the lowest order nonconforming rectangle finite element method for the planar elasticity with the pure displacement boundary condition. Optimal order error estimate, uniformly for the Lamé constant $\lambda\in(0,\infty)$ is obtained. 

Keywords:

Locking-free Planar elasticity Nonconforming finite element method.
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A Locking-Free Scheme of Nonconforming Rectangular Finite Element for the Planar Elasticity. (2004). Journal of Computational Mathematics, 22(5), 641-650. https://www.global-sci.com/index.php/JCM/article/view/11661