Second-order locking-free nonconforming elements for planar linear elasticity

Authors:
Shaochun Chen;Guobiao Ren;Shipeng Mao
Affiliations:
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China;Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China;LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

In this paper, we present two nonconforming finite elements for the pure displacement planar elasticity problem. Both of them are locking-free and have two order of convergence. Some numerical results attest the validity of our theoretical analysis.