2005, 2005(Special): 181-189. doi: 10.3934/proc.2005.2005.181

Locking-free nonconforming finite elements for planar linear elasticity

1. 

Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156, United States, United States

2. 

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, United States

Received  September 2004 Revised  February 2005 Published  September 2005

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.
Citation: Zhangxin Chen, Qiaoyuan Jiang, Yanli Cui. Locking-free nonconforming finite elements for planar linear elasticity. Conference Publications, 2005, 2005 (Special) : 181-189. doi: 10.3934/proc.2005.2005.181
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