# American Institute of Mathematical Sciences

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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