Acta mathematica scientia, Series B >
NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS
Received date: 2009-09-11
Online published: 2011-05-20
Supported by
September 11, 2009. Supported by NSFC (11071226).
In the use of finite element methods to the planar elasticity problems, one difficulty is to overcome locking when elasticity constant λ→∞. In the case of traction boundary condition, another difficulty is to make the discrete Korn's second inequality valid. In this paper, a triangular element is presented. We prove that this element is locking-free, the discrete Korn's second inequality holds and the convergence order is two.
CHEN Shao-Chun , ZHENG Yan-Jun , MAO Shi-Peng . NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 815 -825 . DOI: 10.1016/S0252-9602(11)60278-6
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