NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS

doi:10.1016/S0252-9602(11)60278-6

Abstract

Abstract:

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.

Key words: planar elasticity problems, pure displacement and traction boundary conditions, nonconforming finite element, discrete Korn’s second inequality

CLC Number:

65N30

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.

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