A locking-free nonconforming triangular element for planar elasticity with pure traction boundary condition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Yang, Yongqin¹  Chen, Shaochun¹ 

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

关键词: Planar elasticity;    Locking-free;    Finite element;   

DOI  :  10.1016/j.cam.2009.11.019

来源: Elsevier

【 摘 要 】

A new nonconforming triangular element for the equations of planar linear elasticity with pure traction boundary conditions is considered. By virtue of construction of the element, the discrete version of Korn's second inequality is directly proved to be valid. Convergence rate of the finite element methods is uniformly optimal with respect to X. Error estimates in the energy norm and L(2)-norm are O(h(2)) and O(h(3)), respectively. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

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