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

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• 作者：Yongqin Yang ; Shaochun Chen
• 关键词：Planar elasticity ; Locking-free ; Finite element
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2010
• 出版时间：15 March 2010
• 年：2010
• 卷：233
• 期：10
• 页码：2703-2710
• 全文大小：546 K

文摘

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 λ. Error estimates in the energy norm and L²-norm are O(h²) and O(h³), respectively.