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

✍ Scribed by Yongqin Yang; Shaochun Chen

• Book ID: 104006973
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 546 KB
• Volume: 233
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.11.019

✦ Synopsis

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 L 2 -norm are O(h 2 ) and O(h 3 ), respectively.