Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
Year: 2016
Author: Yanhong Bai, Yongke Wu, Xiaoping Xie
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 399–425
Abstract
This paper derives a higher order hybrid stress finite element method on quadrilateral meshes for linear plane elasticity problems. The method employs continuous piecewise bi-quadratic functions in local coordinates to approximate the displacement vector and a piecewise-independent 15-parameter mode to approximate the stress tensor. Error estimation shows that the method is free from Poisson-locking and has second-order accuracy in the energy norm. Numerical experiments confirm the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m548
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 399–425
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Linear elasticity hybrid stress finite element Poisson-locking second-order accuracy.