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Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
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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.

Author Details

Yanhong Bai

Yongke Wu

Xiaoping Xie

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