TY - JOUR
T1 - Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
AU - Bai , Yanhong
AU - Wu , Yongke
AU - Xie , Xiaoping
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 399
EP - 425
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m548
UR - https://global-sci.org/intro/article_detail/aamm/12095.html
KW - Linear elasticity, hybrid stress finite element, Poisson-locking, second-order accuracy.
AB - <p style="text-align: justify;">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.</p>