Volume 8, Issue 3
Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

Yanhong Bai ,  Yongke Wu and Xiaoping Xie

10.4208/aamm.2014.m548

Adv. Appl. Math. Mech., 8 (2016), pp. 399-425.

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  • 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.

  • History

Published online: 2018-05

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