scholarly journals An Adaptive Hybrid Stress Transition Quadrilateral Finite Element Method for Linear Elasticity

2016 ◽  
Vol 34 (4) ◽  
pp. 339-364
Author(s):  
Feiteng Huang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Elasticity ◽  
Quadrilateral Finite Element ◽  
Hybrid Stress ◽  
Element Method

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

2016 ◽  
Vol 8 (3) ◽  
pp. 399-425 ◽  
Author(s):  
Yanhong Bai ◽  
Yongke Wu ◽  
Xiaoping Xie
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Displacement Vector ◽  
Plane Elasticity ◽  
Higher Order ◽  
Quadratic Functions ◽  
Elasticity Problems ◽  
Quadrilateral Finite Element ◽  
Hybrid Stress ◽  
Element Method

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.

Sign in / Sign up

Export Citation Format

Share Document