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From the Hu-Washizu formulation to the average nodal strain formulation

Date

Authors

Lamichhane, Bishnu

Publisher

Elsevier

Abstract

We present a stabilized finite element method for the Hu-Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.

Keywords

Keywords: Average nodal strain; Exact solution; Finite element approximations; Linear elasticity; Mixed finite elements; Nearly incompressible; Nearly incompressible elasticity; Node-based; Primal and dual meshes; Stabilized finite element methods; Strain elements; Average nodal strain; Mixed finite elements; Nearly incompressible elasticity; Primal and dual meshes

URI

http://hdl.handle.net/1885/52374

Collections

ANU Research Publications

Source

Computer Methods in Applied Mechanics and Engineering

Type

Journal article

DOI

10.1016/j.cma.2009.09.008

Restricted until

2037-12-31

Downloads

File

Description

01_Lamichhane_From_the_Hu-Washizu_2009.pdf (220.71 KB)

02_Lamichhane_From_the_Hu-Washizu_2009.pdf (141.26 KB)

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