Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems

Date

Authors

Lamichhane, Bishnu

Publisher

John Wiley & Sons Inc

Abstract

We present a finite element method for non-linear and nearly incompressible elasticity. The formulation is based on Petrov-Galerkin discretization for the pressure and is closely related to the average nodal pressure formulation presented earlier in the context of incompressible and nearly incompressible dynamic explicit applications (Commun. Numer. Meth. Engng 1998; 14:437-449). Some numerical examples are presented to show the efficiency of the approach.

Keywords

Keywords: Biorthogonal; Biorthogonal system; Displacement-based formulation; Dynamic explicit; Mixed finite element methods; Mixed finite elements; Nearly incompressible; Nodal pressures; Non-linear; Numerical example; Petrov-Galerkin; Petrov-Galerkin discretizatio Biorthogonal system; Displacement-based formulation; Mixed finite elements; Petrov-Galerkin discretization

URI

http://hdl.handle.net/1885/33199

Collections

ANU Research Publications

Source

International Journal for Numerical Methods in Engineering

Type

Journal article

DOI

10.1002/nme.2594

Restricted until

2037-12-31

Downloads

File

Description

01_Lamichhane_A_mixed_finite_element_method_2009.pdf (172.97 KB)

abcd