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

Bishnu P. Lamichhane

doi:10.1002/nme.2594

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

Bishnu P. Lamichhane

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	870-886
Number of pages	17
Journal	International Journal for Numerical Methods in Engineering
Volume	79
Issue number	7
DOIs	https://doi.org/10.1002/nme.2594
Publication status	Published - 13 Aug 2009

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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.",

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KW - Mixed finite elements

KW - Petrov-Galerkin discretization

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

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