On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
type: Item
instance of: scholarly article
title: On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
zbMATH Open document ID: 0889.73066
DOI: 10.1007/BF02824849
author: E. Stein
author: U. Brink
published in: Computational Mechanics
publication date: 1998-06-18T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1066673
zbMATH Keywords: triangular Crouzeix-Raviart \(P2+/P1\) element
zbMATH Keywords: displacement-pressure formulation
zbMATH Keywords: three-field formulation
zbMATH Keywords: two-field formmulation
zbMATH Keywords: energy functional
zbMATH Keywords: stored energy function
zbMATH Keywords: volumetric contribution
zbMATH Keywords: volume dilatation
zbMATH Keywords: bulk modulus
MaRDI profile type: Publication
cites work: On the formulation of variational theorems involving volume constraints
cites work: On the behaviour of rubberlike materials in compression and shear
cites work: Q4105995
cites work: Mixed and Hybrid Finite Element Methods
cites work: Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
cites work: The inf-sup test
cites work: Consistent finite element procedures for nonlinear rubber elasticity with a higher order strain energy function
cites work: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
cites work: Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
cites work: Old and new finite elements for incompressible flows
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Compatibility condition and existence results in discrete finite incompressible elasticity
cites work: Q3126791
cites work: Computation of isotropic tensor functions
cites work: Aspects of the formulation and finite element implementation of large strain isotropic elasticity
cites work: Q3327849
cites work: Stability and Convergence of a Class of Enhanced Strain Methods
cites work: Analysis of strain localization in strain-softening hyperelastic materials, using assumed stress hybrid elements
cites work: On newly developed assumed stress finite element formulations for geometrically and materially nonlinear problems
cites work: Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
cites work: Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
cites work: Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
cites work: Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
cites work: A finite element formulation for nonlinear incompressible elastic and inelastic analysis
description: scientific article; zbMATH DE number 1066673