Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity

DOI10.1002/cnm.1640111109zbMath0836.73066OpenAlexW2021282898MaRDI QIDQ4858249

No author found.

Publication date: 1 February 1996

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640111109

zbMATH Keywords

eigenvalue analysisspurious eigenvalueshourglassingelement tangent stiffnesses

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (21)

\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements ⋮ Generalized modal element method. II: Application to eight-node asymmetric and symmetric solid-shell elements in linear analysis ⋮ A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy ⋮ A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach ⋮ Artificial instabilities of finite elements for nonlinear elasticity: Analysis and remedies ⋮ Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics ⋮ A kinematically stabilized linear tetrahedral finite element for compressible and nearly incompressible finite elasticity ⋮ Mixed virtual element methods for elastodynamics with weak symmetry ⋮ A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity ⋮ A solid-beam finite element and non-linear constitutive modelling ⋮ On the formulation of enhanced strain finite elements in finite deformations ⋮ A reduced integration solid-shell finite element based on the EAS and the ANS concept-Geometrically linear problems ⋮ Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation ⋮ Time integration in the context of energy control and locking-free finite elements ⋮ A single Gauss point continuum finite element formulation for gradient-extended damage at large deformations ⋮ Shear locking in one-dimensional finite element methods ⋮ On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids ⋮ Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form ⋮ A velocity/stress mixed stabilized nodal finite element for elastodynamics: analysis and computations with strongly and weakly enforced boundary conditions ⋮ On adaptive strategies for large deformations of elasto-plastic solids at finite strains: Computational issues and industrial applications ⋮ A deformation-dependent stabilization technique, exemplified by EAS elements at large strains

Cites Work

• Unnamed Item
• A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues
• Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
• Generalization of selective integration procedures to anisotropic and nonlinear media
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• A non-conforming element for stress analysis
• A class of mixed assumed strain methods and the method of incompatible modes

This page was built for publication: Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity