A stabilised displacement-volumetric strain formulation for nearly incompressible and anisotropic materials

DOI10.1016/j.cma.2021.113701zbMath1506.74079OpenAlexW3132613495MaRDI QIDQ2021971

R. Zorrilla, Ramon Codina, Riccardo Rossi

Publication date: 27 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2021.113701

zbMATH Keywords

finite elementsmixed formulationanisotropicnearly incompressible materialsvolumetric strainvariational multiscales

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

A stabilized mixed three‐field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics ⋮ A kinematically stabilized linear tetrahedral finite element for compressible and nearly incompressible finite elasticity

Cites Work

• Unnamed Item
• Explicit mixed strain-displacement finite elements for compressible and quasi-incompressible elasticity and plasticity
• Subscales on the element boundaries in the variational two-scale finite element method
• Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
• The variational multiscale method -- a paradigm for computational mechanics
• The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
• A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations.
• An object-oriented environment for developing finite element codes for multi-disciplinary applications
• Explicit mixed strain-displacement finite element for dynamic geometrically non-linear solid mechanics
• Variational multiscale error estimators for solid mechanics adaptive simulations: an orthogonal subgrid scale approach
• Migration of a generic multi-physics framework to HPC environments
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• The linear elasticity tensor of incompressible materials
• F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking

This page was built for publication: A stabilised displacement-volumetric strain formulation for nearly incompressible and anisotropic materials