Explicit mixed strain-displacement finite elements for compressible and quasi-incompressible elasticity and plasticity
DOI10.1007/s00466-016-1305-zzbMath1398.74315OpenAlexW2412127710WikidataQ113327509 ScholiaQ113327509MaRDI QIDQ341169
Riccardo Rossi, Miguel Cervera, Michele Chiumenti, N. M. Lafontaine
Publication date: 16 November 2016
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-016-1305-z
stabilizationplasticitystrain localizationincompressibilityexplicit mixed finite elementsmesh independencestrain softening
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Plastic materials, materials of stress-rate and internal-variable type (74C99) Finite element methods applied to problems in fluid mechanics (76M10)
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- A new mixed finite element based on different approximations of the minors of deformation tensors
- Benchmarking on bifurcation and localization in \(\mathrm{J}_{2}\) plasticity for plane stress and plane strain conditions
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Size effect and localization in J2 plasticity
- FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynolds numbers
- Properties of discontinuous bifurcation solutions in elasto-plasticity
- Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain
- Uniqueness and localization -- I: Associative and non-associative elastoplasticity
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- Localized failure analysis in elastoplastic Cosserat continua
- Computational inelasticity
- The variational multiscale method -- a paradigm for computational mechanics
- A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible, nearly incompressible and truly incompressible fast dynamics
- A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
- A computational framework for polyconvex large strain elasticity
- A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
- Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem
- Mixed stabilized finite element methods in nonlinear solid mechanics. III: compressible and incompressible plasticity
- A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- On numerically accurate finite element solutions in the fully plastic range
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- 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
- On the orthogonal subgrid scale pressure stabilization of finite deformation J2 plasticity
- Migration of a generic multi-physics framework to HPC environments
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- Error-bounds for finite element method
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Mesh objective modeling of cracks using continuous linear strain and displacement interpolations
- Finite element analysis of transient strain localization phenomena in frictional solids
- Generalization of selective integration procedures to anisotropic and nonlinear media
- MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES
- Finite calculus formulation for incompressible solids using linear triangles and tetrahedra
- Softening, localization and stabilization: capture of discontinuous solutions in J2 plasticity
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