A dynamic variational multiscale method for viscoelasticity using linear tetrahedral elements
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Publication:6557522
DOI10.1002/nme.5591zbMATH Open1548.74933MaRDI QIDQ6557522
Oriol Colomés, Nabil Abboud, Zeng, Xianyi, Simone Rossi, Guglielmo Scovazzi
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
viscoelasticitytransient dynamicsstabilized methodspiece-wise linear interpolationtetrahedral finite element
Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
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- A vertex centred finite volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics
- A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics
- Development of a stabilised Petrov-Galerkin formulation for conservation laws in Lagrangian fast solid dynamics
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: motivation, formulation, and numerical examples
- On finite element formulations for nearly incompressible linear elasticity
- On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Two classes of mixed finite element methods
- A family of mixed finite elements for the elasticity problem
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- A theory of finite viscoelasticity and numerical aspects
- Higher order stabilized finite element method for hyperelastic finite deformation
- Design of simple low order finite elements for large strain analysis of nearly incompressible solids
- An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics.
- Mixed linear/linear simplicial elements for incompressible elasticity and plasticity.
- A new stabilized enhanced strain element with equal order of interpolation for soil consolidation problems.
- Enhanced linear triangle for plasticity problems in \(J_2^\prime\) solids
- 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
- A hybridizable discontinuous Galerkin formulation for non-linear elasticity
- Mixed stabilized finite element methods in nonlinear solid mechanics. III: compressible and incompressible plasticity
- A stabilized formulation for incompressible plasticity using linear triangles and tetrahedra
- A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations.
- Theory and practice of finite elements.
- A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
- Explicit mixed strain-displacement finite element for dynamic geometrically non-linear solid mechanics
- A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
- Implicit finite incompressible elastodynamics with linear finite elements: a stabilized method in rate form
- A first order hyperbolic framework for large strain computational solid dynamics. II: Total Lagrangian compressible, nearly incompressible and truly incompressible elasticity
- A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation
- A framework for residual-based stabilization of incompressible finite elasticity: stabilized formulations and \(\overline F\) methods for linear triangles and tetrahedra
- Stabilized shock hydrodynamics. I: A Lagrangian method
- Stabilized shock hydrodynamics. II: Design and physical interpretation of the SUPG operator for Lagrangian computations
- A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework
- An analysis of some mixed-enhanced finite element for plane linear elasticity
- Stabilized finite element formulation for elastic--plastic finite deformations
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates
- Stability and comparison of different linear tetrahedral formulations for nearly incompressible explicit dynamic applications
- Polygonal finite elements for finite elasticity
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- A generalized view on Galilean invariance in stabilized compressible flow computations
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A Runge–Kutta, Taylor–Galerkin scheme for hyperbolic systems with source terms. Application to shock wave propagation in viscoplastic geomaterials
- A variational formulation of constitutive models and updates in non-linear finite viscoelasticity
- CBS-based stabilization in explicit solid dynamics
- A stabilized nodally integrated tetrahedral
- Discontinuous Galerkin methods for non-linear elasticity
- A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
- A uniform nodal strain tetrahedron with isochoric stabilization
- Viscoelastic analysis of nearly incompressible solids
- Mixed and Hybrid Finite Element Methods
- Triangles and tetrahedra in explicit dynamic codes for solids
- Tetrahedral composite finite elements
- A mixed displacement-pressure formulation for numerical analysis of plastic failure
- A computational model for generalized inelastic materials at finite strains combining elastic, viscoelastic and plastic material behaviour
- Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
- F‐bar aided edge‐based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids
- Mean‐strain 10‐node tetrahedron with energy‐sampling stabilization
- Finite calculus formulation for incompressible solids using linear triangles and tetrahedra
- An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains
- Stabilized finite element method for viscoplastic flow: formulation with state variable evolution
- Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity
- A Lagrangian cell‐centred finite volume method for metal forming simulation
- Galilean invariance and stabilized methods for compressible flows
- An adaptive stabilization strategy for enhanced strain methods in non‐linear elasticity
- F‐bar‐based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: formulation and benchmarking
- Large strain viscoelastic constitutive models.
- Stabilized finite element method for viscoplastic flow: Formulation and a simple progressive solution strategy
- A first-order hyperbolic framework for large strain computational solid dynamics: an upwind cell centred total Lagrangian scheme
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