A low order 3D virtual element formulation for finite elasto-plastic deformations
From MaRDI portal
Publication:670345
DOI10.1007/s00466-018-1593-6zbMath1468.74085OpenAlexW2809903711WikidataQ113327238 ScholiaQ113327238MaRDI QIDQ670345
Blaž Hudobivnik, Fadi Aldakheel, Peter Wriggers
Publication date: 18 March 2019
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1593-6
stabilizationfinite strain plasticitypseudo-energy minimizationthree-dimensional virtual element method
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Numerical and other methods in solid mechanics (74S99)
Related Items
Multiphysics Computation of Thermomechanical Fatigue in Electronics Under Electrical Loading, Divergence Free VEM for the Stokes Problem with No Internal Degrees of Freedom, Adaptive Virtual Element Method for Large-Strain Phase-Field Fracture, Alternative Approaches to the Stabilization of Virtual Element Formulations for Hyperelasticity, A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids, The incorporation of mesh quality in the stabilization of virtual element methods for nonlinear elasticity, On mesh refinement procedures for the virtual element method for two-dimensional elastic problems, Novel Finite Elements - Mixed, Hybrid and Virtual Element Formulations at Finite Strains for 3D Applications, Stabilization of the nonconforming virtual element method, A comparative review of peridynamics and phase-field models for engineering fracture mechanics, Unified solid-fluid Lagrangian FEM model derived from hyperelastic considerations, Virtual element method with adaptive refinement for problems of two-dimensional complex topology models from an engineering perspective, Nonlinear deformation of axisymmetrically loaded rotation shell based on FEM with different variants of definitional equations, 3D mixed virtual element formulation for dynamic elasto-plastic analysis, Bayesian inversion for unified ductile phase-field fracture, A virtual element method for isotropic hyperelasticity, A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity, A virtual element method for 3D contact problems with non-conforming meshes, Petrov–Galerkin zonal free element method for 2D and 3D mechanical problems, Virtual elements for computational anisotropic crystal plasticity, Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method, An adaptive discontinuous finite volume element method for the Allen-Cahn equation, Modeling of brittle fracture in thick plates subjected to transient dynamic loads using a hybrid phase field model, A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems, Virtual Element Methods Without Extrinsic Stabilization, Phase field modeling of ductile fracture at large plastic strains using adaptive isotropic remeshing, Flexible polyhedra modeled by the virtual element method in a discrete element context, Equilibrium analysis of an immersed rigid leaflet by the virtual element method, Curvilinear virtual elements for contact mechanics, NURBS-based geometries: a mapping approach for virtual serendipity elements, Virtual elements for finite thermo-plasticity problems, A general phase-field model for fatigue failure in brittle and ductile solids, Extended virtual element method for two-dimensional linear elastic fracture, A dual scaled boundary finite element formulation over arbitrary faceted star convex polyhedra, Virtual element methods for engineering applications, Hybridization of the virtual element method for linear elasticity problems, First-order VEM for Reissner-Mindlin plates, Virtual elements for sound propagation in complex poroelastic media
Uses Software
Cites Work
- Unnamed Item
- Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing
- Variational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain space
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- An improved EAS brick element for finite deformation
- Hourglass control in linear and nonlinear problems
- A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects
- Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- Computational inelasticity
- A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point.
- A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling
- Micromorphic approach for gradient-extended thermo-elastic-plastic solids in the logarithmic strain space
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A virtual element method for contact
- Arbitrary order 2D virtual elements for polygonal meshes: I: Elastic problem
- Arbitrary order 2D virtual elements for polygonal meshes. II: Inelastic problem
- Efficient virtual element formulations for compressible and incompressible finite deformations
- Phase-field modeling of brittle fracture using an efficient virtual element scheme
- Some basic formulations of the virtual element method (VEM) for finite deformations
- Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing
- A virtual element method for elastic and inelastic problems on polytope meshes
- Virtual Elements for Linear Elasticity Problems
- Closed-form matrix exponential and its application in finite-strain plasticity
- Hourglass stabilization and the virtual element method
- Mean-strain eight-node hexahedron with stabilization by energy sampling
- Mean-strain eight-node hexahedron with optimized energy-sampling stabilization for large-strain deformation
- Automation of Finite Element Methods
- A finite deformation brick element with inhomogeneous mode enhancement
- A new finite element based on the theory of a Cosserat point—extension to initially distorted elements for 2D plane strain
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- A new stabilization technique for finite elements in non-linear elasticity
- On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane strain problems
- A stabilization technique to avoid hourglassing in finite elasticity
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
