On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity
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Publication:465794
DOI10.1016/j.cma.2012.07.015zbMath1297.74121OpenAlexW2056837765MaRDI QIDQ465794
Ruijie Liu, Ivan Yotov, Mary Fanett Wheeler
Publication date: 24 October 2014
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.2012.07.015
DGhyperelastoplasticityhypoelastoplasticityincomplete interior penalty Galerkinspatial formulationsurface geometry stiffness
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems
- A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains
- Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method
- On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems
- Compatible algorithms for coupled flow and transport
- Consistent tangent operators for rate-independent elastoplasticity
- A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis
- A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis
- On the derivative of the square root of a tensor and Guo's rate theorems
- Determination of \(C^{1/2}\), \(C^{-1/2}\) and more general isotropic tensor functions of C
- On the implementation of inelastic constitutive equations with special reference to large deformation problems
- Computational inelasticity
- A discontinuous \(hp\) finite element method for diffusion problems
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
- An introduction to continuum mechanics
- A discontinuous Galerkin method for strain gradient-dependent damage: study of interpolations and convergence
- Modeling of ductile fracture: significance of void coalescence
- A discontinuous Galerkin formulation for a strain gradient-dependent damage model
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates
- Determination of the stretch and rotation in the polar decomposition of the deformation gradient
- Discontinuous Galerkin methods for non-linear elasticity
- An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
- A discontinuous finite element method for elasto-plasticity
- Accuracy and stability of integration algorithms for elastoplastic constitutive relations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Non-linear B-stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- Consistent linearization in mechanics of solids and structures
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Some follower forces and load stiffness
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Locking-free DGFEM for elasticity problems in polygons
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- On the numerical integration of a class of pressure‐dependent plasticity models
- Formulation of implicit finite element methods for multiplicative finite deformation plasticity
- A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
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