An implicit discontinuous Galerkin finite element framework for modeling fracture failure of ductile materials undergoing finite plastic deformation

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 boundary value problems involving PDEs (65N30) Theories of fracture and damage (74A45)

Cites Work

Unnamed Item
Unnamed Item
Coalescence of voids by internal necking: theoretical estimates and numerical results
A discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems
A Nitsche embedded mesh method
On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity
A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems
A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, cohesive element method
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
A comparison of implicit and explicit natural element methods in large strains problems: application to soft biological tissues modeling
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems
A robust Nitsche's formulation for interface problems
Compatible algorithms for coupled flow and transport
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
Weak Dirichlet boundary conditions for wall-bounded turbulent flows
Computational inelasticity
A discontinuous \(hp\) finite element method for diffusion problems
Numerical simulations of fast crack growth in brittle solids
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
Elastic damage to crack transition in a coupled non-local implicit discontinuous Galerkin/extrinsic cohesive law framework
Two mechanisms of ductile fracture: Void by void growth versus multiple void interaction.
Stress concentration induced by an elastic spheroidal particle in a plastically deforming solid
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
Finite strain primal interface formulation with consistently evolving stabilization
Coupled multi-scale cohesive modeling of failure in heterogeneous adhesives
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
Discontinuous Galerkin methods for non-linear elasticity
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
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
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
An arbitrary Lagrangian-Eulerian finite element method for finite strain plasticity
Locking-free DGFEM for elasticity problems in polygons
Advances in crush analysis
A hybrid discontinuous Galerkin/interface method for the computational modelling of failure
Formulation of implicit finite element methods for multiplicative finite deformation plasticity
A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
An extended model for void growth and coalescence

This page was built for publication: An implicit discontinuous Galerkin finite element framework for modeling fracture failure of ductile materials undergoing finite plastic deformation