A single Gauss point continuum finite element formulation for gradient-extended damage at large deformations
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Publication:2020725
DOI10.1016/j.cma.2020.113440zbMath1506.74339OpenAlexW3092466385MaRDI QIDQ2020725
Stefanie Reese, Tim van der Velden, Tim Brepols, J. Frischkorn, Oliver Barfusz
Publication date: 26 April 2021
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.2020.113440
reduced integrationlarge deformationshourglass stabilizationmicromorphic approachgradient damage plasticity
Brittle fracture (74R10) 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) Brittle damage (74R05)
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Cites Work
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- Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures
- A thermodynamic consistent damage and healing model for self healing materials
- A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
- A reduced integration finite element technology based on a thermomechanically consistent stabilisation for 3D problems
- Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework
- Coupled elasto-plasticity and damage constitutive equations
- An improved EAS brick element for finite deformation
- Hourglass control in linear and nonlinear problems
- A stable finite element for the Stokes equations
- Material rate dependence and mesh-sensitivity in localization problems
- Strain- and stress-based continuum damage models. I. Formulation
- A plasticity-damage theory for large deformation of solids. I: Theoretical formulation
- Locking effects in the finite element approximation of elasticity problems
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- A note on enhanced strain methods for large deformations
- Numerical modelling of ductile plastic damage in bulk metal forming.
- Anisotropic damage law in evolution
- Solid-beam finite element analysis of Nitinol stents
- Quasi-brittle damage modeling based on incremental energy relaxation combined with a viscous-type regularization
- Phase-field modeling of brittle fracture using an efficient virtual element scheme
- Efficient algorithmic incorporation of tension compression asymmetry into an anisotropic damage model
- On the implementation of finite deformation gradient-enhanced damage models
- Phase-field modeling of ductile fracture
- Assumed strain stabilization of the eight node hexahedral element
- Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation
- A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis
- A solid-beam finite element and non-linear constitutive modelling
- On a physically stabilized one point finite element formulation for three-dimensional finite elasto-plasticity
- Thermomechanical modeling of metals at finite strains: first and mixed order finite elements
- An isogeometric analysis approach to gradient damage models
- Mixed variational principles and robust finite element implementations of gradient plasticity at small strains
- 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
- A reduced integration solid-shell finite element based on the EAS and the ANS concept-Large deformation problems
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- A reduced integration solid-shell finite element based on the EAS and the ANS concept-Geometrically linear problems
- A large deformation solid-shell concept based on reduced integration with hourglass stabilization
- The patch test—a condition for assessing FEM convergence
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
- On a consistent hourglass stabilization technique to treat large inelastic deformations and thermo-mechanical coupling in plane strain problems
- A highly efficient enhanced assumed strain physically stabilized hexahedral element
- A new volumetric and shear locking‐free 3D enhanced strain element
- Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity
- Some observations on element performance in isochoric and dilatant plastic flow
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A class of mixed assumed strain methods and the method of incompatible modes
- EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements
- Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage
- Suppression of spurious intermediate frequency modes in under-integrated elements by combined stiffness/viscous stabilization
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