On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature
From MaRDI portal
Publication:1033219
DOI10.1016/j.cma.2007.01.015zbMath1173.74439OpenAlexW2072994854MaRDI QIDQ1033219
Publication date: 6 November 2009
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.2007.01.015
anti-plane sheargeometrically necessary dislocationsfinite element implementationgeneralized continuum plasticityvector finite elements
Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)
Related Items
On finite strain micromorphic elastoplasticity ⋮ A variational multiscale method to incorporate strain gradients in a phenomenological plasticity model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A multiscale gradient theory for single crystalline elastoviscoplasticity
- On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Anholonomic configuration spaces and metric tensors in finite elastoplasticity
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Incompatibility, defects and stress functions in the mechanics of generalized continua
- The thermodynamics of elastic materials with heat conduction and viscosity
- A finite theory of the elastoviscoplasticity of single crystals
- Computational inelasticity
- Views on multiplicative elastoplasticity and the continuum theory of dislocations
- Atomistic simulations of elastic deformation and dislocation nucleation during nanoindentation.
- Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials.
- Lattice incompatibility and a gradient theory of crystal plasticity
- Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations
- A stress-gradient based criterion for dislocation nucleation in crystals
- A comparison of nonlocal continuum and discrete dislocation plasticity predictions.
- Mechanism-based strain gradient plasticity. I: Theory
- A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
- Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I.
- Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. II.
- The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity
- A variational multiscale method to incorporate strain gradients in a phenomenological plasticity model
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
- Modeling dislocations and disclinations with finite micropolar elastoplasticity
- Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector
- Finite element approximation of field dislocation mechanics
- A dynamical theory of structures solids. I Basic developments
- Elastic-Plastic Deformation at Finite Strains
- On the characterization of geometrically necessary dislocations in finite plasticity
- A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations