Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I.
From MaRDI portal
Publication:2456922
DOI10.1016/j.jmps.2006.01.009zbMath1120.74328arXivcond-mat/0510020OpenAlexW2051956511MaRDI QIDQ2456922
Publication date: 29 October 2007
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0510020
Related Items
Microstructure in plasticity without nonconvexity, Effects of heterogeneous elasticity coupled to plasticity on stresses and lattice rotations in bicrystals: a field dislocation mechanics viewpoint, Nonlocal continuum crystal plasticity with internal residual stresses, Role of grain boundary energetics on the maximum strength of nanocrystalline nickel, Continuity constraints at interfaces and their consequences on the work hardening of metal-matrix composites, Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics, A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations, Finite element approximation of finite deformation dislocation mechanics, Microcanonical entropy and mesoscale dislocation mechanics and plasticity, Finite element implementation of the thermal field dislocation mechanics model: study of temperature evolution due to dislocation activity, Role of discrete intra-granular slip bands on the strain-hardening of polycrystals, Experimental lower bounds on geometrically necessary dislocation density, Finite element approximation of the fields of bulk and interfacial line defects, New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale, Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. II., On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type, Lattice incompatibility and strain-aging in single crystals, Continuity in the plastic strain rate and its influence on texture evolution, Influence of material parameters and crystallography on the size effects describable by means of strain gradient plasticity, Direct calculations of material parameters for gradient plasticity, Study of size effects in thin films by means of a crystal plasticity theory based on DiFT, New Perspectives in Plasticity Theory: Dislocation Nucleation, Waves, and Partial Continuity of Plastic Strain Rate, Continuously dislocated elastic bodies with a neo-Hookean like energy subjected to anti-plane shear, From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics, Field dislocation mechanics for heterogeneous elastic materials: a numerical spectral approach, Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale, On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature, A finite element formulation for stressed bodies with continuous distribution of edge dislocations, Continuum representation of systems of dislocation lines: a general method for deriving closed-form evolution equations
Cites Work
- On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals
- A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations
- Constitutive analysis of finite deformation field dislocation mechanics
- Modeling the evolution of crystallographic dislocation density in crystal plasticity
- Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior
- Average balance equations for granular materials
- A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals
- Lattice incompatibility and a gradient theory of crystal plasticity
- On the continuum formulation of higher-gradient plasticity for single and polycrystals
- Grain-size effect in viscoplastic polycrystals at moderate strains
- Gradient-dependent deformation of two-phase single crystals
- Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations
- On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity
- A stress-gradient based criterion for dislocation nucleation in crystals
- A unified treatment of strain gradient plasticity
- A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals.
- A comparison of nonlocal continuum and discrete dislocation plasticity predictions.
- Mechanism-based strain gradient plasticity. I: Theory
- Strain gradient crystal plasticity: Size-dependent deformation of bicrystals
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
- Mechanism-based strain gradient plasticity. II: Analysis
- Model reduction via parametrized locally invariant manifolds: Some examples
- The role of interfaces in enhancing the yield strength of composites and polycrystals
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
- A noise induced transition in the deformation of metals
- Parametrized invariant manifolds: a recipe for multiscale modeling?
- Second-order effects of dislocations in anisotropic crystals
- Non-local crystal plasticity model with intrinsic SSD and GND effects
- Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector
- Finite element approximation of field dislocation mechanics
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Mechanics of Solid Materials
- Driving forces and boundary conditions in continuum dislocation mechanics
- Elastic-Plastic Deformation at Finite Strains
- A model of crystal plasticity based on the theory of continuously distributed dislocations
- Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity
- A reformulation of strain gradient plasticity.
- A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations