A model of crystal plasticity based on the theory of continuously distributed dislocations

DOI10.1016/S0022-5096(00)00060-0zbMath1017.74010OpenAlexW2047458032WikidataQ126537377 ScholiaQ126537377MaRDI QIDQ5933906

Amit Acharya

Publication date: 17 June 2001

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(00)00060-0

zbMATH Keywords

crystal plasticityedge dislocationscrew dislocationcrystal elasticitydislocation density tensordislocation generationdislocation velocityneo-Hookean elastic solidsingle crystalsslip deformation tensorslip-system dislocation densitytheory of continuously distributed dislocations

Mathematics Subject Classification ID

Crystalline structure (74E15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Related Items

The Filon construct for moving dislocations, Continuum approximation of the Peach-Koehler force on dislocations in a slip plane, Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids, Defects in nonlinear elastic crystals: differential geometry, finite kinematics, and second‐order analytical solutions, Effects of heterogeneous elasticity coupled to plasticity on stresses and lattice rotations in bicrystals: a field dislocation mechanics viewpoint, Bending of single crystal thin films modeled with micropolar crystal plasticity, Dislocation-based micropolar single crystal plasticity: comparison of multi- and single criterion theories, 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, Bauschinger and size effects in thin-film plasticity due to defect-energy of geometrical necessary dislocations, Constitutive analysis of finite deformation field dislocation mechanics, Elasto-plastic evolution of single crystals driven by dislocation flow, The geometry of discombinations and its applications to semi-inverse problems in anelasticity, A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations, A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application to micro-pillars, Finite element approximation of finite deformation dislocation mechanics, A fundamental improvement to Ericksen-Leslie kinematics, On the Lagrangian and instability of medium with defects, Particle-based approach to the Eulerian distortion field and its dynamics, 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, A geometric field theory of dislocation mechanics, Role of discrete intra-granular slip bands on the strain-hardening of polycrystals, A field theory of distortion incompatibility for coupled fracture and plasticity, Travelling wave solutions for a quasilinear model of field dislocation mechanics, On the structure of linear dislocation field theory, A Variational Approach to Single Crystals with Dislocations, A Counterpoint to Cermelli and Gurtin’s Criteria for Choosing the ‘Correct’ Geometric Dislocation Tensor in Finite Plasticity, A deformation theory of strain gradient crystal plasticity that accounts for geometrically necessary dislocations, Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I., Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers, On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes, Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem, On the relevance of generalized disclinations in defect mechanics, On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals, Parametrized invariant manifolds: a recipe for multiscale modeling?, Periodic smoothing splines for FFT-based solvers, Lattice incompatibility and strain-aging in single crystals, Micro-pillar plasticity: 2.5D mesoscopic simulations, A stress-gradient based criterion for dislocation nucleation in crystals, Riemann-Cartan geometry of nonlinear dislocation mechanics, Continuity in the plastic strain rate and its influence on texture evolution, Line and point defects in nonlinear anisotropic solids, Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics, On the formulations of higher-order strain gradient crystal plasticity models, A crystal plasticity model that incorporates stresses and strains due to slip gradients, 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, A finite element formulation to solve a non-local constitutive model with stresses and strains due to slip gradients, From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics, Atomistic origins of continuum dislocation dynamics, Field dislocation mechanics for heterogeneous elastic materials: a numerical spectral approach, Size effects under homogeneous deformation of single crystals: A discrete dislocation analysis, On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation, Formulation and characterization of a continuous crystal lattice orientation finite element method (LOFEM) and its application to dislocation fields, Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale, The continuum limit of interacting dislocations on multiple slip systems, Non-local crystal plasticity model with intrinsic SSD and GND effects, Moving dislocations in finite plasticity: a topological approach, Finite element approximation of field dislocation mechanics, Autoparallel curves and Riemannian geodesics for materially uniform but inhomogeneous bodies, A finite element formulation for stressed bodies with continuous distribution of edge dislocations, Dislocation-density function dynamics -- an all-dislocation, full-dynamics approach for modeling intensive dislocation structures

Cites Work

• Matching the inner and outer solutions in the continuum theory of dislocations
• The screw dislocation problem in incompressible finite elastostatics: A discussion of nonlinear effects
• Plasticity at the micron scale
• Second-order effects of dislocations in anisotropic crystals
• On Gunther’s stress functions for couple stresses
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item