Mechanism-based strain gradient plasticity. I: Theory

From MaRDI portal
Publication:1968677

DOI10.1016/S0022-5096(98)00103-3zbMath0982.74013OpenAlexW2022216367MaRDI QIDQ1968677

Yonggang Y. Huang, Hua-Jian Gao, John W. Hutchinson, William D. Nix

Publication date: 8 April 2002

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(98)00103-3



Related Items

Size effects in the constrained deformation of metallic foams, Dislocation structure during microindentation, On a continuum theory of dislocation equilibrium, Viscoelastically coupled size-dependent dynamics of microbeams, Balance laws and energy release rates for cracks in dipolar gradient elasticity, A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier, Wedge indentation of thin films modelled by strain gradient plasticity, On the homogenization of metal matrix composites using strain gradient plasticity, On high-order hypoplastic models for granular materials, Modelling the torsion of thin metal wires by distortion gradient plasticity, A new finite element method for strain gradient theories and applications to fracture analyses, An improved strain gradient plasticity formulation with energetic interfaces: theory and a fully implicit finite element formulation, Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity, Nonlocal continuum crystal plasticity with internal residual stresses, A multi-field incremental variational framework for gradient-extended standard dissipative solids, Characterization of heterogeneous solids via wave methods in computational microelasticity, Strain-gradient elastic-plastic material models and assessment of the higher-order boundary conditions, Bauschinger and size effects in thin-film plasticity due to defect-energy of geometrical necessary dislocations, Static analysis of ultra-thin beams based on a semi-continuum model, The role of friction on sharp indentation, A multiresolution continuum simulation of the ductile fracture process, Extension of the Gurson model accounting for the void size effect, Determination of material intrinsic length and strain gradient hardening in microbending process, Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory, Generalized grain cluster method for multiscale response of multiphase materials, A unified residual-based thermodynamic framework for strain gradient theories of plasticity, On torsion of a single crystal rod, The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials, Debonding failure and size effects in micro-reinforced composites, Experimental lower bounds on geometrically necessary dislocation density, Simulation of micro-indentation hardness of FCC single crystals by mechanism-based strain gradient crystal plasticity, Simulation of polycrystal deformation with grain and grain boundary effects, The structure and energetics of, and the plasticity caused by, Eshelby dislocations, Size-effects on yield surfaces for micro reinforced composites, An explicit finite element approach with patch projection technique for strain gradient plasticity formulations, Strain gradient effects on cyclic plasticity, Size-dependent elastic properties of micro- and nano-honeycombs, Solution of Eshelby's inclusion problem with a bounded domain and Eshelby's tensor for a spherical inclusion in a finite spherical matrix based on a simplified strain gradient elasticity theory, Two-scale mechanism-based theory of nonlinear viscoelasticity, On lower order strain gradient plasticity theories, The size effect on void growth in ductile materials., Couple stresses in crystalline solids: origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials., Experiments and theory in strain gradient elasticity., Archetype-blending continuum theory, A perspective on trends in multiscale plasticity, Nonlocal gradient-dependent modeling of plasticity with anisotropic hardening, Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals, Gradient and fracture energy-based plasticity theory for quasi-brittle materials like concrete, Hardness trends in micron scale indentation, Atomistic and continuum studies of crack-like diffusion wedges and associated dislocation mechanisms in thin films on substrates, Numerical investigation of nanoindentation size effect using micropolar theory, Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams, Predictive multiscale theory for design of heterogeneous materials, Distribution-based model for the grain boundaries in polycrystalline plasticity, Dislocation pile-ups in bicrystals within continuum dislocation theory, Characterization of macroscopic tensile strength of polycrystalline metals with two-scale finite element analysis, Globally stable quasistatic evolution for strain gradient plasticity coupled with damage, Mechanical analysis of higher order gradient nanobeams, Lagrange multiplier method of the general variational principles of finite deformation theory of couple stress and its application in the strain gradient plasticity, A renormalization approach to model interaction in microstructured solids: application to porous elastomer, Size effects in phenomenological strain gradient plasticity constitutively involving the plastic spin, Localization properties of strain-softening gradient plasticity models. I: Strain-gradient theories, A study of lower-order strain gradient plasticity theories by the method of characteristics, A piezoelectric constitutive theory with rotation gradient effects, A strain space gradient plasticity theory for finite strain, Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels, Size effect in micro-scale cantilever beam bending, On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals, Strain gradient theory based on a new framework of non-local model, Micro-pillar plasticity: 2.5D mesoscopic simulations, Molecular dynamics study of size, temperature and rate dependent thermomechanical properties of copper nanofilms, Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation, Thermodynamic coarsening of dislocation mechanics and the size-dependent continuum crystal plasticity, Energetic dislocation interactions and thermodynamical aspects of strain gradient crystal plasticity theories, Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity, A new analytical solution of pure bending beam in couple stress elasto-plasticity: theory and applications, Strain gradient plasticity modelling of high-pressure torsion, A crystal plasticity model that incorporates stresses and strains due to slip gradients, Plane constrained shear of single crystal strip with two active slip systems, The size dependence of micro-toughness in ductile fracture, Influence of material parameters and crystallography on the size effects describable by means of strain gradient plasticity, Study of size effects in thin films by means of a crystal plasticity theory based on DiFT, A large-deformation strain-gradient theory for isotropic viscoplastic materials, A comparison between crystal and isotropic strain gradient plasticity theories with accent on the role of the plastic spin, A finite element formulation to solve a non-local constitutive model with stresses and strains due to slip gradients, X-ray microdiffraction and strain gradient crystal plasticity studies of geometrically necessary dislocations near a Ni bicrystal grain boundary, Computational strain gradient crystal plasticity, Multi-scale micromorphic theory for hierarchical materials, Continuum theory of dislocations revisited, A nonlocal strain gradient plasticity theory for finite deformations, Size effects under homogeneous deformation of single crystals: A discrete dislocation analysis, Modelling of the interface between a thin film and a substrate within a strain gradient plasticity framework, Size effects and dislocation patterning in two-dimensional bending, Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations, A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier, On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature, Suppressed plastic deformation at blunt crack-tips due to strain gradient effects, Gradient-dependent deformation of two-phase single crystals, Scaling of dislocation-based strain-gradient plasticity, The correlation of the indentation size effect measured with indenters of various shapes, Coupling effect of strain gradient strengthening and thermal softening on the microscale plastic behavior of metallic materials, A simplified deformation gradient theory and its experimental verification, Nonlocal multiscale modeling of deformation behavior of polycrystalline copper by second-order homogenization method, Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem, Buckling of bi-coated functionally graded porous nanoplates via a nonlocal strain gradient quasi-3D theory, Integral‐based averaging with spatial symmetries for non‐local damage modelling, Plastic Deformation of Bicrystals Within Continuum Dislocation Theory, Topology optimization design for buckling analysis related to the size effect, Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum, Establishing a quantitative relationship between strain gradient and hetero-deformation-induced stress in gradient-structured metals, Modeling size effects in microwire torsion: a comparison between a Lagrange multiplier-based and a \(CurlF^p\) gradient crystal plasticity model, VARIATIONAL MULTISCALE ANALYSIS OF SOLIDS WITH STRAIN GRADIENT PLASTIC EFFECTS USING MESHFREE APPROXIMATION, Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids, The thermodynamics of gradient elastoplasticity, Covariant gradient continua applied to wave propagation within defective material, Multiresolution analysis for material design, A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model, On the analysis of pure bending of rigid-plastic beams in strain-gradient plasticity, Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials, On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model, Strain gradient plasticity modelling of cyclic loading in dispersion hardened materials, Stress field gradient analysis technique using lower-order \(C^0\) elements, Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains, Microstructural pattern formation in finite-deformation single-slip crystal plasticity under cyclic loading: relaxation vs. gradient plasticity, Formulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinates, Viscoelasticity effects on resonant response of a shear deformable extensible microbeam, Some forms and properties of models of strain-gradient plasticity, Stress channelling in extreme couple-stress materials. I: Strong ellipticity, wave propagation, ellipticity, and discontinuity relations, A configurational force for adaptive re-meshing of gradient-enhanced poromechanics problems with history-dependent variables, Implicit gradient softening plasticity for the modeling of strain localization in soils, Unnamed Item, Topology optimization design related to size effect using the modified couple stress theory, Finite element analysis of geometrically necessary dislocations in crystal plasticity, Mixed variational principles and robust finite element implementations of gradient plasticity at small strains, Irreducible decomposition of strain gradient tensor in isotropic strain gradient elasticity, Mode I crack tip fields: strain gradient plasticity theory versus J2 flow theory, Finite strain analysis of size effects in wedge indentation into a face-centered cubic (FCC) single crystal, Necking of anisotropic micro-films with strain-gradient effects, Modeling the interfacial effect on the yield strength and flow stress of thin metal films on substrates, Size-dependent bending of thin metallic films, Numerical and experimental indentation tests considering size effects, A unified theory for cavity expansion in cohesive-frictional micromorphic media, Solitary waves in two-dimensional nonlinear lattices, Computational assessment of cracks under strain-gradient plasticity, Mode III crack growth in linear hardening materials with strain gradient effects, Mechanism-based strain gradient Drucker-Prager elastoplasticity for pressure-sensitive materials, \(C^1\) natural element method for strain gradient linear elasticity and its application to microstructures, Gradient plasticity constitutive model reflecting the ultrafine micro-structure scale: the case of severely deformed copper, The role of interfaces in enhancing the yield strength of composites and polycrystals, Mechanism-based strain gradient crystal plasticity. I: Theory, Mechanism-based strain gradient crystal plasticity. II: Analysis, A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations, A model of size effects in nano-indentation, Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I., Studies of scale dependent crystal viscoplasticity models, Plastic deformation of freestanding thin films: experiments and modeling, Modeling plastic shocks in periodic laminates with gradient plasticity theories, Mechanism-based strain gradient plasticity. II: Analysis, Investigation on cross-scale indentation scaling relationships of elastic-plastic solids, Gradient extension of classical material models: from nuclear \& condensed matter scales to Earth \& cosmological scales, Shakedown theorems for elastic-plastic solids in the framework of gradient plasticity, Data-driven nonlocal mechanics: discovering the internal length scales of materials, A potential for higher-order phenomenological strain gradient plasticity to predict reliable response under non-proportional loading, A refined nonconforming quadrilateral element for couple stress/strain gradient elasticity, Size effects on void growth in single crystals with distributed voids, Well-posedness of a model of strain gradient plasticity for plastically irrotational materials, Fracture in a higher-order elastic continuum, On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity, Void growth to coalescence in a non-local material, Fracture in distortion gradient plasticity, Gradient crystal plasticity modelling of anelastic effects in particle strengthened metallic thin films, A discontinuous Galerkin formulation for a strain gradient-dependent damage model, Fracture in mechanism-based strain gradient plasticity, A generalized self-consistent polycrystal model for the yield strength of nanocrystalline materials, Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity, Multiscale aggregating discontinuities: A method for circumventing loss of material stability, Strain gradient theory with couple stress for crystalline solids, A unified treatment of strain gradient plasticity, Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of Laplace stretch, Indentation of a soft metal film on a hard substrate: strain gradient hardening effects, Discrete dislocation plasticity and crack tip fields in single crystals, A finite deformation theory of strain gradient plasticity, Analysis of surface effects on the deformation of a nanovoid in an elasto-plastic material, A new modified couple stress theory for anisotropic elasticity and microscale laminated Kirchhoff plate model, Coupled electrochemical-mechanical modeling with strain gradient plasticity for lithium-ion battery electrodes, Distortion-gradient plasticity theory for an isotropic body in finite deformation, Analytical Solution for the Stress Field around a Hard Spherical Particle in a Metal Matrix Composite Incorporating Size and Finite Volume Effects, Size-Dependent Bending of Thin Metallic Films, Size effects in the particle-reinforced metal-matrix composites, Strain-gradient effects on steady-state crack growth in linear hardening materials., Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation., A comparison of nonlocal continuum and discrete dislocation plasticity predictions., Nanoindentation and the indentation size effect: Kinetics of deformation and strain gradient plasticity, Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures, Multiscale model of the role of grain boundary structures in the dynamic intergranular failure of polycrystal aggregates, Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework, Gradient-enhanced statistical analysis of cleavage fracture, Modelling the effect of surface passivation within higher-order strain gradient plasticity: the case of wire torsion, Atomic plasticity: description and analysis of a one-billion atom simulation of ductile materials failure, Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy, Non-local crystal plasticity model with intrinsic SSD and GND effects, Effects of thermal environment and external mean flow on sound transmission loss of sandwich functionally graded magneto-electro-elastic cylindrical nanoshell, Size-dependent sharp indentation. I: A closed-form expression of the indentation loading curve, Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity, Computational modeling of size-dependent superelasticity of shape memory alloys



Cites Work