A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier

From MaRDI portal
Publication:835850

DOI10.1016/j.jmps.2008.09.010zbMath1195.74020OpenAlexW2128538984MaRDI QIDQ835850

Norman A. Fleck, John R. Willis

Publication date: 31 August 2009

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/j.jmps.2008.09.010




Related Items (59)

A variational framework for the thermomechanics of gradient-extended dissipative solids -- with applications to diffusion, damage and plasticityOn classical continuum mechanics, two-scale continua, and plasticitySurface plasticity: theory and computationContinuum Mechanics of the Interaction of Phase Boundaries and Dislocations in SolidsPlane strain and plane stress elasticity under fractional continuum mechanicsOn the homogenization of metal matrix composites using strain gradient plasticityPlasticity in multi-phase solids with incoherent interfaces and junctionsModelling the torsion of thin metal wires by distortion gradient plasticityMicromorphic approach for gradient-extended thermo-elastic-plastic solids in the logarithmic strain spaceAn improved strain gradient plasticity formulation with energetic interfaces: theory and a fully implicit finite element formulationA multi-field incremental variational framework for gradient-extended standard dissipative solidsStability of strain-gradient plastic materialsA 2D finite element implementation of the Fleck-Willis strain-gradient flow theoryThe role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. I: Polycrystalline plasticityFormulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinatesSome forms and properties of models of strain-gradient plasticityA quasi-extremal energy principle for non-potential problems in rate-independent plasticityGeneralizing \(J_2\) flow theory: fundamental issues in strain gradient plasticityMixed variational principles and robust finite element implementations of gradient plasticity at small strainsSome links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continuaCoupling effect of strain gradient strengthening and thermal softening on the microscale plastic behavior of metallic materialsToward selecting optimal predictive multiscale modelsFractional strain-gradient plasticityA finite strain FE-implementation of the Fleck-Willis gradient theory: rate-independent versus visco-plastic formulationNon-local and numerical formulations for dry sliding friction and wear at high velocitiesA unified residual-based thermodynamic framework for strain gradient theories of plasticityAn alternative treatment of phenomenological higher-order strain-gradient plasticity theoryShakedown analysis for a class of strengthening materials within the framework of gradient plasticityExperimental lower bounds on geometrically necessary dislocation densitySimulation of micro-indentation hardness of FCC single crystals by mechanism-based strain gradient crystal plasticitySize-effects on yield surfaces for micro reinforced compositesA standard thermodynamic-based extension of the modified Cam-Clay soil model and its applicationsTwo types of scale effects on the nonlinear forced vibration of axially moving nanobeamsFlow Relations and Yield Functions for Dissipative Strain-Gradient PlasticityHyper-pre-stress vs. strain-gradient for surface relaxation in diamond-like structuresNonlocal gradient-dependent modeling of plasticity with anisotropic hardeningDislocation impediment by the grain boundaries in polycrystalsMixed variational principles for the evolution problem of gradient-extended dissipative solidsSize effect on void coalescence under intense shearA potential for higher-order phenomenological strain gradient plasticity to predict reliable response under non-proportional loadingSize effects in the bending of thin foilsMechanics of strain gradient plasticity with particular reference to decomposition of the state variables into energetic and dissipative componentsInterfacial energy effects within the framework of strain gradient plasticityPhase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulationThermodynamic coarsening of dislocation mechanics and the size-dependent continuum crystal plasticityStrain gradient plasticity, strengthening effects and plastic limit analysisA Personal View on Current Generalized Theories of Elasticity and Plastic FlowNonlocal and strain gradient effects on nonlinear forced vibration of axially moving nanobeams under internal resonance conditionsModeling of strengthening and softening in inelastic nanocrystalline materials with reference to the triple junction and grain boundaries using strain gradient plasticityDissipative Scale Effects in Strain-Gradient Plasticity: The Case of Simple ShearStrain gradient plasticity: energetic or dissipative?Variational gradient plasticity at finite strains. I: Mixed potentials for the evolution and update problems of gradient-extended dissipative solidsVariational gradient plasticity at finite strains. II: Local-global updates and mixed finite elements for additive plasticity in the logarithmic strain spaceComputational strain gradient crystal plasticityStrain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structuresA mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplierContinuum thermomechanics of nonlinear micromorphic, strain and stress gradient mediaModelling the effect of surface passivation within higher-order strain gradient plasticity: the case of wire torsionEquivalent plastic strain gradient crystal plasticity - Enhanced power law subroutine



Cites Work


This page was built for publication: A mathematical basis for strain-gradient plasticity theory. I: Scalar plastic multiplier