Search results for "Strengthening effects"

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Strain gradient plasticity, strengthening effects and plastic limit analysis

2010

Abstract Within the framework of isotropic strain gradient plasticity, a rate-independent constitutive model exhibiting size dependent hardening is formulated and discussed with particular concern to its strengthening behavior. The latter is modelled as a (fictitious) isotropic hardening featured by a potential which is a positively degree-one homogeneous function of the effective plastic strain and its gradient. This potential leads to a strengthening law in which the strengthening stress, i.e. the increase of the plastically undeformed material initial yield stress, is related to the effective plastic strain through a second order PDE and related higher order boundary conditions. The plas…

Ultimate loadStrengthening effectsApplied MathematicsMechanical EngineeringConstitutive equationMechanicsStrain ratePlasticityStrain hardening exponentCondensed Matter PhysicsGradient plasticityClassical limitPlastic limit analysisNonlocal continuum thermodynamicsClassical mechanicsMaximum principleMaterials Science(all)Mechanics of MaterialsModelling and SimulationModeling and SimulationHardening (metallurgy)General Materials ScienceMathematicsInternational Journal of Solids and Structures
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