6533b7d0fe1ef96bd125a60b
RESEARCH PRODUCT
Interfacial energy effects within the framework of strain gradient plasticity
Castrenze Polizzottosubject
Materials scienceSurface tensionApplied MathematicsMechanical EngineeringConstitutive equationInterfacesPlasticityCondensed Matter PhysicsGradient plasticitySurface energySurface tensionNonlocal continuum thermodynamicsBoundary layerClassical mechanicsMaterials Science(all)Surface energyMechanics of MaterialsModelling and SimulationModeling and SimulationRock mass plasticityDissipative systemGeneral Materials ScienceBoundary value problemdescription
AbstractIn the framework of strain gradient plasticity, a solid body with boundary surface playing the role of a dissipative boundary layer endowed with surface tension and surface energy, is addressed. Using the so-called residual-based gradient plasticity theory, the state equations and the higher order boundary conditions are derived quite naturally for both the bulk material and the boundary layer. A phenomenological constitutive model is envisioned, in which the bulk material and the boundary layer obey (rate independent associative) coupled plasticity evolution laws, with kinematic hardening laws of differential nature for the bulk material, but of nondifferential nature for the layer. A combined global maximum dissipation principle is shown to hold. The higher order boundary conditions are discussed in details and categorized in relation to some peculiar features of the boundary surface, and their basic role in the coupling of the bulk/layer plasticity evolution laws is pointed out. The case of an internal interface is also studied. An illustrative example relating to a shear model exhibiting energetic size effects is presented. The theory provides a unified view on gradient plasticity with interfacial energy effects.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-01 | International Journal of Solids and Structures |