Two-Dimensional Analysis of Size Effects in Strain-Gradient Granular Solids with Damage-Induced Anisotropy Evolution
Valerii Maksimov, Emilio Barchiesi, Anil Misra, Luca Placidi, D. V. Timofeev
Abstract
We analyze in two dimensions the mechanical behavior of materials with granular microstructures modeled by means of a variationally formulated strain-gradient continuum approach based on micromechanics and show that it can capture microstructural-size-dependent effects. Tension-compression asymmetry of grain-assembly interactions, as well as microscale damage, is taken into account and the continuum scale is linked to the grain-scale mechanisms. Numerical results are provided for finite deformations and substantiate previous research. As expected, results show interesting size-dependent effects that are typical of strain-gradient modeling.
Topics & Concepts
MicromechanicsMicroscale chemistryAsymmetryMaterials scienceAnisotropyGrain sizeMicrostructureMechanicsLength scaleGranular materialHomogenization (climate)Strain rateComposite materialStatistical physicsPhysicsMathematicsComposite numberOpticsQuantum mechanicsMathematics educationEcologyBiodiversityBiologyNonlocal and gradient elasticity in micro/nano structuresThermoelastic and Magnetoelastic PhenomenaRock Mechanics and Modeling