6533b873fe1ef96bd12d599d

RESEARCH PRODUCT

A phase-field model for strain localization analysis in softening elastoplastic materials

Emma La Malfa RibollaGiuseppe Giambanco

subject

Materials scienceField (physics)Applied MathematicsMechanical EngineeringPhase (waves)02 engineering and technologyBendingMechanics021001 nanoscience & nanotechnologyCondensed Matter PhysicsInstabilityDiscontinuity (linguistics)020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsPhase-field Elastoplasticity Softening Strain localizationModeling and SimulationGeneral Materials ScienceInterphaseSettore ICAR/08 - Scienza Delle Costruzioni0210 nano-technologySofteningFinite thickness

description

Abstract The present paper deals with the localization of strains in those structures consisting of materials exhibiting plastic softening response. It is assumed that strain localization develops in a finite thickness band separated from the remaining part of the structure by weak discontinuity surfaces. In view of the small thickness of the band with respect to the dimensions of the structure, the interphase concept is used for the mechanical modeling of the localization phenomenon. We propose a formulation for the quasi-static modeling of strain localization based on a phase-field approach. In this sense, the localization band is smeared over the volume of the structure and a smooth transition between the fully broken and the sound material phases is introduced. The mechanical performance of the model is illustrated for the case of uniaxial tensile test, discussing the instability of the force-displacement response, and for the case of three-point bending test, comparing the analytical results with the experimental ones.

yearjournalcountryeditionlanguage
2019-11-01International Journal of Solids and Structures
https://doi.org/10.1016/j.ijsolstr.2019.04.001