Perspective on Continuum Modeling of Mesoscale/ Macroscale Phenomena

摘要: The attempt to model or predict the inelastic response permanent deformation and failure observed in metals dates back over 180 years. Various descriptions of post elastic have been proposed from fields physics, materials science (metallurgy), engineering, mechanics, applied mathematics. communication between these has improved many modeling efforts today involve concepts most all fields. Early engineering description yield treated material as perfectly plastic — continues deform with zero additional increase load. These models became basis mathematical theory plasticity were extended account for hardening, unloading, directional hardening. In contradistinction, rheological finite a solid similar viscous fluid. cases large deformation, provided both adequate accurate information about deformed shape metal during manufacturing processes. treatment geometric defects bodies initiated within elasticity, dislocation, introduced an incompatible “cut” continuum body. This resulted very body literature devoted linear study dislocations, dislocation structures, their interactions, essential understanding “state” material.