Constitutive Equation for Numerical Simulation of Elastic-Viscous - Plastic Disperse Materials Deformation Process

摘要

During the investigation it was made the methodology of elastic - viscous - plastic disperses materials (DM), deformation processes, creation of constitutive equation. The two levels of DM structural analyses are used, such as microanalysis (separated micro-fragment (particle) of a disperse system consideration) and macro-analysis (the parameters averaging the representative element macro volume). It is considered that the parameter of the local (at micro level) energy deformation speed of the solid phase with its subsequent over the representative element volume is averaged. The constitutive equation general structure is formulated by the components of stress and deformation rates tensors due to the chosen material model. The peculiarity of this model is that the equilibrium flow concept elastic-viscous-plastic material is an alternative to its elastic-plastic deformation The proposed equations are suitable for their effective practical using for digital models creation that based on existent software for the of equilibrium processes of compact materials deformation finite-element analysis. It can be used for calculating of technological processes and designing equipment of food and other productions.