Theoretical-experimental method of multiscale modelling of two-component materials

• Main Authors: Baltov Anguel, Yanakieva Ana
• Format: Article
• Language: English
• Published: EDP Sciences 2018-01-01
• Series: MATEC Web of Conferences
• Online Access: https://doi.org/10.1051/matecconf/201814502001

Modern mechano-mathematical models of materials are multilevel ones combining macro-, meso- and micro-level models. A major problem however is how to present a clear link between the levels. Moreover, structural models should be well verified, reflecting material behavior at meso-level and its microstructure. Hence, we propose a theoretical-experimental approach to multilevel modeling, treating discs which operate under plane stress. The approach comprises the following stages: I stage: Identify a system of characteristic points on the disc surface. Employing an appropriate optical method, find point displacements using time steps in the course of deformation. II stage: Based on displacement development in time, rationally find the variation of the strain tensor components using strains directed from the main point to the closest points of its vicinity. III stage: Define a meso-representative element in the disc plane as an ellipse with diameters related to the principal strains. IV stage: Having prepared metallographic micro-sections, define systems of characteristic structural elements in the meso-representative ellipses. V stage: Averaging the structural systems at meso-level, define macro-parameters involving material deformation parameters. VI stage: Find material macro-deformation parameters on the basis of an appropriate design of micro-representative elements and calculate the stressed-strained state of the latter applying representative loading. A test example is give in order to illustrate the approach.