MATEC Web Conf.
Volume 145, 2018NCTAM 2017 – 13th National Congress on Theoretical and Applied Mechanics
|Number of page(s)||10|
|Published online||09 January 2018|
Theoretical-experimental method of multiscale modelling of two-component materials
Institute of Mechanics, Bulgarian Academy of Sciences, 1113 Sofia, 4 G.Bonchev str., Bulgaria
* Corresponding author: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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