<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the paper, a numerical study of the size of representative volume element for the linear elasticity problem is performed. The calculations are carried out for three different types of random microstructures: checkerboard, the Ising model microstructure and Debye microstructure. It is postulated and then verified that there exists a relation between the morphology of microstructure contained in the lineal-path function and the minimum RVE size. It is confirmed, on the basis of numerical examples, that for all the microstructures considered the largest lineal-path can be treated as the size of RVE</p></abstract>

In the paper, a numerical study of the size of representative volume element for the linear elasticity problem is performed. The calculations are carried out for three different types of random microstructures: checkerboard, the Ising model microstructure and Debye microstructure. It is postulated and then verified that there exists a relation between the morphology of microstructure contained in the lineal-path function and the minimum RVE size. It is confirmed, on the basis of numerical examples, that for all the microstructures considered the largest lineal-path can be treated as the size of RVE

NUMERICAL STUDY OF THE SIZE OF REPRESENTATIVE VOLUME ELEMENT FOR LINEAR ELASTICITY PROBLEM

Institute of Geotechnics and Hydrotechnics, Wrocław University of Technology, WybrzeżeWyspiańskiego 27, 50-370 Wrocław, Poland

5th year student of Wrocław University of Technology, Faculty of Civil Engineering

Studia Geotechnica et Mechanica

In the paper, a numerical study of the size of representative volume element for the linear elasticity problem is performed. The calculations are carried out...

NUMERICAL STUDY OF THE SIZE OF REPRESENTATIVE VOLUME ELEMENT FOR LINEAR ELASTICITY PROBLEM

Published Online: Feb 14, 2014

Page range: 67 - 81

DOI: https://doi.org/10.2478/sgem-2013-0024

This content is open access.