EVALUATION OF EFFECTIVE ELASTIC PROPERTIES, OF RANDOMLY DISTRIBUTED ELLIPTICAL AND CIRCULAR POROUS INCLUSIONS, USING THE NUMERICAL HOMOGENIZATION TECHNIQUE
W. Kaddouri, T. Kanit, S. Madani, A. Imad
Pages: 43-58
Published: 1 Jan 2013
Views: 52
Abstract: The aim of presenting this paper is to evaluate the effective material properties of multi-phase two- dimensional elastic random heterogeneous material. A numerical homogenization technique based on the finite element method with representative volume element is used to evaluate the effective material properties with various boundary conditions. Finite element simulation is performed in the case of linear elasticity. The effective material properties obtained using the numerical homogenization techniques were compared with different analytical methods. The variance of computed apparent properties of several different realizations for each volume size is used to define the precision of the estimation. A new model is first proposed for the three-phase random heterogeneous elastic materials and extended to the case of multi-phase random heterogeneous elastic material. In the case of multi- phase material, the integral range is introduced in order to relate the error estimation to the representative volume element size. The notion of equivalent material is presented here like a great point in the new approach of studying the random heterogeneous material by the definition of the equivalent two-phase elastic material to the multi-phase heterogeneous elastic material.
Keywords: representative volume element, homogenization, finite element method, random composite, integral range, equivalent morphology
Cite this article: W. Kaddouri, T. Kanit, S. Madani, A. Imad. EVALUATION OF EFFECTIVE ELASTIC PROPERTIES, OF RANDOMLY DISTRIBUTED ELLIPTICAL AND CIRCULAR POROUS INCLUSIONS, USING THE NUMERICAL HOMOGENIZATION TECHNIQUE. Journal of International Scientific Publications: Materials, Methods & Technologies 7, 43-58 (2013). https://www.scientific-publications.net/en/article/1003087/
Back to the contents of the volume
© 2026 The Author(s). This is an open access article distributed under the terms of the
Creative Commons Attribution License https://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This permission does not cover any third party copyrighted material which may appear in the work requested.
Disclaimer: The Publisher and/or the editor(s) are not responsible for the statements, opinions, and data contained in any published works. These are solely the views of the individual author(s) and contributor(s). The Publisher and/or the editor(s) disclaim any liability for injury to individuals or property arising from the ideas, methods, instructions, or products mentioned in the content.
