Representative volume element in 2D for disks and in 3D for balls

Rylko, Natalia

doi:10.2140/jomms.2014.9.427

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Representative volume element in 2D for disks and in 3D for balls

Natalia Rylko

Vol. 9 (2014), No. 4, 427–439

DOI: 10.2140/jomms.2014.9.427

Abstract

Effective properties of random composites are discussed in the framework of the representative volume element (RVE) theory proposed by Mityushev (2006). This theory is extended to 2D fiber composites with sections perpendicular to fibers of different radii and to 3D composites with spherical inclusions. RVE theory is applied to the mixture problem frequently met in technological processes. This problem consists in a mechanical stir process of few components to get a homogeneous material in macroscale. In particular, the AlSi9/SiC composites obtained by thermomechanical deformation are investigated.

Keywords

representative volume element, effective conductivity, nonoverlapping disks, random inclusions

Mathematical Subject Classification 2010

Primary: 74Q15

Milestones

Received: 17 January 2014

Revised: 17 May 2014

Accepted: 13 June 2014

Published: 19 October 2014

Authors

Natalia Rylko
Institute of Technology Pedagogical University ul. Podchorążych 2 30-084 Krakow Poland

Vol. 9, No. 4, 2014