Vol. 9, No. 4, 2014

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ISSN: 1559-3959
Representative volume element in 2D for disks and in 3D for balls

Natalia Rylko

Vol. 9 (2014), No. 4, 427–439
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