Vol. 2, No. 8, 2007

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ISSN: 1559-3959
Evaluation of effective material properties of randomly distributed short cylindrical fiber composites using a numerical homogenization technique

Harald Berger, Sreedhar Kari, Ulrich Gabbert, Reinaldo Rodríguez Ramos, Julian Bravo Castillero and Raúl Guinovart Díaz

Vol. 2 (2007), No. 8, 1561–1570
Abstract

In this paper effective material properties of randomly distributed short fiber composites are calculated with a developed comprehensive tool for numerical homogenization. We focus on the influence of change in volume fraction and length/diameter aspect ratio of fibers. Two types of fiber alignments are considered: fiber orientations with arbitrary angles and parallel oriented fibers. The algorithm is based on a numerical homogenization technique using a unit cell model in connection with the finite element method. To generate the three-dimensional unit cell models with randomly distributed short cylindrical fibers, a modified random sequential adsorption algorithm is used, which we describe in detail. For verification of the algorithm and checking the influence of different parameters, unit cells with various fiber embeddings are created. Numerical results are also compared with those from analytical methods.

Keywords
finite element method, unit cell, representative volume element, homogenization, short fibers, random sequential adsorption algorithm, effective material properties
Milestones
Received: 30 July 2006
Revised: 2 April 2007
Accepted: 20 April 2007
Published: 1 October 2007
Authors
Harald Berger
Institute of Mechanics
University of Magdebur
Universitaetsplatz 2
D-39106, Magdeburg
Germany
Sreedhar Kari
Institute of Mechanics
University of Magdebur
Universitaetsplatz 2
D-39106, Magdeburg
Germany
Ulrich Gabbert
Institute of Mechanics
University of Magdebur
Universitaetsplatz 2
D-39106, Magdeburg
Germany
Reinaldo Rodríguez Ramos
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro y L
CP 10400, Vedado
Havana 4
Cuba
Julian Bravo Castillero
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro y L
CP 10400, Vedado
Havana 4
Cuba
Raúl Guinovart Díaz
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro y L
CP 10400, Vedado
Havana 4
Cuba