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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 |
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Vol. 2 (2007), No. 8, 1561–1570
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Abstract |
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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
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Milestones
Received: 30 July 2006
Revised: 2 April 2007
Accepted: 20 April 2007
Published: 1 October 2007
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Authors |
| Harald Berger | |
| Institute of Mechanics University of Magdebur Universitaetsplatz 2 D-39106, Magdeburg Germany |
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| Sreedhar Kari | |
| Institute of Mechanics University of Magdebur Universitaetsplatz 2 D-39106, Magdeburg Germany |
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| Ulrich Gabbert | |
| Institute of Mechanics University of Magdebur Universitaetsplatz 2 D-39106, Magdeburg Germany |
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| Reinaldo Rodríguez Ramos | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro y L CP 10400, Vedado Havana 4 Cuba |
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| Julian Bravo Castillero | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro y L CP 10400, Vedado Havana 4 Cuba |
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| Raúl Guinovart Díaz | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro y L CP 10400, Vedado Havana 4 Cuba |
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