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This version was published on December 1, 2006
Journal of Composite Materials, Vol. 40, No. 24, 2217-2234 (2006)
DOI: 10.1177/0021998306062317

Computational Simulation of Composites Reinforced by Planar Random Fibers: Homogenization and Localization by Unit Cell and Mean Field Approaches

Dominik Duschlbauer

Institute of Lightweight Design and Structural Biomechanics Vienna University of Technology, A-1040 Vienna, Austria; VIPAC Engineers and Scientists Ltd., Lane Cove, NSW 2066, Australia

Helmut J. BÖhm

Institute of Lightweight Design and Structural Biomechanics Vienna University of Technology, A-1040 Vienna, Austria

Heinz E. Pettermann

Institute of Lightweight Design and Structural Biomechanics Vienna University of Technology, A-1040 Vienna, Austria; pettermann{at}ilsb.tuwien.ac.at

The linear thermoelastic and thermophysical behavior of a short fiber reinforced composite material with planar random fiber arrangement is investigated by advanced numerical and analytical micromechanical methods. On the one hand, finite element based multi-fiber unit cells are introduced that contain 40-50 short fibers in arrangements approximating 2D random orientation distributions. On the other hand, the same fiber arrangements are investigated by an extended Mori-Tanaka mean field approach that can handle both statistical and discrete descriptions of the fiber orientations. Within the Mori-Tanaka scheme average microfields are extracted for individual fibers, and finite-length cylindrical reinforcements are modeled via averaged dilute concentration tensors that are evaluated numerically by finite element analysis. Homogenization and localization are performed for a metal matrix composite consisting of copper, reinforced by 21 vol% of carbon fibers that closely approximate a planar random arrangement. Simulation results on the macroscopic and microscopic linear elastic, thermoelastic, and thermal conductivity responses obtained by the two approaches are compared and excellent agreement is found.

Key Words: short fiber composites • planar random fiber orientations • thermo-elasticity • thermal conductivity • mean field methods • multi-fiber unit cells


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