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Research Papers

Three-Dimensional Numerical Simulation of Random Fiber Composites With High Aspect Ratio and High Volume Fraction

[+] Author and Article Information
Bo Cheng Jin

Mechanical and Aerospace Engineering, Rutgers,  The State University of New Jersey, 98 Brett Road, Piscataway, NJ 08854

Assimina A. Pelegri1

Mechanical and Aerospace Engineering, Rutgers,  The State University of New Jersey, 98 Brett Road, Piscataway, NJ 08854pelegri@jove.rutgers.edu

1

Corresponding author.

J. Eng. Mater. Technol 133(4), 041014 (Oct 20, 2011) (7 pages) doi:10.1115/1.4004701 History: Received April 13, 2011; Revised July 13, 2011; Published October 20, 2011; Online October 20, 2011

Organic and inorganic fiber reinforced composites with various fiber orientation distributions and fiber geometries are abundantly available in several natural and synthetic structures. Inorganic glass fiber composites have been introduced to numerous applications due to their economical fabrication and tailored structural properties. Numerical characterization of such composite materials is necessitated due to their intrinsic statistical nature, since elaborate experiments are prohibitively costly and time consuming. In this work, representative volume elements of unidirectional random filaments and fibers are numerically developed in PYTHON to enhance accuracy and efficiency of complex geometric representations encountered in random fiber networks. A modified random sequential adsorption algorithm is applied to increase the volume fraction of the representative volume elements, and a spatial segment shortest distance algorithm is introduced to construct a 3D random fiber composite with high fiber aspect ratio (100:1) and high volume fraction (31.8%). For the unidirectional fiber networks, volume fractions as high as 70% are achieved when an assortment of circular fiber diameters are used in the representative volume element.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Glass fiber RaFC specimen. Note that a fiber strand is identified by the black line, blue dashed line indicates a later performed cut, which is perpendicular to the strand’s longitudinal axis. Top right corner shows a 3D XTM view of a unidirectional glass-fiber strand with fiber VF of 55%.

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Figure 2

SEM images of the cross section of a single E-glass fiber from and RaFC specimen. Note the damage and removal of fiber filaments (due to cutting and polishing) on the left corner of the elliptical cross section.

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Figure 3

Spatial division of the RVE. Green region: collision check area for new filament located at center of second level square. Blue region: collision check area for new filament located on the edge of second level square.

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Figure 4

Unidirectional fiber RVEs with filament aspect ratio of /r = 100. (a) Square c/s and (b,c) elliptical c/s fiber with VF of 60%; each filament has the same radius r. (d,e) Square c/s fibers with 65% and 70% VF, respectively, and (f) elliptical c/s fiber with 70% VF; filaments have a variety of radii sizes to increase packing capability (higher density fibers).

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Figure 5

The polygon method for elliptical cross section fiber reinforcement

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Figure 6

Collision detection of elliptical fiber reinforcement. The green ellipse is an existing filament (center point OA ), and the red ellipse is the introduced filament (center point OB ) to be checked for collision compatibility.

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Figure 7

Flow chart of a RaFC RVE generation using an SSSD algorithm is developed in PYTHON

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Figure 8

Random fiber composite RVE with AR = 100:1 and VF = 31.8%

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