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Materials 2016, 9(8), 624; doi:10.3390/ma9080624

Micromechanical Modeling of Fiber-Reinforced Composites with Statistically Equivalent Random Fiber Distribution

1
School of Aeronautics, Northwestern Polytechnic University, Xi’an 710072, China
2
Shanghai Aircraft Customer Service Co., Ltd., Shanghai 200241, China
3
Department of Mechanical Engineering, The University of Akron, Akron, OH 44325, USA
*
Author to whom correspondence should be addressed.
Academic Editors: Timon Rabczuk and Pattabhi Budarapu
Received: 12 June 2016 / Revised: 9 July 2016 / Accepted: 19 July 2016 / Published: 27 July 2016
(This article belongs to the Special Issue Multiscale Methods and Application to Computational Materials Design)
View Full-Text   |   Download PDF [5581 KB, uploaded 27 July 2016]   |  

Abstract

Modeling the random fiber distribution of a fiber-reinforced composite is of great importance for studying the progressive failure behavior of the material on the micro scale. In this paper, we develop a new algorithm for generating random representative volume elements (RVEs) with statistical equivalent fiber distribution against the actual material microstructure. The realistic statistical data is utilized as inputs of the new method, which is archived through implementation of the probability equations. Extensive statistical analysis is conducted to examine the capability of the proposed method and to compare it with existing methods. It is found that the proposed method presents a good match with experimental results in all aspects including the nearest neighbor distance, nearest neighbor orientation, Ripley’s K function, and the radial distribution function. Finite element analysis is presented to predict the effective elastic properties of a carbon/epoxy composite, to validate the generated random representative volume elements, and to provide insights of the effect of fiber distribution on the elastic properties. The present algorithm is shown to be highly accurate and can be used to generate statistically equivalent RVEs for not only fiber-reinforced composites but also other materials such as foam materials and particle-reinforced composites. View Full-Text
Keywords: fiber-reinforced composites; statistics; random representative volume element; micromechanical; nearest neighbor distance; elastic properties fiber-reinforced composites; statistics; random representative volume element; micromechanical; nearest neighbor distance; elastic properties
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Wang, W.; Dai, Y.; Zhang, C.; Gao, X.; Zhao, M. Micromechanical Modeling of Fiber-Reinforced Composites with Statistically Equivalent Random Fiber Distribution. Materials 2016, 9, 624.

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