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TECHNICAL PAPERS

A Fast Boundary Element Method for the Analysis of Fiber-Reinforced Composites Based on a Rigid-Inclusion Model

[+] Author and Article Information
Y. J. Liu, N. Nishimura, Y. Otani

Academic Center for Computing and Media Studies, Kyoto University, Kyoto 606-8501, Japan

T. Takahashi

Computational Astrophysics Labortory, RIKEN, Wako 351-0198, Japan

X. L. Chen

Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221-0072

H. Munakata

Academic Center for Computing and Media Studies, Kyoto University, Kyoto 6068501, Japan

J. Appl. Mech 72(1), 115-128 (Feb 01, 2005) (14 pages) doi:10.1115/1.1825436 History: Received January 29, 2004; Revised May 22, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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Figures

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A 3D infinite elastic medium (R3) embedded with rigid inclusions
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A rigid sphere in an infinite elastic domain V
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A boundary element model of the sphere (with 1944 surface elements)
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Convergence of the BEM results for surface radial stress σr(a)
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Radial displacement (×σa/E) obtained by the BEM model with 120 elements
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Radial and tangential stresses (×σ) obtained by the BEM model with 120 elements
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Contour plot for stress σx(×σ) on the surface of the rigid sphere
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A RVE of a short fiber-reinforced composite
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A BEM mesh used for the short fiber inclusion (with 456 elements)
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Contour plot of surface stresses (×σ) for a model with 216 “randomly” distributed and oriented short fibers
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A RVE containing 2197 short fibers with the total DOF=3 018 678
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Estimated effective Young’s moduli in the x-direction for the composite model with up to 2197 short rigid fibers (fiber volume fraction=9.16%)
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CPU time used for solving the BEM models for the short-fiber cases
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A RVE containing 5832 long fibers with the total DOF=10 532 592
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Estimated effective Young’s moduli in the x-direction for the composite model with up to 5832 long rigid fibers (fiber volume fraction=3.85%)

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