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Three-point geometric parameter for the transverse cross section of a fibrous composite

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Abstract

A fiber-reinforced composite in which aligned fibers of uniform size are randomly embedded in a continuous matrix is considered. Bounds on the transverse effective transport property of the composite which were statistically evaluated by Monte Carlo simulations are discussed and analyzed with reference to the third-order perturbation bounds. Three-point geometric parameters for the transverse cross section of the composite are inferred from one of the previously reported results, and comparisons are made with those from other models. It is concluded that the three-point parameters can be used to quantify the geometrical arrangement of the fibers in the matrix. With the extracted three-point parameters, the fourth-order bounds can be exploited to sharpen the numerical predictions.

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Authors and Affiliations

  1. Department of Power Mechanical Engineering, National Tsing Hua University, Hsin Chu, 30013, Taiwan

    Chun-Ron Chiang

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  1. Chun-Ron Chiang
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Correspondence to Chun-Ron Chiang.

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Chiang, CR. Three-point geometric parameter for the transverse cross section of a fibrous composite. Acta Mech 227, 1919–1926 (2016). https://doi.org/10.1007/s00707-016-1609-2

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  • DOI: https://doi.org/10.1007/s00707-016-1609-2

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