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Research Papers

Initial Elastic Properties of Unidirectional Ceramic Matrix Composite Fiber Tows

[+] Author and Article Information
M. Blacklock

Department of Mechanical, Aerospace, and Civil Engineering,  The University of Manchester, George Begg Building C.004, Sackville Street, Manchester M13 9PL, UK

D. R. Hayhurst1

Department of Mechanical, Aerospace, and Civil Engineering,  The University of Manchester, George Begg Building C.004, Sackville Street, Manchester M13 9PL, UKd.r.hayhurst@manchester.ac.uk

1

Corresponding author.

J. Appl. Mech 79(5), 051020 (Jul 02, 2012) (11 pages) doi:10.1115/1.4005585 History: Received November 05, 2011; Revised November 29, 2011; Posted February 01, 2012; Published July 02, 2012; Online July 02, 2012

The initial elastic properties of two unidirectional ceramic matrix composite tows, comprised of continuous, cylindrical fibers surrounded by one or more matrices, have been calculated using three different methods. The first uses finite element (FE) analysis of the tow to calculate values for elastic and shear moduli and Poisson’s ratios in the three principal directions, and in the absence of confirmatory experimental data is regarded as the most accurate for a wide range of fiber/matrix geometries and materials. The other two models are (i) rule of mixtures, ROM/volume averaging and (ii) the approximate equations of Halpin-Tsai and analytical relations based on slab representation for composite materials that rely on the elastic properties and volume fractions of the constituent materials. Initial elastic properties of the tows determined by the FE method are presented, and they are compared with predictions made by the other two techniques.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 11

Schematic diagram showing the dimensions of a HITCO unidirectional tow

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Figure 12

Schematic diagram showing the dimensions of a DLR-XT unidirectional tow

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Figure 1

Schematic drawing of (a) a HITCO C/C tow and (b) a DLR-XT C/C-SiC tow

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Figure 2

(a) Schematic representation of the division of the composite tow into blocks of length equal to the matrix crack spacing w (fibers are denoted by solid ellipses [32]) and (b) representation of a single RVE

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Figure 3

RVE mesh for HITCO C/C used in FE analysis (w = 61.1 μm [29])

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Figure 4

Schematic showing cross-section of (a) a tow of DLR-XT C/C-SiC and (b) the same tow cross-section with a homogenized central region

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Figure 5

FE model mesh for DLR-XT C/C-SiC for (a) a RVE of the inner tow and (b) the homogenized tow (figures are not to scale, w = 56.6 μm [29])

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Figure 6

Schematic showing directions of uni-axial straining of a single fiber tow

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Figure 7

Schematic showing method for calculation of Poisson’s ratio νij

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Figure 8

Schematic showing method for calculation of shear strain

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Figure 9

Schematic showing cross-section of a tow of HITCO C/C

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Figure 10

Schematic showing cross-section of a tow of DLR-XT C/C-SiC

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