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Research Papers

Elasticity Approach to Load Transfer in Cord-Composite Materials

[+] Author and Article Information
Anthony J. Paris

Mechanical Engineering, University of Alaska Anchorage, 3211 Providence Drive, Anchorage, AK 99508afajp@uaa.alaska.edu

J. Appl. Mech 76(6), 061002 (Jul 21, 2009) (6 pages) doi:10.1115/1.3130442 History: Received December 26, 2006; Revised March 24, 2009; Published July 21, 2009

An elasticity approach to the mechanics of load transfer in cord-reinforced composite materials is developed. Finite cords embedded in an elastic matrix and subjected to axial loading is considered, and the extension-twist coupling of the cords is taken into account. Closed form solutions for the axial force and twisting moment in the cord, the shear stresses at the cord-matrix interface in the axial and circumferential directions, the effective axial modulus of the cord, and the apparent modulus of the cord composite are presented. An example of a cord composite typical of what can be found in steel-belted-radial tires is used to illustrate the results. It was found that large shear stresses occur at the cord-matrix interface in both the axial and circumferential directions at the cord ends and that the effective modulus of the cords may be greatly reduced. As a result, the apparent modulus of the composite may be significantly less than that found by a conventional application of the rule-of-mixtures approach.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Cord-composite material model

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Figure 2

An element of the cord

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Figure 3

An axially loaded cord

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Figure 4

Fc/(AcEc) versus z/(Rcs)

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Figure 5

Mtc/(EcRc3) versus z/(Rcs)

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Figure 6

(Ec)effective/Ec versus s

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