TECHNICAL PAPERS
Apr 1, 1994

Bending of Cord Composite Plates

Publication: Journal of Engineering Mechanics
Volume 120, Issue 4

Abstract

The behavior of one‐ply and two‐ply unidirectional cord‐rubber composite plates in pure bending is presented. The model developed takes in account the extension‐twisting coupling of the cord, as well as the exact location of the cord within the composite plate, and the bending stiffness of an individual cord. The Kirchhoff plate assumptions are used as the kinematic relationships for the composite plate. The cord mechanics are based on the work of Costello. The current results are compared to the classical lamination theory results using the material constants of Gough and Tangorra, as well as the constants of Akasaka and Hirano, to show the limits of usefulness for classical lamination theory for this class of composites. The results of the one‐ply composite plate investigations vary significantly from the results of classical lamination theory, especially for cases with large mismatch between the cord and matrix modulus of elasticity.

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References

1.
Akasaka, T., and Hirano, M. (1972). “Approximate elastic constants of fiber reinforced rubber sheet and its composite laminate.” Fukugo Zairyo, (Composite Materials & Structures), 1, 70–76.
2.
Cembrola, R. J., and Dudek, T. J. (1985). “Cord/rubber material properties.” Rubber Chem. and Technol., 58(4), 830–856.
3.
Costello, G. A. (1990). Theory of wire rope. Springer‐Verlag, New York, N.Y.
4.
Gough, V. E. (1968). “Stiffness of cord and rubber constructions.” Rubber Chem. Tech., 41(4), 988–1021.
5.
Hsieh, K. T. (1985). “Modeling of cord‐reinforced rubber laminates,” PhD thesis, Univ. of Tex. at Austin, Austin, Tex.
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Jones, R. M. (1975). Mechanics of composite materials. McGraw‐Hill, New York, N.Y.
7.
Kittredge, C. A. (1991). “Static response of cord composite plates,” PhD thesis, Univ. of Illinois, Urbana‐Champaign, Ill.
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Kumar, M., and Bert, C. W. (1982). “Experimental characterization of mechanical behavior of cord‐rubber composites.” Tire Sci. Tech., 10(1–4), 37–54.
9.
Prakash, A., Conway, T., and Costello, G. A. (1992). “Compression of a cord.” J. Appl. Mech., 59(2), S213–S216.
10.
Shield, C. K., and Costello, G. A. (1994a). “The effect of wire rope mechanics on the material properties of cord composites—an elasticity approach.” J. Appl. Mech., 160(1).
11.
Shield, C. K., and Costello, G. A. (1994b). “The effect of wire rope mechanics on the mechanical response of cord composite laminates—an energy approach.” J. Appl. Mech., 160(1).
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Tangorra, G. (1969). “Fiber‐reinforced, oriented rubber sheets.” Proc. Int. Rubber Conf., Moscow, Russia, 459–466.
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Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 120Issue 4April 1994
Pages: 876 - 892

History

Received: Sep 28, 1992
Published online: Apr 1, 1994
Published in print: Apr 1994

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Authors

Affiliations

Carol Kittredge Shield
Asst. Prof., Dept. of Civ. and Mineral Engrg., Univ. of Minnesota, 500 Pillsbury Dr. SE, Minneapolis, MN 55455
George A. Costello, Member, ASCE
Prof., Dept. of Theoretical and Appl. Mech., Univ. of Illinois at Urbana‐Champaign, 104 South Wright St., Urbana, IL 61801

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