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TECHNICAL PAPERS

Bending of Cord Composite Cylindrical Shells

[+] Author and Article Information
A. J. Paris, G. A. Costello

  Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 67(1), 117-127 (Sep 10, 1999) (11 pages) doi:10.1115/1.321156 History: Received December 23, 1998; Revised September 10, 1999
Copyright © 2000 by ASME
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References

Walter,  J. D., 1978, “Cord-Rubber Tire Composites: Theory and Applications,” Rubber Chem. Technol., 51, No. 3, pp. 524–576.
Walter,  J. D., and Patel,  H. P., 1979, “Approximate Expressions for the Elastic Constants of Cord-Rubber Laminates,” Rubber Chem. Technol., 52, No. 4, pp. 710–724.
Jones, R. M., 1998, Mechanics of Composite Materials, 2nd ed., Taylor and Francis, Philadelphia.
Costello, G. A., 1997, Theory of Wire Rope, 2nd ed., Springer-Verlag, New York.
Paris,  A. J., Lin,  C. C., and Costello,  G. A., 1992, “Simple Cord Composites,” J. Eng. Mech., 118, No. 9, pp. 1939–1948.
Kittredge, C. A., 1991, “Static Response of Cord Composite Plates,” Ph.D. thesis, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL.
Shield,  C. K., and Costello,  G. A., 1994, “The Effect of Wire Rope Mechanics on the Mechanical Response of Cord Composite Laminates: An Elasticity Approach,” ASME J. Appl. Mech., 61, pp. 1–8.
Shield,  C. K., and Costello,  G. A., 1994, “The Effect of Wire Rope Mechanics on the Mechanical Response of Cord Composite Laminates: An Energy Approach,” ASME J. Appl. Mech., 61, pp. 9–15.
Shield,  C. K., and Costello,  G. A., 1994, “Bending of Cord Composite Plates,” J. Eng. Mech., 120, No. 4, pp. 876–892.
Paris, A. J., 1997, “Cord-Reinforced Cylindrical Shells,” Ph.D. thesis, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL.
Love, A. E. H., 1934, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press, London.
Flügge, W., 1966, Stresses in Shells, Springer-Verlag, New York.
Jiang,  W. G., Yao,  M. S., and Walton,  J. M., 1999, “A Concise Finite Element Model for Simple Straight Wire Rope Strand,” Int. J. Mech. Sci., 41, pp. 143–161.
Prakash,  A., Conway,  T. A., and Costello,  G. A., 1992, “Compression of a Cord,” ASME J. Appl. Mech., 59, pp. S213–S216.

Figures

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A cord composite cylindrical shell
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A typical element for the shell
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A typical element for the shell with (a) the tractions and the force resultants and (b) the moment resultants
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Exaggerated displacements and rotations for the shell (a) in the xz-plane and (b) in the φz-plane
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A typical element for the shell with the in-plane matrix stresses
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A cord loaded by an axial force and twisting moment
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A cord (a) undeformed and (b) deformed in pure bending
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A typical element for the shell with the cord axial force, twisting moment, and bending moment
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An element of the end of a cylindrical shell with (a) the loads with a moment about the centerline and (b) the equivalent shear force resultant
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Normalized displacements u/a,v/a, and w/a versus normalized coordinate x/a
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Normalized displacement w/a versus normalized coordinate x/a
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Normalized stress resultant Mx/M versus normalized coordinate x/a
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Normalized displacements u/a,v/a, and w/a versus normalized coordinate x/a

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