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TECHNICAL PAPERS

Bending of Cord Composite Laminate 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 70(3), 364-373 (Jun 11, 2003) (10 pages) doi:10.1115/1.1544541 History: Received April 15, 1999; Revised August 07, 2002; Online June 11, 2003
Copyright © 2003 by ASME
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References

Walter,  J. D., 1978, “Cord-Rubber Tire Composites: Theory and Applications,” Rubber Chem. Technol., 51, 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, pp. 710–724.
Jones, R. M., 1998, Mechanics of Composite Materials, 2nd Ed., Taylor and Francis, Philadelphia, PA.
Paris,  A. J., Lin,  C. C., and Costello,  G. A., 1992, “Simple Cord Composites,” J. Eng. Mech. Div., 118, pp. 1939–1948.
Kittredge, C. A., 1991, Static Response of Cord Composite Plates, doctoral 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. Div., 120, pp. 876–892.
Paris, A. J., 1997, Cord-Reinforced Cylindrical Shells, doctoral thesis, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL.
Paris,  A. J., and Costello,  G. A., 2000, “Bending of Cord Composite Cylindrical Shells,” ASME J. Appl. Mech., 67, pp. 117–127.
Love, A. E. H., 1934, A Treatise on the Mathematical Theory of Elasticity, 4th Ed., Cambridge University Press, New York.
Costello, G. A., 1997, Theory of Wire Rope, 2nd Ed., Springer-Verlag, New York.
Flügge, W., 1966, Stresses in Shells, Springer-Verlag, New York.
Donnell, L. H., 1933, “Stability of Thin-Walled Tubes Under Torsion,” National Advisory Committee for Aeronautics, Report No. 479.

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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An element with the cord axial force, twisting moment, and bending moment
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An element with (a) the force resultants and (b) the moment resultants
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An infinitesimal triangular element with (a) the force resultants and transformed force resultants and (b) the moment resultants and transformed moment resultants
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Normalized displacements u/a,v/a,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 moment resultant Mx/M versus normalized coordinate x/a
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Normalized displacements u/a,v/a,w/a versus normalized coordinate x/a
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Normalized displacements u/a,v/a,w/a versus cord angle θ
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Normalized displacement u/a versus cord angle θ
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Normalized displacement v/a versus cord angle θ
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Normalized displacement w/a versus cord angle θ

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