An analytical method for determining the load-deformation behavior of cord composite cylindrical shells is developed by considering the mechanics of the matrix, the cords, and the shell. To illustrate the method, a circular cylindrical shell with a single ply of uniformly spaced cords parallel to the shell axis is considered. The differential equations for the displacements are derived. These equations are solved analytically in closed form for a shell with the cords on the middle surface and subjected to axisymmetric loading. The deformations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading. [S0021-8936(00)02701-X]
Issue Section:
Technical Papers
1.
Walter
, J. D.
, 1978
, “Cord-Rubber Tire Composites: Theory and Applications
,” Rubber Chem. Technol.
, 51
, No. 3
, pp. 524
–576
.2.
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
.3.
Jones, R. M., 1998, Mechanics of Composite Materials, 2nd ed., Taylor and Francis, Philadelphia.
4.
Costello, G. A., 1997, Theory of Wire Rope, 2nd ed., Springer-Verlag, New York.
5.
Paris
, A. J.
, Lin
, C. C.
, and Costello
, G. A.
, 1992
, “Simple Cord Composites
,” J. Eng. Mech.
, 118
, No. 9
, pp. 1939
–1948
.6.
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.
7.
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
.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
.9.
Shield
, C. K.
, and Costello
, G. A.
, 1994
, “Bending of Cord Composite Plates
,” J. Eng. Mech.
, 120
, No. 4
, pp. 876
–892
.10.
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.
11.
Love, A. E. H., 1934, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press, London.
12.
Flu¨gge, W., 1966, Stresses in Shells, Springer-Verlag, New York.
13.
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
.14.
Prakash
, A.
, Conway
, T. A.
, and Costello
, G. A.
, 1992
, “Compression of a Cord
,” ASME J. Appl. Mech.
, 59
, pp. S213–S216
S213–S216
. Copyright © 2000
by ASME
You do not currently have access to this content.