The purpose of this work is to present baseline elasticity solutions for laminated composite shells subjected to localized moments. For simply supported cross-ply cylindrical shells, the problem reduces to one of coupled ordinary differential equations which are solved in terms of Taylor’s series. Results, in the form of tables and graphs, are presented for the cases of longitudinal and circumferential moments. These results would be very useful for judging the accuracy of approximate two-dimensional shell theories. They are used herein to study the errors of a shell theory based on the classical Love-Kirchhoff hypothesis.
Issue Section:
Technical Papers
1.
Gill, S. S., 1970, The Stress Analysis of Pressure Vessels and Pressure Vessel Components, Pergamon Press, Oxford, UK.
2.
Ren
, J. G.
, 1987
, “Exact Solutions for Laminated Cylindrical Shells in Cylindrical Bending
,” Compos. Sci. Technol.
, 29
, pp. 169
–187
.3.
Bhaskar
, K.
, and Varadan
, T. K.
, 1993
, “Exact Elasticity Solution for Laminated Anisotropic Cylindrical Shells
,” ASME J. Appl. Mech.
, 60
, pp. 41
–47
.4.
Ren
, J. G.
, 1989
, “Analysis of Simply-Supported Laminated Circular Cylindrical Shell Roofs
,” Compos. Struct.
, 11
, pp. 277
–292
.5.
Varadan
, T. K.
, and Bhaskar
, K.
, 1991
, “Bending of Laminated Orthotropic Cylindrical Shells—An Elasticity Approach
,” Compos. Struct.
, 17
, pp. 141
–156
.6.
Srinivas, S., 1974, “Analysis of Laminated, Composite, Circular Cylindrical Shells with General Boundary Conditions,” NASA TR R-412,
7.
Bhaskar
, K.
, and Varadan
, T. K.
, 1993
, “A Benchmark Elasticity Solution for an Axisymmetrically Loaded Angle-Ply Cylindrical Shell
,” Composites Eng.
, 3
, pp. 1065
–1073
.8.
Bhaskar
, K.
, and Varadan
, T. K.
, 1994
, “Benchmark Elasticity Solution for Locally Loaded Laminated Orthotropic Cylindrical Shells
,” AIAA J.
, 32
, pp. 627
–632
.9.
Huang
, N. N.
, and Tauchert
, T. R.
, 1991
, “Thermoelastic Solution for Cross-ply Cylindrical Panels
,” J. Therm. Stresses
, 14
, pp. 227
–237
.10.
Huang
, N. N.
, and Tauchert
, T. R.
, 1992
, “Thermal Stresses in Doubly-Curved Cross-ply Laminates
,” Int. J. Solids Struct.
, 29
, pp. 991
–1000
.11.
Noor
, A. K.
, and Rarig
, P. L.
, 1974
, “Three-dimensional Solutions of Laminated Cylinders
,” Comput. Methods Appl. Mech. Eng.
, 3
, pp. 319
–334
.12.
Ben
, G.
, and Vinson
, J. R.
, 1991
, “Stress Analysis of Laminated Thick-walled Cylindrical Anisotropic Shells
,” AIAA J.
, 29
, pp. 2192
–2196
.13.
Chandrasekhara
, K.
, and Kumar
, B. S.
, 1993
, “Static Analysis of Thick Laminated Circular Cylindrical Shells
,” ASME J. Pressure Vessel Technol.
, 115
, pp. 193
–200
.14.
Bednar, H. H., 1986, Pressure Vessel Design Handbook, Van Nostrand Reinhold, New York, NY.
15.
Bijlaard
, P. P.
, 1955
, “Stresses from Radial Loads and External Moments in Cylindrical Pressure Vessels
,” Weld. J. (Miami)
, 34
, Research Supplement, pp. 608s–617s
608s–617s
.16.
Wichman, K. R., Hopper, A. G., and Mershon, J. L., 1965, “Local Stresses in Spherical and Cylindrical Shells due to External Loadings,” Weld. Res. Counc. Bull., Bulletin No. 107.
17.
Ince, E. L., 1956, Ordinary Differential Equations, Dover Publications, New York, NY.
18.
Ganapathysaran, N., 2001, “Three-dimensional Analysis of Cross-ply Cylindrical Shells Under Localized Forces and Moments,” M. S. thesis, Indian Institute of Technology, Madras, India.
19.
Bert, C. W., 1975, “Analysis of Shells,” Composite Materials, 7, Academic Press, New York, NY.
20.
Pagano
, N. J.
, 1970
, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates
,” J. Compos. Mater.
, 4
, pp. 20
–34
.Copyright © 2003
by ASME
You do not currently have access to this content.
