Abstract
In this Chapter, the methods and equations developed in Chapter 17 for orthotropic thin shells of revolution including transverse shear deformation, thermal loadings, and thermal thickening will be applied to ellipsoidal shells of revolution. This will be accomplished by considering the homogeneous and particular solutions separately.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Handbook of Mathematical Functions U. S. Department of Commerce, National Bureau of Standards, Applied Mathematics Series, 55, Edited by M. Abramowitz and I. Stegun, 1964.
Wylie, C. R., Advanced Engineering Mathematics Third Edition, McGraw-Hill, 1966.
McLachlan, N. W., Bessel Functions for Engineers Second Edition, Oxford University Press, 1955.
Reissner, E., “Stresses and Small Displacements of Shallow Spherical Shells”, I and II, Journal of Mathematics and Physics, Vol. 25, 1946, pp. 80–85, 279–300, Vol. 27, 1948, p. 240.
Carr, J. H., “Stress Distribution in Hemispherical Shells”, NAVORD 1018, 1948, Naval Ordinance Test Station, Inyokern, Calif.
Bijlaard, P. P., “Stresses from Radial Loads in Cylindrical Pressure Vessels”, The Welding Journal, Vol. 33, 12, 1954.
Bijlaard, P. P., “Stresses from Local Loadings in Cylindrical Pressure Vessels”, Journal of Applied Mechanics, Vol. 77, 1955.
Cranch, E., and P. P. Bijlaard, “An Experimental Investigation of Stresses in the Neighborhood of Attachments to a Cylindrical Shell”, Bulletin No. 60, Welding Research Council, 1960.
Bijlaard, P. P., “Computation of the Stresses from Local Loads in Spherical Pressure Vessels or Pressure Vessel Heads”, Bulletin No. 34, Welding Research Council, 1957.
Bijlaard, P.P., “Stresses in a Spherical Vessel from Radial Loads Acting on a Pipe”, Bulletin No. 49, Welding Research Council, 1959.
Bijlaard, P. P., “Stresses in Spherical Vessels from Local Loads Transferred by a Pipe”, Bulletin No. 50, Welding Research Council, 1959.
Rossettos, J. N., “Deformation of Shallow Spherical Sandwich Shells under Local Loading”, NASA TN D-3855,Feb. 1967, National Aeronautics and Space Administration, Langley, Va.
Kliger, H. S. and J. R. Vinson, “Stresses in Shallow Spherical Shells Subjected to Localized Loads”, AFOSR 70–1046 TR, U.S.A.F. Office of Scientific Research, Arlington, Va., 1970.
Kliger, H. S. and J. R. Vinson, “Computer Program for Calculating the Stresses in Shallow Spherical Shells of Composite Materials Subjected to Localized Loads”, AFOSR 70–1047 TR, U.S.A.F. Office of Scientific Research, Arlington, VA 1970.
Kliger, H. S. and J. R. Vinson, “Response of Spherical Shells of Composite Materials to Localized Loads”, ASME, Journal of Pressure Vessel Technology
Reissner, E., “Symmetric Bending of Shallow Shells of Revolution”, Journal of Mathematics and Mechanics, Vol. 7, No. 2, 1958.
Steele, C. R. and R. F. Hartung, “Symmetric Loading of Orthotropic Shells of Revolution”, Journal of Applied Mechanics, Vol. 32, 1965.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vinson, J.R. (1993). Ellipsoidal and Spherical Composite Shells. In: The Behavior of Shells Composed of Isotropic and Composite Materials. Solid Mechanics and Its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8141-7_18
Download citation
DOI: https://doi.org/10.1007/978-94-015-8141-7_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4237-8
Online ISBN: 978-94-015-8141-7
eBook Packages: Springer Book Archive