TECHNICAL NOTE
Jan 1, 1993

Thermal Stresses in Spherical Shells

Publication: Journal of Aerospace Engineering
Volume 6, Issue 1

Abstract

This paper presents an iterative finite-difference technique for the analysis of axisymmetric spherical shells with variable wall thickness. The formulation is based on thin elastic shell theory. One-dimensional finite-difference points are used to discretize the shell into strips along the meridian, and an iterative technique is employed to determine the normal and meridional displacements. The stress resultants and bending stresses are then evaluated. Unlike existing analytical and finite-difference techniques, the proposed method is applicable with ease to any variation in rigidity along the meridian, to general loading conditions, and to steep and shallow shells. Results are presented and compared with those of the finite-element method.

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References

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Blandford, G. E., and Tauchert, T. R. (1985). “Nonlinear thermoelastic analysis of layered structures.” Finite elements in analysis and design, Vol. 1, 271–285.
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Flügge, W. (1960). Stresses in shells. Springer‐Verlag, Berlin, Germany.
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Jianping, P., and Harik, I. E. (1991). “Axisymmetric pressures and thermal gradients in conical missile tips.” J. Aerosp. Engrg., ASCE, 4(3), 237–255.
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Jianping, P., and Harik, I. E. (1990). “Iterative FD solution to bending of axisymmetric conical shells.” J. Struct. Engrg., ASCE, 116(9), 2433–2447.
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Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 6Issue 1January 1993
Pages: 106 - 110

History

Received: Jan 2, 1991
Published online: Jan 1, 1993
Published in print: Jan 1993

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Authors

Affiliations

Pei Jianping
Sr. Design Engr., Ningxia Arch. Design Inst., Yinchuan, People's Republic of China
Issam E. Harik, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., 212 Anderson Hall, Univ. of Kentucky, Lexington, KY 40506‐0046

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