Stress distribution around a hole in an ellipsoidal shell
Authors:
C. N. De Silva and H Cohen
Journal:
Quart. Appl. Math. 23 (1965), 109-119
DOI:
https://doi.org/10.1090/qam/99944
MathSciNet review:
QAM99944
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Abstract: This paper treats the stress distribution in an ellipsoidal shell of revolution with a hole. The problem is reduced to the solution of sets of eight simultaneous equations. If interest is restricted to the neighborhood of the hole, a simplification occurs requiring the solution of sets of four simultaneous equations.
A. I. Lur’e, Prikl. Mat. Mekh, 10 (1946) 397–406.
- A. E. Green and W. Zerna, Theoretical elasticity, Oxford, at the Clarendon Press, 1954. MR 0064598
- Eric Reissner, Stresses and small displacements of shallow spherical shells. II, J. Math. Phys. Mass. Inst. Tech. 25 (1947), 279–300. MR 19028, DOI https://doi.org/10.1002/sapm1946251279
G. N. Watson, Theory of Bessel Functions, Cambridge University Press, London, 1952
C. N. DeSilva and H. Cohen, University of Minnesota Institute of Technology Report NSF G-20192, September 1963
A. I. Lur’e, Prikl. Mat. Mekh, 10 (1946) 397–406.
A. E. Green and W. Zerna, Theoretical Elasticity, Oxford University Press, London (1954)
E. Reissner, J. Math. Phys. 25 (1947) 279–300
G. N. Watson, Theory of Bessel Functions, Cambridge University Press, London, 1952
C. N. DeSilva and H. Cohen, University of Minnesota Institute of Technology Report NSF G-20192, September 1963
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Article copyright:
© Copyright 1965
American Mathematical Society
