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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(2):185-196; doi:10.1093/qjmam/23.2.185
© 1970 by Oxford University Press
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END EFFECTS IN A TRUNCATED SEMI-INFINITE CONE

TOMMIE R. THOMPSON and ROBERT W. LITTLE

( Bettis Atomic Power Laboratory Westinghouse Electric
Michigan State University East Lansing )

The Papkovich-Neuber functions are used to formulate the eigenfunctions for a semi-infinite elastic cone. The decay properties in the Saint Venant boundary region are investigated by examination of the eigenvalues for different cone angles. The coefficients of the non-orthogonal eigenfunction expansion are evaluated by a least squares technique. Convergence of the expansions is numerically examined for several loading cases.


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