Axisymmetric Solutions in Elastostatics and Elastic Wave Propagation by Ascent Methods

[+] Author and Article Information
F. R. Norwood

Computational Physics and Mechanics Division II, 1533, Sandia National Laboratories, Albuquerque, N.M. 87185

J. Appl. Mech 51(3), 630-635 (Sep 01, 1984) (6 pages) doi:10.1115/1.3167684 History: Received April 01, 1983; Online July 21, 2009


In the present paper a method of ascent for axisymmetric problems is developed. It is shown that, for problems where the vector or scalar Laplacian operator specifies the space behavior of the potential functions, the three-dimensional axisymmetric problems may be solved by operating on the solution to an associated two-dimensional problem. Hence, the theoretical results presented here may be applied to heat transfer problems, to problems in elastostatics, and to elastic wave propagation problems.

Copyright © 1984 by ASME
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