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- W2077366461 abstract "The limiting form of elastodynamic solutions as frequency tends to zero leads to the elastostatic eigenvalue equations. However, this limiting procedure is not convenient. It is cumbersome when applied to the solutions obtained using Stokes potentials and, in the case of utilizing Lames potentials, it does not produce static solutions that are a function of position alone. In this paper it is shown that the exact solutions of elastostatic problems can, in general, be obtained in a straightforward manner by the use of harmonic potentials without recourse to any special limiting form of analysis. This method is applied to an infinite, elastic thick plate with traction-free parallel surfaces and the elastostatic eigenvalue equation. It is shown that the problem can be solved exactly in terms of harmonic functions, one of which is a scalar and the other one is a vector. It is noted that results are in agreement with the published solutions." @default.
- W2077366461 created "2016-06-24" @default.
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- W2077366461 date "2006-11-01" @default.
- W2077366461 modified "2023-09-27" @default.
- W2077366461 title "Direct computation of degenerate elastodynamic solution of elastic wave propagation in a thick plate" @default.
- W2077366461 doi "https://doi.org/10.1121/1.4777681" @default.
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