Discussion on the Time-Harmonic Elastodynamic Half-Space Green’s Function Obtained by Superposition

Huina Yuan and Ziyang Pan

Mathematical Problems in Engineering, 2016, vol. 2016, 1-7

Abstract:

The time-harmonic elastodynamic half-space Green’s function derived by Banerjee and Mamoon by way of superposition is discussed and examined against another semianalytical solution and a numerical solution. It is shown that Banerjee and Mamoon’s solution gives infinite z -displacement response when the depth of the source goes to infinity, which is unreasonable and does not agree with other solutions. A possible problem in the derivation is that it is inappropriate to directly extend the results of Mindlin’s superposition method for the elastostatic half-space problem to the dynamic case. The superposition of the six full-space elastodynamic solutions does not satisfy the required boundary conditions of the half-space elastodynamic problem as in the static case and thus does not solve the dynamic half-space problem.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2717810

DOI: 10.1155/2016/2717810

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