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Stationary Dynamic Displacement Solutions for a Rectangular Load Applied within a 3D Viscoelastic Isotropic Full Space—Part I: Formulation

Euclides Mesquita, Edivaldo Romanini and Josue Labaki

Mathematical Problems in Engineering, 2012, vol. 2012, 1-20

Abstract:

A dynamic stationary semianalytical solution for a spatially constant load applied over a rectangular surface within a viscoelastic isotropic full space is presented. The solution is obtained within the frame of a double Fourier integral transform. Closed-form solutions for general loadings within the full space are furnished in the transformed wave number domain. Expressions for three boundary value problems, associated to a normal and two tangential rectangular loadings in the original physical space, are given in terms of a double inverse Fourier integral. These inverse integral transforms must be evaluated numerically. In the second part of the present paper a strategy to evaluate these integrals is described, the procedure validated and a number of original results are reported.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:216297

DOI: 10.1155/2012/216297

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