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

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  • Euclides Mesquita
  • Edivaldo Romanini
  • Josue Labaki

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.

Suggested Citation

  • Euclides Mesquita & Edivaldo Romanini & Josue Labaki, 2012. "Stationary Dynamic Displacement Solutions for a Rectangular Load Applied within a 3D Viscoelastic Isotropic Full Space—Part I: Formulation," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, January.
    • Handle: RePEc:hin:jnlmpe:216297
    DOI: 10.1155/2012/216297
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