International Applied Mechanics

, Volume 50, Issue 6, pp 688–698 | Cite as

Waves in a Porous Viscoelastic Material Saturated with a Fluid

  • R. M. Israfilov
  • E. V. Savel’eva

The problem for a fluid-saturated porous viscoelastic material is a direct analogy of the problem for a saturated elastic material solved earlier. The material is theoretically described using Biot’s classical linear model. The system of coupled integro-differential equations for the displacements of the skeleton and fluid is derived using the Volterra principle and Rabotnov’s operator method. The propagation of linear elastic waves in a half-space subject to a short harmonic pulse of given frequency is studied. The problem is solved using the Laplace transform method. The analytical solution in the frequency domain is obtained taking into account the viscoelastic properties of the skeleton. The inverse transformation procedure is described in detail


linear viscoelastic wave viscoelastic half-space short pulse Laplace transform method Rabotnov’s operator method 


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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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