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Rayleigh Surface Waves on a Kelvin-Voigt Viscoelastic Half-Space

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Abstract

In this paper we consider the propagation of Rayleigh surface waves in an exponentially graded half-space made of an isotropic Kelvin-Voigt viscoelastic material. Here we take into account the effect of the viscoelastic dissipation energy upon the corresponding wave solutions. As a consequence we introduce the damped in time wave solutions and then we treat the Rayleigh surface wave problem in terms of such solutions. The explicit form of the secular equation is obtained in terms of the wave speed and the viscoelastic inhomogeneous profile. Furthermore, we use numerical methods and computations to solve the secular equation for some special homogeneous materials. The results sustain the idea, existent in literature on the argument, that there is possible to have more than one surface wave for the Rayleigh wave problem.

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Acknowledgement

We express our gratitude to the referees for their helpful suggestions and comments. The work by the author SC was supported by the Romanian Ministry of Education and Research and Innovation through the CNCS grant PN-II-ID-PCE-2012-4-0068.

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Authors and Affiliations

  1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, 700506, Iaşi, Romania

    Stan Chiriţă

  2. Octav Mayer Mathematics Institute, Romanian Academy, 700505, Iaşi, Romania

    Stan Chiriţă

  3. University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, SA, Italy

    Michele Ciarletta & Vincenzo Tibullo

Authors
  1. Stan Chiriţă
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  2. Michele Ciarletta
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  3. Vincenzo Tibullo
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Correspondence to Stan Chiriţă.

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Chiriţă, S., Ciarletta, M. & Tibullo, V. Rayleigh Surface Waves on a Kelvin-Voigt Viscoelastic Half-Space. J Elast 115, 61–76 (2014). https://doi.org/10.1007/s10659-013-9447-0

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  • DOI: https://doi.org/10.1007/s10659-013-9447-0

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