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Surface Waves in Dissipative Poroviscoelastic Layered Half Space: Boundary Element Analyses

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Dynamical Processes in Generalized Continua and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 103))

Abstract

Wave propagation in a poroelastic layer located on a poroelastic halfspace is studied. A fully saturated poroelastic medium is described using Biot’s mathematical model with four base functions—pore pressure and skeleton displacements. Viscoelastic behavior of porous medium due to viscoelastic properties of the skeleton is considered. The standard viscoelastic solid model is used. The boundary-value problem of the three-dimensional dynamic poroelasticity is written in terms of Laplace transforms. Direct approach of the boundary integral equation (BIE) method is employed. The boundary-element approach is based on the mixed boundary-element discretization of surface with generalized quadrangular elements. Time-step scheme for numerical inversion of the Laplace transforms is used obtain the solution of boundary value problem. To verify the boundary-element model, poroelastic solutions are compared with elastic ones.

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Acknowledgements

This work was supported by a grant from the Government of the Russian Federation (contract No. 14.Y26.31.0031).

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Authors and Affiliations

  1. Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod, Russia

    F. Dell’Isola, L. A. Igumnov, S. Yu. Litvinchuk, A. A. Ipatov, A. N. Petrov & I. A. Modin

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  1. F. Dell’Isola
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  2. L. A. Igumnov
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  3. S. Yu. Litvinchuk
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  4. A. A. Ipatov
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  5. A. N. Petrov
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  6. I. A. Modin
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Correspondence to L. A. Igumnov .

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Editors and Affiliations

  1. Lehrstuhl Technische Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Alexander Belyaev

  3. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  4. Department of Theoretical Mechanics, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    Anton Krivtsov

  5. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    Alexey V. Porubov

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Dell’Isola, F., Igumnov, L.A., Litvinchuk, S.Y., Ipatov, A.A., Petrov, A.N., Modin, I.A. (2019). Surface Waves in Dissipative Poroviscoelastic Layered Half Space: Boundary Element Analyses. In: Altenbach, H., Belyaev, A., Eremeyev, V., Krivtsov, A., Porubov, A. (eds) Dynamical Processes in Generalized Continua and Structures. Advanced Structured Materials, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-030-11665-1_17

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  • DOI: https://doi.org/10.1007/978-3-030-11665-1_17

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