Abstract
In the present paper wave propagation in poroviscoelastic solids is studied. Research is dedicated to modeling of a slow compressional wave in poroviscoelastic media by means of boundary-element method. Poroviscoelastic formulation is based on Biot’s model of fully saturated poroelastic media with a correspondence principal usage. Standard linear solid model is employed in order to describe viscoelastic behavior of the skeleton in porous medium. The boundary-value problem of the threedimensional dynamic poroviscoelasticity is written in terms of Laplace transforms. Modified Durbin’s algorithm of numerical inversion of Laplace transform is used to perform solutions in time domain. The problem of the load acting on a poroelastic prismatic solid is solved by means of developed software based on boundary element approach.
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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) at the part problem formulation, numerical schemes modification and its verification, work was also supported by a grant of the Russian Science Foundation (16-19-10237-P) at the part of obtaining numerical results of permeability coefficient influence on poroviscoelastic responses.
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Igumnov, L.A., Ipatov, A.A., Litvinchuk, S.Y. (2020). Numerical Analysis of Permeability Coefficient Influence on Dynamic Responses in Poroviscoelastic Solids Using BEM. In: Abali, B., Giorgio, I. (eds) Developments and Novel Approaches in Nonlinear Solid Body Mechanics. Advanced Structured Materials, vol 130. Springer, Cham. https://doi.org/10.1007/978-3-030-50460-1_25
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