Abstract
In this paper, three-dimensional dynamic response of a cylindrical cavity in a half-space of soil under uniform normal traction applied at the cavity surface is studied numerically. The surrounding soil is treated as a partially saturated porous medium, and the governing equations for the dynamic problem are presented. Analysis of the problem is preformed in the Laplace domain using the direct boundary element technique. The technique is employed together with the Laplace inverse transform by the stepped method to obtain the time-domain solutions. A parametric study is presented to demonstrate the effect of poroelastic material parameters and geometrical parameters on the response of the cavity.
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Acknowledgements
The work was employed under financial support the Ministry of Science and Higher Education of the Russian Federation (task 0729–2020-0054) at the part of boundary-value problem statement and boundary-element formulation. The work on numerical experiments in the framework of the poroelastic model of the material was done with the financial support of RFBR (project number 19-38-90224).
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Petrov, A.N., Grigoryev, M.V., Igumnov, L.A. (2022). Three-Dimensional Dynamic Response of a Cylindrical Cavity in a Half-Space of Partially Saturated Soil Under Internal Step-Loading. In: Altenbach, H., Eremeyev, V.A., Galybin, A., Vasiliev, A. (eds) Advanced Materials Modelling for Mechanical, Medical and Biological Applications. Advanced Structured Materials, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-81705-3_20
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