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Vertical vibration of a circular foundation in a transversely isotropic poroelastic soil

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TLDR
In this paper, Hankel integral transforms are applied to solve the time-harmonic vertical vibration of a flexible circular foundation by using variational methods to demonstrate the influence of soil anisotropy, poroelasticity, foundation flexibility, depth of embedment and frequency of excitation on the vertical dynamic response of foundation and the force transmitted to soil.
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This article is published in Computers and Geotechnics.The article was published on 2020-06-01. It has received 28 citations till now. The article focuses on the topics: Poromechanics & Isotropy.

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Citations
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Analytical solution for longitudinal vibration of a floating pile in saturated porous media based on a fictitious saturated soil pile model

TL;DR: In this paper, a new analytical approach for the vertical vibration of a floating pile in saturated viscoelastic soil is proposed, by combining the differential operator method with a fictitious saturated soil pile (FSSP) model.
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A new approach for longitudinal vibration of a large-diameter floating pipe pile in visco-elastic soil considering the three-dimensional wave effects

TL;DR: In this article, a novel approach is presented to describe the dynamic interaction system of a large-diameter floating pipe pile and surrounding soils, taking the three-dimensional wave effects into account.
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Vertical time-harmonic coupling vibration of an impermeable, rigid, circular plate resting on a finite, poroelastic soil layer

TL;DR: In this paper, the coupling steady-state vibration of an impermeable, rigid, circular plate resting on a finite, fluid-saturated, poroelastic soil layer underlain by rigid base and subjected to a vertical time-harmonic loading is studied.
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Undrained Stability of Unsupported Conical Slopes in Anisotropic Clays Based on Anisotropic Undrained Shear Failure Criterion

TL;DR: In this article, the authors presented novel stability solutions of unsupported conical slopes in anisotropic clays by using the lower bound and upper bound finite element limit analyses under an axisymmetric condition.
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Pullout Capacity Factor for Cylindrical Suction Caissons in Anisotropic Clays Based on Anisotropic Undrained Shear Failure Criterion

TL;DR: In this paper, the pullout capacity of cylindrical suction caissons in anisotropic clays is derived by employing the lower bound and upper bound finite element limit analyses under an axisymmetric condition.
References
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Book

Theory of plates and shells

TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
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General Theory of Three‐Dimensional Consolidation

TL;DR: In this article, the number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three-dimensional problems.
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Mechanics of deformation and acoustic propagation in porous media

TL;DR: In this paper, a unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived, including anisotropic media, solid dissipation, and other relaxation effects.
Book

Variational Methods in Elasticity and Plasticity

TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
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Theory of elasticity and consolidation for a porous anisotropic solid

TL;DR: In this paper, the elasticity and consolidation theory of isotropic materials is extended to the general case of anisotropy and the method of derivation is also different and more direct.
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