Journal ArticleDOI
A few remarks on Biot's model and linear acoustics of poroelastic saturated materials
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TLDR
In this article, the admissibility of four contributions characteristic for Biot's model of poroelastic materials: coupling of partial stresses, presence of relative accelerations in equations of motion, dependence of permeability on frequency and changes of porosity is demonstrated.About:
This article is published in Soil Dynamics and Earthquake Engineering.The article was published on 2006-06-01. It has received 65 citations till now. The article focuses on the topics: Poromechanics & Biot number.read more
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Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods
TL;DR: In this paper, an overview on poroelastodynamic models and some analytical solutions is presented, with a focus on dynamic formulations and the quasi-static case is not considered at all.
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Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach
TL;DR: In this paper, a general set of boundary conditions at fluid-permeable interfaces between dissimilar fluid-filled porous matrices is established starting from an extended Hamilton-Rayleigh principle.
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(De)compaction of porous viscoelastoplastic media: Model formulation
TL;DR: In this paper, a nonlinear viscoelastoplastic theory for porous rate-dependent materials filled with a fluid in the presence of gravity is developed based on a rigorous thermodynamic formalism suitable for pathdependent and irreversible processes.
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Propagation and attenuation of Rayleigh waves in a semi-infinite unsaturated poroelastic medium
TL;DR: An analytical model for describing the propagation and attenuation of Rayleigh waves along the free surface of an elastic porous medium containing two immiscible, viscous, compressible fluids is developed in this article.
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A general approach to isothermal hyperelastic modelling of saturated porous media at finite strains with compressible solid constituents
TL;DR: In this article, a general approach is proposed for defining the macroscopic free-energy function of a saturated porous medium subjected to finite deformations, under isothermal conditions, in the case of compressible fluid and solid constituents.
References
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Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
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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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Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.