Journal ArticleDOI
Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
O. C. Zienkiewicz,T. Shiomi +1 more
TLDR
In this article, the basic equations of motion for porous media were established by Biot and despite many subsequent re-derivations, are, with minor modifications, relevant today, however, some changes of variables and approximations are on occasion useful, and their relative efficiency of solution in the numerical context is discussed.Abstract:
The basic equations of motion for porous media were established by Biot and despite many subsequent rederivations, are, with minor modifications, relevant today. However, some changes of variables and approximations are on occasion useful, and this paper discusses the alternative forms available and their relative efficiency of solution in the numerical context. Here penaity methods prove once again useful. The paper is illustrated with examples covering phenomena of different periods ranging froms hock excitation to slow consolidation which are treated in a single unified program.read more
Citations
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Book ChapterDOI
Fundamentals of Poroelasticity
TL;DR: In this paper, the authors focus on the fundamentals of poroelasticity, and discuss the formulation and analysis of coupled deformation-diffusion processes, within the framework of the Biot theory of pore elasticity.
Book ChapterDOI
Stabilized Finite Element Methods
TL;DR: A brief overview of stabilized finite element methods and their application to the advection-diffusion equation is given in this paper, along with a discussion of the developments applied to these methods.
Journal ArticleDOI
Static and Dynamic Behaviour of Soils: A Rational Approach to Quantitative Solutions. II. Semi-Saturated Problems
TL;DR: In this article, the authors describe the basic procedures and the development of a general purpose computer program (SWANDYNE-X) for solving deformations in geomaterials.
Journal ArticleDOI
A depth-integrated, coupled SPH model for flow-like landslides and related phenomena
TL;DR: In this article, a depth-integrated, coupled, mathematical model is derived from the velocity-pressure version of the Biot-Zienkiewicz model, which is used in soil dynamics.
Journal ArticleDOI
Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method
TL;DR: In this article, two approaches to model soil-pore fluid coupling in large-deformation analysis using the material point method (MPM) are introduced; one on a model levee failure and the other on a natural cut slope failure (the Selborne experiment conducted by Cooper and co-workers in 1998).
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.