Journal ArticleDOI
Constitutive Relation of Unsaturated Soil by Use of the Mixture Theory (I)-Nonlinear Constitutive Equations and Field Equations
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The nonlinear constitutive equations and field equations of unsaturated soils were constructed on the basis of mixture theory in this article, where the soils were treated as the mixture composed of three constituents.Abstract:
The nonlinear constitutive equations and field equations of unsaturated soils were constructed on the basis of mixture theory. The soils were treated as the mixture composed of three constituents. First, from the researches of soil mechanics, some basic assumptions about the unsaturated soil mixture were made, and the entropy inequality of unsaturated soil mixture was derived. Then, with the common method usually used to deal with the constitutive problems in mixture theory, the nonlinear constitutive equations were obtained. Finally, putting the constitutive equations of constituents into the balance equations of momentum, the nonlinear field equations of constituents were set up. The balance equation of energy of unsaturated soil was also given, and thus the complete equations for solving the thermodynamic process of unsaturated soil was formed.read more
Citations
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Journal ArticleDOI
A thermodynamical gradient theory for deformation and strain localization of porous media
Javier L. Mroginski,Javier L. Mroginski,Guillermo Etse,Guillermo Etse,Sonia M. Vrech,Sonia M. Vrech +5 more
TL;DR: In this paper, a thermodynamically consistent gradient formulation for partially saturated cohesive-frictional porous media is proposed, which includes a classical or local hardening law and a softening formulation with state parameters of non-local character based on gradient theory.
Journal ArticleDOI
Thermodynamically consistent multiscale homogenization for thermo-poroplastic materials
TL;DR: In this paper, a thermodynamically consistent multiscale homogenization approach for saturated and dissipative porous media involving multiphysical complexities is proposed, which allows the formulation of coupled constitutive behavior, including thermo-, hydro- and/or mechanical interaction.
Book ChapterDOI
The Analysis of Unsaturated Ground Vibration Induced by Train Loading by 2.5D FEM
TL;DR: In this paper, two kinds of numerical models for unsaturated porous medium are used to simulate the unsaturated ground vibration induced by train loading, to study the influences of saturation on ground vibration and to discuss the differences of the two numerical models.
References
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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
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.
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.
Book
Soil Mechanics for Unsaturated Soils
TL;DR: In this paper, the Mecanique des sols reference record was created on 2004-09-07, modified on 2016-08-08, and it was used for the Sols non satures reference record.