Mechanics and thermodynamics of saturated/unsaturated porous materials and quantitative solutions*

[1]  Jacob Bear,et al.  Macroscopic modelling of transport phenomena in porous media. 1: The continuum approach , 1986 .

[2]  M. Pakzad Modelisation du comportement hydro-mecanique des argiles gonflantes a faible porosite , 1995 .

[3]  C. D. Prisco,et al.  Un semplice approccio teorico per la modellazione del comportamento meccanico di terreni granulari parzialmente saturi , 1994 .

[4]  A. W. Bishop,et al.  The Principle of Effective Stress , 1959 .

[5]  John H. Cushman,et al.  Multiscale, hybrid mixture theory for swelling systems—I: balance laws , 1996 .

[6]  P. Royer,et al.  Double conductivity media: a comparison between phenomenological and homogenization approaches , 1993 .

[7]  J. Auriault Nonsaturated deformable porous media: Quasistatics , 1987 .

[8]  Bernhard A. Schrefler,et al.  A multi‐level frontal algorithm for finite element analysis and its implementation on parallel computation , 1999 .

[9]  Hywel Rhys Thomas,et al.  Solving coupled thermo-hydro-mechanical problems in unsaturated soil using a substructuring-frontal technique , 1998 .

[10]  Stephen Whitaker,et al.  Heat conduction in multiphase systems—I: Theory and experiment for two-phase systems , 1985 .

[11]  Robert L. Schiffman,et al.  An Analysis of Consolidation Theories , 1969 .

[12]  Y. Cui,et al.  Yielding and plastic behaviour of an unsaturated compacted silt , 1996 .

[13]  William G. Gray,et al.  Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries , 1990 .

[14]  Gilles Pijaudier-Cabot,et al.  CONTINUUM DAMAGE THEORY - APPLICATION TO CONCRETE , 1989 .

[15]  M. Pastor,et al.  Static and dynamic behaviour of soils : a rational approach to quantitative solutions. I. Fully saturated problems , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  R. H. Brooks,et al.  Properties of Porous Media Affecting Fluid Flow , 1966 .

[17]  B. Schrefler,et al.  A case study of the surface subsidence of the Polesine area , 1977 .

[18]  I. Vardoulakis Dynamic stability analysis of undrained simple shear on water‐saturated granular soils , 1986 .

[19]  Hywel Rhys Thomas,et al.  Analysis of coupled heat, moisture and air transfer in a deformable unsaturated soil , 1995 .

[20]  Bernhard A. Schrefler,et al.  A parallel algorithm for thermo-hydro-mechanical analysis of deforming porous media , 1996 .

[21]  Antonio Gens,et al.  A constitutive model for partially saturated soils , 1990 .

[22]  Reint de Boer,et al.  Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory , 1996 .

[23]  W. Ehlers,et al.  On finite dynamic equations for fluid-saturated porous media , 1994 .

[24]  John H. Cushman,et al.  Multiscale, hybrid mixture theory for swelling systems—II: constitutive theory , 1996 .

[25]  J. C. Small,et al.  Elasto-plastic consolidation of soil , 1976 .

[26]  Wang Xi-cheng,et al.  A multi‐frontal parallel algorithm for coupled thermo–hydro–mechanical analysis of deforming porous media , 1998 .

[27]  Pierre Delage,et al.  Subsidence and capillary effects in chalks , 2008, 0803.1308.

[28]  K. C. Park,et al.  Partitioned Transient Analysis Procedures for Coupled-Field Problems. , 1979 .

[29]  M. Geraminegad,et al.  A coupled thermoelastic model for saturated–unsaturated porous media , 1986 .

[30]  William G. Gray,et al.  General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations , 1979 .

[31]  W. Gray Elements of a Systematic Procedure for the Derivation of Macroscale Conservation Equations for Multiphase Flow in Porous Media , 1999 .

[32]  D. Murray,et al.  On Solutions of Plane Strain Consolidation Problems by Finite Element Methods , 1971 .

[33]  Bernard Schrefler,et al.  An interal length scale in dynamic strain localization of multiphase porous media , 1999 .

[34]  Luciano Simoni,et al.  A coupled model for water flow, airflow and heat flow in deformable porous media , 1995 .

[35]  Stephen C. Cowin,et al.  A continuum theory for granular materials , 1972 .

[36]  J. H. Cushman,et al.  Coupled Solvent and Heat Transport of a Mixture of Swelling Porous Particles and Fluids: Single Time-Scale Problem , 1999 .

[37]  A. Gens,et al.  Nonisothermal multiphase flow of brine and gas through saline media , 1994 .

[38]  John T. Christian,et al.  PLANE STRAIN CONSOLIDATION BY FINITE ELEMENTS , 1970 .

[39]  Jacob Bear,et al.  Macroscopic modelling of transport phenomena in porous media. 2: Applications to mass, momentum and energy transport , 1986 .

[40]  Bernhard A. Schrefler,et al.  Some Considerations on Modeling Heat and Mass Transfer in Porous Media , 1997 .

[41]  William G. Gray,et al.  Paradoxes and Realities in Unsaturated Flow Theory , 1991 .

[42]  R. M. Bowen,et al.  Incompressible porous media models by use of the theory of mixtures , 1980 .

[43]  Jean-Herve Prevost,et al.  Dynamic Strain Localization in Fluid‐Saturated Porous Media , 1991 .

[44]  D. Fredlund,et al.  The shear strength of unsaturated soils , 1978 .

[45]  Martin R. Okos,et al.  On multicomponent, multiphase thermomechanics with interfaces , 1994 .

[46]  Bernhard A. Schrefler,et al.  A FULLY COUPLED MODEL FOR WATER FLOW AND AIRFLOW IN DEFORMABLE POROUS MEDIA , 1993 .

[47]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[48]  Giulio Maier,et al.  Shakedown analysis in poroplasticity by linear programming , 2000 .

[49]  Bernhard A. Schrefler,et al.  Coupled heat, water and gas flow in deformable porous media , 1995 .

[50]  B. Schrefler,et al.  Elastoplastic subsidence models with and without capillary effects , 1999 .

[51]  K. Morgan,et al.  The mechanisms of ground surface subsidence above compacting multiphase reservoirs and their analysis by the finite element method , 1980 .

[52]  Wolfgang Ehlers,et al.  A single-surface yield function for geomaterials , 1995 .

[53]  D. Fredlund,et al.  STRESS STATE VARIABLES FOR UNSATURATED SOILS , 1977 .

[54]  Bernard Schrefler,et al.  A multiphase medium model for localisation and postlocalisation simulation in geomaterials , 1996 .

[55]  J. Auriault Dynamic Behavior of Porous Media , 1991 .

[56]  S. L. Passman,et al.  A Theory of Multiphase Mixtures , 1984 .

[57]  H. T. Yang,et al.  A sub‐structure based parallel solution of coupled thermo‐hydro‐mechanical modelling of unsaturated soil , 1999 .

[58]  John R. Rice,et al.  On the Stability of Dilatant Hardening for Saturated Rock Masses , 1975 .

[59]  M. Biot General solutions of the equations of elasticity and consolidation for a porous material , 1956 .

[60]  W. Durand Dynamics of Fluids , 1934 .

[61]  H. Nagaoka,et al.  Finite Element Method Applied to Biot’s Consolidation Theory , 1971 .

[62]  J. C. Small,et al.  The analysis of finite elasto-plastic consolidation , 1979 .

[63]  A. M. Abdel-Ghaffar,et al.  Nonlinear Dynamic Analyses of an Earth Dam , 1985 .

[64]  Tsuyoshi Miyazaki,et al.  THEORETICAL ASPECTS OF CONSTITUTIVE MODELLING FOR UNSATURATED SOILS , 1993 .

[65]  R. O. Davis,et al.  DILATION-INDUCED PORE FLUID CAVITATION IN SANDS , 1997 .

[66]  Lyesse Laloui,et al.  Thermodynamically based mixture models of saturated and unsaturated soils , 1999 .

[67]  Bernhard A. Schrefler,et al.  Shear band localization in saturated porous media , 1995 .

[68]  K. Wilmanski Lagrangean Model of Two-Phase Porous Material , 1995 .

[69]  John H. Cushman,et al.  Macroscale Thermodynamics and the Chemical Potential for Swelling Porous Media , 1997 .

[70]  Olivier Coussy,et al.  Mechanics of porous continua , 1995 .

[71]  Bernhard A. Schrefler,et al.  Thermo‐hydro‐mechanical analysis of partially saturated porous materials , 1996 .

[72]  Roberto Nova,et al.  A Mixed Isotropic-Kinematic Hardening Constitutive Law for Sand , 1993 .

[73]  J. R. Philip,et al.  Moisture movement in porous materials under temperature gradients , 1957 .

[74]  O. Zienkiewicz,et al.  Large Strain Static and Dynamic Semisaturated Soil Behaviour , 1995 .

[75]  A Gens,et al.  CONSTITUTIVE MODELLING: APPLICATION TO COMPACTED SOILS , 1996 .

[76]  Walter Noll,et al.  The thermodynamics of elastic materials with heat conduction and viscosity , 1963 .

[77]  Hidekazu Murata,et al.  YIELD CHARACTERISTICS OF ANISOTROPICALLY CONSOLIDATED SAND UNDER LOW AND HIGH STRESSES , 1991 .

[78]  Bernhard A. Schrefler,et al.  The effective stress principle: Incremental or finite form? , 1996 .

[79]  Giulio Maier,et al.  Static shakedown theorems in piecewise linearized poroplasticity , 1998 .

[80]  K. Roscoe,et al.  ON THE GENERALIZED STRESS-STRAIN BEHAVIOUR OF WET CLAY , 1968 .

[81]  William G. Gray,et al.  General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow. , 1980 .

[82]  Simon J. Wheeler,et al.  An elasto-plastic critical state framework for unsaturated soil , 1995 .

[83]  William G. Gray,et al.  Thermodynamics and constitutive theory for multiphase porous-media flow considering internal geometric constraints , 1999 .

[84]  E. Wilson,et al.  Flow of compressible fluid in porous elastic media , 1973 .

[85]  S. D. Groot,et al.  Thermodynamics of Irreversible Processes , 2018, Principles of Thermodynamics.

[86]  K. Hutter,et al.  On the thermodynamics of a mixture of isotropic materials with constraints , 1995 .

[87]  Byung Chan Eu,et al.  Kinetic Theory and Irreversible Thermodynamics , 1992 .

[88]  J. Rudnicki Effects of dilatant hardening on the development of concentrated shear deformation in fissured rock masses , 1984 .

[89]  O. Zienkiewicz,et al.  Strain localisation modelling and pore pressure in saturated sand samples , 1998 .

[90]  Jean H. Prevost Consolidation of Anelastic Porous Media , 1981 .

[91]  S. Majid Hassanizadeh,et al.  Derivation of basic equations of mass transport in porous media, Part 2. Generalized Darcy's and Fick's laws , 1986 .

[92]  Bernhard A. Schrefler,et al.  Numerical analysis of hygro-thermal behaviour and damage of concrete at high temperature , 1999 .

[93]  A. Burshtein,et al.  Introduction to Thermodynamics and Kinetic Theory of Matter, 2nd Edition , 1995 .

[94]  Bernhard A. Schrefler,et al.  Parameter identification for a suction‐dependent plasticity model , 2001 .

[95]  S. H. Advani,et al.  Variational principles and finite element simulations for thermo-elastic consolidation , 1985 .

[96]  O. C. Zienkiewicz,et al.  A numerical model for immiscible two‐phase fluid flow in a porous medium and its time domain solution , 1990 .

[97]  G. Pinder,et al.  Vertical and horizontal land deformation in a desaturating porous medium , 1979 .

[98]  F. J. Santarelli,et al.  Basin scale rock mechanics: Field observations of sand production , 1994 .

[99]  State Surfaces of Partially Saturated Soils: An Effective Pressure Approach , 1995 .

[100]  Leslie Morland,et al.  A simple constitutive theory for a fluid-saturated porous solid , 1972 .

[101]  O. C. Zienkiewicz,et al.  Elastoplastic soil constitutive laws generalized to partially saturated states , 1996 .

[102]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[103]  D. G. Fredlund,et al.  A mathematical model for predicting moisture flow in an unsaturated soil under hydraulic and temperature gradients , 1981 .

[104]  William G. Gray,et al.  Unsaturated Flow Theory Including Interfacial Phenomena , 1991 .

[105]  Roberto Scotta,et al.  A fully coupled dynamic model for two-phase fluid flow in deformable porous media , 2001 .

[106]  Hywel Rhys Thomas,et al.  Modelling transient heat and moisture transfer in unsaturated soil using a parallel computing approach , 1995 .

[107]  Giuseppe Gambolati,et al.  Mathematical Simulation of the Subsidence of Ravenna , 1991 .

[108]  O. C. Zienkiewicz,et al.  Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems , 1988 .

[109]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[110]  William G. Gray,et al.  Thermodynamic approach to effective stress in partially saturated porous media , 2001 .

[111]  William G. Gray,et al.  General conservation equations for multi-phase systems: 1. Averaging procedure , 1979 .

[112]  O. Zienkiewicz,et al.  Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution , 1984 .

[113]  J. Auriault Effective macroscopic description for heat conduction in periodic composites , 1983 .

[114]  J. Bear,et al.  Mathematical model for regional land subsidence due to pumping: 2. Integrated aquifer subsidence equations for vertical and horizontal displacements , 1981 .

[115]  Carmelo E. Majorana,et al.  A coupled finite element model for the consolidation of nonisothermal elastoplastic porous media , 1986 .