Trends in continuum mechanics of porous media

Contents......Page 9
Preface......Page 7
1 INTRODUCTION......Page 13
2 VOLUME FRACTION CONCEPT......Page 17
3.1 Basic Relations......Page 19
3.2 Kinematics of Micropolar Constituents......Page 29
4.1 Balance of Mass......Page 32
4.2 Balance of Momentum and Moment of Momentum......Page 34
4.3 Balance of Energy......Page 37
5.1 Preliminaries......Page 40
5.2 Basic Inequality for Non-Polar Constituents and the Mixture Body......Page 41
6.1 Preliminaries......Page 43
6.2 Closure Problem and Constraints......Page 44
6.3 Reformulation of the Entropy Inequality......Page 47
6.4 Exploitation of the Inequality for Ternary and Binary Capillary Porous Models......Page 49
a) Finite Theories......Page 64
b) Linear Theory......Page 65
c) Other Approaches......Page 68
a) General Theory......Page 71
b) Special Stress-Strain Relations......Page 83
6.7 Viscous Behavior of the Solid Skeleton......Page 86
a) Inviscid Porefluids......Page 88
b) Viscous Porefluids......Page 89
7.1 Introduction......Page 91
7.2 Basic Equations......Page 92
7.3 Uplift......Page 93
7.4 Friction......Page 96
7.5 Capillarity......Page 97
a) Basic Relations......Page 98
b) One-Dimensional Capillary Motion......Page 100
c) Two-Dimensional Capillary Motion (an Example)......Page 104
7.6 Effective Stresses......Page 105
a) Theoretical Foundation......Page 107
b) Drying Processes......Page 108
c) Freezing Processes......Page 112
8.1 Introduction......Page 117
8.2 The Fundamental Field Equations of Poroelasticity......Page 122
8.3 Main Equations for an Incompressible Binary Model......Page 125
a) Fundamental Solution of the System of Equations of Steady Oscillations in the Theory of Fluidsaturated Porous Media......Page 128
b) On the Representations of Solutions in the Theory of Fluidsaturated Porous Media......Page 136
8.5 Wave Propagation......Page 148
a) Plane Waves in a Semi-Infinite Liquidsaturated Porous Medium......Page 149
b) Propagation of Acceleration Waves in Saturated Porous Solids......Page 171
c) Growth and Decay of Acceleration Waves......Page 177
d) Dispersion and Attenuation of Surface Waves in a Saturated Porous Medium......Page 186
e) Inhomogeneous Plane Waves, Mechanical Energy Flux, and Energy Dissipation in a Two-Phase Porous Medium......Page 197
f) Propagation and Evolution of Wave Fronts in Saturated Porous Solids......Page 209
9 POROPLASTICITY FOR METALLIC POROUS SOLIDS......Page 215
a) Rigid Ideal-Plastic Behavior......Page 216
b) Elastic-Plastic Behavior with Hardening......Page 217
a) Preliminaries......Page 222
b) The Uniqueness Theorem for Solutions of Boundary Value Problems......Page 228
c) Minimum and Maximum Principles for Rigid Ideal-Plastic Behavior......Page 231
a) Consolidation Problem and Localization Phenomena......Page 237
b) Phase Transitions......Page 240
c) Dynamics......Page 241
a) Powder Compaction......Page 242
b) Drying Processes......Page 244
10.3 Building Physics......Page 246
a) Transport of Moisture......Page 247
b) Heat Conduction in a Fluidsaturated Capillary-Porous Solid......Page 251
10.4 Biomechanics......Page 255
10.5 Some Other Fields of Application......Page 258
11 CONCLUSIONS AND OUTLOOK......Page 261
References......Page 263
G......Page 283
P......Page 284
Z......Page 285
D......Page 286
O......Page 287
Y......Page 288