Acknowledgements |
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vii | |
Preface |
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ix | |
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1 | (6) |
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7 | (45) |
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7 | (1) |
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2.2 Reference Coordinate System: Notations |
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8 | (2) |
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10 | (10) |
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20 | (21) |
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41 | (11) |
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3 Physical Laws and Governing Equations |
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52 | (13) |
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52 | (1) |
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53 | (1) |
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3.3 Total and Effective Stresses in Soils |
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53 | (2) |
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3.4 Law of Conservation of Momentum: Equilibrium Equations |
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55 | (3) |
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3.5 Law of Conservation of Mass |
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58 | (7) |
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PART II Elemental Response: Constitutive Models |
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65 | (1) |
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II Soil Behavior: From Experimental Results |
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66 | (2) |
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III Modeling of Soil Behavior |
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68 | (1) |
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69 | (11) |
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4.1 Elastic Constitutive Law |
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69 | (11) |
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5 Plasticity Theory: Nonlinear Deformation of Soils |
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80 | (63) |
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80 | (1) |
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5.2 Nonlinear Deformation of Soils |
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81 | (1) |
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5.3 Elements of Plasticity |
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82 | (1) |
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82 | (5) |
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87 | (3) |
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90 | (9) |
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99 | (19) |
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5.8 Loading/Unloading Criterion |
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118 | (3) |
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121 | (22) |
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6 Viscoelasticity and Viscoplasticity |
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143 | (80) |
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143 | (2) |
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6.2 Viscoelastic Behavior: Fundamental Rheological Models |
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145 | (1) |
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6.3 Viscoelastic Behavior: Composite Rheological Models |
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146 | (6) |
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6.4 Formulation Methods in Viscoelasticity |
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152 | (6) |
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6.5 1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading |
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158 | (14) |
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172 | (8) |
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180 | (43) |
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PART III System Response: Methods of Analyses |
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223 | (60) |
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223 | (1) |
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7.2 1-D Flow through a Land Mass: Island Recharge Problem |
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223 | (3) |
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7.3 Regional Groundwater Flow: Steady State Seepage |
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226 | (6) |
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7.4 1-D Deformation of a Soil Column |
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232 | (2) |
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7.5 1-D Consolidation of a Soil Column: Decoupled Flow and Deformation |
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234 | (7) |
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7.6 Contaminant Transport |
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241 | (8) |
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7.7 1-D Coupled Flow and Deformation |
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249 | (5) |
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7.8 2-D Coupled Flow and Deformation |
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254 | (9) |
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263 | (20) |
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8 Semi-Analytical Methods |
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283 | (36) |
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283 | (1) |
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283 | (16) |
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8.3 Quasi-Static Analysis of Multi-Layer Porous Media under Waves |
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299 | (8) |
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307 | (12) |
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9 Finite Difference Method |
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319 | (47) |
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319 | (1) |
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9.2 Finite Difference Approximation of Derivatives |
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319 | (7) |
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9.3 FDM for Consolidation (Parabolic) Equation |
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326 | (9) |
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9.4 FDM for Seepage (Laplace) Equation: 2-D Steady State Flow |
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335 | (4) |
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9.5 FDM for Groundwater Flow: Aquifer Simulation |
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339 | (2) |
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9.6 FDM for Consolidation of a Layered System |
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341 | (10) |
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9.7 FDM for Laterally Loaded Piles: Soil-Structure Interaction |
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351 | (3) |
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9.8 Error, Convergence and Stability |
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354 | (5) |
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359 | (7) |
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366 | (104) |
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366 | (1) |
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10.2 Direct Stiffness Method |
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366 | (6) |
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10.3 Galerkin Method of Weighted Residual |
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372 | (7) |
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379 | (25) |
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404 | (8) |
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10.6 Basic Element Formulations |
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412 | (15) |
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10.7 The Principle of Minimum Potential Energy |
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427 | (2) |
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10.8 Isoparametric Element Formulation |
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429 | (8) |
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437 | (33) |
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470 | (17) |
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A.1 Fourier Series and Fourier Transform |
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470 | (5) |
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475 | (1) |
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A.3 MATLAB Commands: FFT, IFFT, FFTSHIFT |
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476 | (1) |
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A.4 Solution Flow Chart for the Analysis of a Viscoelastic Material |
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477 | (1) |
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A.5 Analytical Solution of Wave-Induced Porous Soil Layer Response |
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478 | (4) |
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A.6 Semi-Analytical Solution of Wave-Induced Multi-Layer Porous Soil Response |
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482 | (5) |
References |
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487 | (3) |
Index |
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490 | |