Preface |
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ix | |
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1 Granular Materials as Soft Solids |
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1 | (4) |
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1.1 Soil and Geotechnical Engineering |
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1 | (1) |
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1.2 Granulates in Chemical Engineering |
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2 | (1) |
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1.3 Can We Consider Granular Media as Continua? |
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2 | (1) |
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1.4 Differences between Granulates and Other Solids |
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3 | (2) |
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2 Mechanical Behaviour of Soil: Experimental Results |
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5 | (20) |
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2.1 The Meaning of Mechanical Behaviour |
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5 | (1) |
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5 | (1) |
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2.3 Typical Laboratory Tests |
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6 | (1) |
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6 | (1) |
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2.5 Drained Triaxial Test |
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7 | (5) |
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2.6 Undrained Triaxial Tests |
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12 | (2) |
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14 | (2) |
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2.8 True Triaxial Apparatus |
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16 | (2) |
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18 | (1) |
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2.10 Strain-versus Stress-Control |
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19 | (1) |
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20 | (2) |
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2.12 Accuracy of Test Results |
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22 | (1) |
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2.13 Looking into the Samples |
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23 | (2) |
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3 Mechanical Behaviour of Soil: Intuitively |
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25 | (6) |
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3.1 Equations versus Intuition |
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25 | (1) |
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3.2 Proportional Paths for Granular Materials |
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25 | (1) |
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3.3 Relation between Strain Paths and Stress Paths |
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25 | (1) |
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3.4 Proportional Straining Starting at T ≠ 0 |
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26 | (1) |
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27 | (4) |
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31 | (4) |
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4.1 Purpose of This Chapter |
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31 | (1) |
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31 | (1) |
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32 | (3) |
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35 | (3) |
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5.1 Fields in Continuum Mechanics |
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35 | (1) |
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35 | (1) |
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36 | (1) |
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5.4 Continuous Fields and Discontinuities |
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37 | (1) |
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38 | (9) |
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6.1 Deformation and Grain Rearrangement |
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38 | (1) |
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6.2 How to Describe Deformation? |
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38 | (1) |
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6.3 Euler and Lagrange Approaches |
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38 | (1) |
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39 | (1) |
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40 | (1) |
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6.6 Displacement Gradient |
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41 | (2) |
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6.7 Time and Spatial Derivatives |
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43 | (1) |
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6.8 Example: Simple Shear |
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44 | (1) |
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6.9 Equations of Compatibility |
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45 | (2) |
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47 | (5) |
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7.1 What Is the Stress Tensor? |
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47 | (1) |
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48 | (1) |
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7.3 Principal Stress Space |
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48 | (1) |
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7.4 Stress Tensor in Cylindrical Coordinates |
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49 | (1) |
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7.5 Invariants and Eigenvalues |
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50 | (1) |
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7.6 Example: Stress in a Shear Box |
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51 | (1) |
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8 Conservation Laws (Balance Equations) |
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52 | (10) |
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52 | (1) |
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8.2 Conservation Laws as Field Equations |
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52 | (3) |
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8.3 Weak Solution of the Equilibrium Equation |
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55 | (1) |
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56 | (1) |
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8.5 Integral Representations of Conservation Equations |
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57 | (1) |
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8.6 Stress and Intergranular Forces |
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57 | (1) |
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58 | (4) |
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9 Internal Friction and Shear Strength |
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62 | (7) |
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62 | (1) |
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9.2 Dry Friction in Continuum Mechanics |
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62 | (2) |
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64 | (1) |
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65 | (2) |
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9.5 Rock as Frictional Material |
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67 | (2) |
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69 | (13) |
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10.1 Importance of Collapse in Soil Mechanics |
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69 | (1) |
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10.2 The Phenomenon of Collapse |
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69 | (1) |
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70 | (5) |
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75 | (3) |
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78 | (3) |
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81 | (1) |
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11 Constitutive Equations |
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82 | (6) |
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11.1 Constitutive Equation versus Constitutive Law |
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82 | (1) |
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11.2 Why Do We Need Constitutive Equations? |
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82 | (1) |
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11.3 Are Constitutive Equations Dispensable in View of Artificial Intelligence? |
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83 | (1) |
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83 | (1) |
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84 | (1) |
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84 | (1) |
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11.7 Proportional Strain Paths |
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85 | (1) |
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86 | (1) |
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11.9 Role of Thermodynamics |
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86 | (1) |
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11.10 Comparison of Constitutive Equations |
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87 | (1) |
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88 | (4) |
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12.1 Definition of Elasticity |
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88 | (1) |
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88 | (1) |
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12.3 Modifications of Elasticity |
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89 | (1) |
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12.4 Elasticity in Soil Mechanics |
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90 | (2) |
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92 | (11) |
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13.1 Purpose of This Chapter |
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92 | (1) |
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92 | (1) |
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93 | (1) |
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13.4 Elastic Waves in One-dimensional Continua |
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94 | (4) |
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13.5 Waves in Bodies of Finite Dimensions |
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98 | (2) |
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100 | (1) |
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101 | (1) |
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13.8 Impairment Due to Waves |
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102 | (1) |
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103 | (6) |
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14.1 Relevance of Plasticity Theory |
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103 | (1) |
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14.2 One-dimensional Origin of Plasticity |
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103 | (1) |
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14.3 Yield Function, Loading-Unloading |
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103 | (1) |
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104 | (1) |
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14.5 Collapse or Limit Load Theorems |
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105 | (1) |
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14.6 Elastoplastic Relations for Soil |
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106 | (1) |
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14.7 Criticism of Plasticity Theory in Soil Mechanics |
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107 | (2) |
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109 | (4) |
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15.1 Hypoplasticity as an Alternative to Elastoplasticity |
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109 | (1) |
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15.2 Non-linear Rate Equations |
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109 | (1) |
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110 | (1) |
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15.4 Incremental Non-linearity |
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110 | (1) |
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15.5 Mathematical Description of Irreversibility |
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110 | (1) |
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15.6 Emergence of Hypoplasticity |
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111 | (1) |
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15.7 Links to Elastoplasticity |
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112 | (1) |
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15.8 Improving Memory by Means of Intergranular Strain |
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112 | (1) |
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113 | (23) |
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113 | (1) |
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113 | (1) |
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16.3 Derivation of the Constitutive Equation |
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114 | (1) |
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16.4 The Equations of Barodesy |
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115 | (1) |
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16.5 Critical States Revisited |
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116 | (3) |
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119 | (3) |
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122 | (1) |
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16.8 Simulation of Element Tests |
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123 | (1) |
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124 | (5) |
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129 | (3) |
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16.11 Reflecting upon Barodesy |
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132 | (1) |
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16.12 Numerical Simulation of Element Tests |
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133 | (3) |
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136 | (5) |
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17.1 Meaning of Uniqueness and Related Notions |
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136 | (1) |
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17.2 Uniqueness in Element Tests |
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136 | (1) |
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17.3 Shear Bands and Faults |
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137 | (4) |
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141 | (13) |
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141 | (1) |
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18.2 Principle of Material Frame Indifference |
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141 | (5) |
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146 | (1) |
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147 | (3) |
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18.5 Mechanical Similarity |
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150 | (4) |
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19 Interaction with Water |
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154 | (16) |
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154 | (1) |
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19.2 Multiphase Materials |
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154 | (2) |
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19.3 Effective Stress in Water-saturated Soil |
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156 | (1) |
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157 | (1) |
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158 | (2) |
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160 | (1) |
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160 | (4) |
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19.8 Unsaturated Soil: An Exkurs to Physical Chemistry |
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164 | (6) |
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20 Computing in Soil Mechanics |
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170 | (7) |
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20.1 Pitfalls of Computing |
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170 | (1) |
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20.2 Problems with Geotechnical Engineering Computations |
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171 | (2) |
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20.3 Limits of Continuum Mechanics |
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173 | (1) |
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20.4 Quality of Numerical Results |
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173 | (1) |
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20.5 Coping with Uncertain Predictions |
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174 | (3) |
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177 | (1) |
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177 | (1) |
References |
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178 | (7) |
Index |
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185 | |