Author Biography |
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xiii | |
Acknowledgments |
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xv | |
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List of mathematical symbols |
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xvii | |
Introduction |
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1 | (2) |
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1 Distribution of stresses and strains in roads |
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3 | (62) |
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3 | (9) |
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1.1.1 Boussinesq's solution |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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1.1.4 Tire soil interaction |
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6 | (1) |
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1.1.5 Road-vehicle interaction |
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7 | (1) |
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1.1.5.1 Mathematical description of road profiles |
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8 | (1) |
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9 | (3) |
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1.2 Example 1: Calculation of the stress distribution produced by vertical loads using Boussinesq's solution |
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12 | (9) |
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1.2.1 Loaded area and uniform stress |
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12 | (2) |
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1.2.2 Superposition of the stresses produced by each individual loaded area |
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14 | (1) |
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1.2.3 Requirements of Cohesion corresponding to the Mohr-Coulomb criterion |
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15 | (6) |
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21 | (1) |
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1.3 Example 2: Use of Cerruti's solution to calculate the stresses produced by horizontal loads |
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21 | (4) |
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1.3.1 Stresses in the half-space |
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22 | (2) |
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1.3.2 Requirements of cohesion for the Mohr-Coulomb criterion |
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24 | (1) |
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25 | (1) |
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1.4 Example 3: Tire-road interaction using the Hertz theory and the Frohlich stress distribution |
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25 | (6) |
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1.4.1 Elastic properties of the equivalent tire |
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26 | (1) |
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1.4.2 Contact stress applied by the tire on the road |
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27 | (1) |
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1.4.3 Stresses in the half-space using the Frohlich solution for stress distribution |
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28 | (2) |
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30 | (1) |
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1.5 Example 4: Calculation of the vehicle-road interaction |
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31 | (12) |
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1.5.1 Discretization in time of the differential equation |
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32 | (1) |
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1.5.2 Vehicle interaction in a bumpy road |
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33 | (3) |
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1.5.3 Vehicle interaction on actual roads |
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36 | (7) |
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43 | (1) |
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1.6 Examples 5: Computation of stresses in a three-layered road structure using Burmister's method |
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43 | (6) |
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1.6.1 Approximation of the load using Bessel functions |
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43 | (1) |
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1.6.2 Calculation of the vertical and radial stresses using Burmister's method |
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44 | (5) |
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49 | (1) |
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1.7 Example 6: Tridimensional distribution of stresses produced by moving wheel loads |
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49 | (16) |
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1.7.1 Stresses produced by a circular load in a cylindrical coordinate system |
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51 | (6) |
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1.7.2 Transformation of stresses from cylindrical into Cartesian coordinates |
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57 | (2) |
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1.7.3 Principal stresses, rotation, and invariants p and q |
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59 | (4) |
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63 | (2) |
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2 Unsaturated soil mechanics applied to road materials |
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65 | (48) |
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65 | (4) |
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2.1.1 Water retention curve |
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65 | (1) |
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2.1.2 Assessment of the hydraulic conductivity based on the water retention curve |
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66 | (1) |
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2.1.3 Flow of water in unsaturated materials |
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67 | (1) |
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2.1.4 Thermal properties of unsaturated materials |
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67 | (2) |
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2.1.5 Heat flow in unsaturated materials |
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69 | (1) |
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2.2 Example 7: Assessment of the water retention curve using the empirical model proposed in the Mechanistic Empiric Pavement Design Guide (MEPDG) |
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69 | (2) |
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2.3 Example 8: Method for calculating the unsaturated hydraulic conductivity based on the water retention curve |
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71 | (4) |
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2.3.1 Limits of integration and sub-intervals |
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72 | (1) |
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2.3.2 Volumetric water content and derivative with respect to suction |
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73 | (1) |
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2.3.3 Denominator of Equation 2.13 |
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73 | (2) |
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2.3.4 Numerator of Equation 2.13 |
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75 | (1) |
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2.4 Example 9: Simplified calculation of water infiltration |
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75 | (3) |
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2.5 Example 10: Numerical calculation of water flow in unsaturated materials, application to road structures |
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78 | (21) |
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2.5.1 Part A. Numerical solution of the nonlinear partial differential equation describing the flow of water in unsaturated soils using the explicit finite difference method |
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80 | (1) |
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2.5.1.1 Discretization in space |
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81 | (1) |
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2.5.1.2 Discretization in time |
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82 | (1) |
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2.5.1.3 Implementation of the explicit Finite Difference Method |
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83 | (1) |
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2.5.1.4 Boundary conditions |
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84 | (2) |
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2.5.1.5 Initial conditions |
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86 | (1) |
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2.5.2 Part B. Numerical solution using the data of the example |
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86 | (1) |
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2.5.2.1 Water retention curves |
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87 | (2) |
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2.5.2.2 Discretization in space |
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89 | (2) |
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2.5.2.3 Discretization in time |
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91 | (3) |
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2.5.2.4 Boundary and initial conditions |
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94 | (1) |
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95 | (4) |
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2.6 Example 11: Numerical solution of the heat flow in road structures |
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99 | (14) |
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2.6.1 Part A. Numerical solution of the diffusion equation using the implicit finite difference method |
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100 | (1) |
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2.6.1.1 Discretization in space |
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100 | (1) |
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2.6.1.2 Discretization in time |
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101 | (1) |
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2.6.1.3 Implementation of the FDM using the implicit solution |
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101 | (2) |
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2.6.1.4 Boundary conditions |
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103 | (2) |
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2.6.1.5 Initial conditions |
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105 | (1) |
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2.6.2 Part B. Numerical solution using the data of the example |
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105 | (1) |
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2.6.2.1 Thermal conductivity and heat capacity |
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105 | (1) |
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2.6.2.2 Discretization in space |
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106 | (1) |
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2.6.2.3 Discretization in time |
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107 | (1) |
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2.6.2.4 Boundary and initial conditions |
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108 | (1) |
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108 | (5) |
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113 | (34) |
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113 | (14) |
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3.1.1 Summary of the equations describing the BBM |
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113 | (3) |
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3.1.2 Effect of cyclic loading |
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116 | (1) |
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3.1.3 Evolution of the water retention curve during compaction |
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116 | (1) |
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3.1.4 A linear packing model for establishing the relationship between grain size distribution and density |
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116 | (1) |
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3.1.4.1 Virtual compacity of binary mixtures |
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117 | (1) |
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3.1.5 Virtual compacity of binary mixtures without interaction |
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118 | (1) |
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3.1.6 Virtual compacity of binary mixtures with total interaction |
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119 | (2) |
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3.1.7 Virtual compacity of binary mixtures with partial interaction |
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121 | (2) |
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3.1.7.1 Virtual compacity of polydisperse mixtures |
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123 | (1) |
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3.1.7.2 Actual compacity of granular mixtures |
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124 | (2) |
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3.1.7.3 Assessment of compacted densities using the linear packing model |
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126 | (1) |
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3.2 Example 12: Simulation of field compaction using the BBM |
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127 | (14) |
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3.2.1 Stress distribution produced by one tire on the surface of the soil |
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129 | (3) |
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3.2.2 Stress distribution within the soil mass |
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132 | (1) |
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3.2.3 Stress distribution produced by the whole compactor |
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133 | (3) |
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3.2.4 Compaction profiles calculated using the BBM |
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136 | (2) |
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3.2.5 Effect of the loading cycles |
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138 | (3) |
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3.2.6 Effect of the water content |
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141 | (1) |
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3.3 Example 13: Use of the linear packing model to compute the density of a compacted material based on its grain size distribution |
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141 | (6) |
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142 | (1) |
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143 | (2) |
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145 | (1) |
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3.3.4 Results of the model and comparison with the Proctor test |
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146 | (1) |
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147 | (50) |
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147 | (5) |
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4.1.1 Stress components due to triangular loads |
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147 | (1) |
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4.1.2 Immediate settlements |
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147 | (1) |
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4.1.3 Primary consolidation |
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148 | (1) |
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4.1.4 Radial consolidation |
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149 | (1) |
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4.1.5 Increase of shear strength for staged construction |
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149 | (1) |
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4.1.6 Generalized bearing capacity |
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149 | (1) |
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4.1.7 The BBM including the effect of soil's microstructure |
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150 | (2) |
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4.2 Example 14: Embankments on soft soils |
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152 | (19) |
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4.2.1 Stress distribution beneath the symmetry axis of the embankment |
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153 | (1) |
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4.2.2 Immediate and consolidation settlements |
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154 | (2) |
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4.2.3 Vertical stress distribution under the embankment for the final height of the fill |
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156 | (1) |
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4.2.4 Evaluation of the bearing capacity for the staged construction |
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157 | (4) |
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4.2.5 Evaluation of the bidimensional consolidation |
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161 | (5) |
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4.2.6 Evolution of the undrained shear strength considering the 2D consolidation |
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166 | (1) |
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4.2.7 Evaluation of the safety factor before placing each stage |
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166 | (2) |
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4.2.8 Analysis of the radial drainage |
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168 | (3) |
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4.3 Example 15: Analysis of the collapse of embankments under soaking using the BBM |
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171 | (20) |
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4.3.1 Simulation of the oedometric compaction |
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173 | (5) |
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178 | (2) |
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180 | (1) |
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181 | (2) |
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4.3.3.2 Elastoplastic domain |
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183 | (1) |
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183 | (3) |
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186 | (5) |
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4.4 Example 16: Effect of the soil's microstructure in the collapse of embankments |
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191 | (6) |
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192 | (1) |
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4.4.2 Oedometric compression |
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193 | (1) |
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4.4.2.1 Elastic compression |
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193 | (1) |
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4.4.2.2 Elastoplastic compression |
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193 | (1) |
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4.4.3 Saturated oedometric compression |
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194 | (3) |
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5 Mechanical behavior of road materials |
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197 | (36) |
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197 | (3) |
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5.1.1 Models describing the resilient modulus |
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197 | (1) |
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5.1.2 Models describing the resilient Young's modulus and Poisson's ratio |
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198 | (1) |
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5.1.3 Effect of water in the resilient Young's modulus |
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199 | (1) |
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5.2 Example 17: Adjustment of the measured resilient Young's modulus using different models |
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200 | (11) |
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5.2.1 Fitting the experimental results using the k --- θ model |
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201 | (1) |
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5.2.2 Fitting the experimental results using the three parameters model |
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202 | (2) |
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5.2.3 Fitting the experimental results using Boyce's model |
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204 | (2) |
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5.2.4 Fitting the experimental results using the linear model |
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206 | (3) |
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5.2.5 Performance of the different models to predict resilient Young's moduli and Poisson's ratios |
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209 | (2) |
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5.3 Example 18: Assessment of the effect of the water content of the granular layer on the fatigue life of a low-traffic road structure |
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211 | (22) |
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5.3.1 Fitting the experimental measures of suction using the van Genuchten equation |
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213 | (3) |
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5.3.2 Evaluation of the models that describe the effect of the water content on the resilient Young's modulus |
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216 | (1) |
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5.3.2.1 Models recommended in the MEPD |
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216 | (2) |
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5.3.2.2 Model with two state variables: vertical total stress and suction |
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218 | (3) |
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5.3.2.3 Model based on effective stress |
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221 | (1) |
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5.3.2.4 Comparison of models' performance |
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222 | (2) |
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5.3.3 Fatigue lifespan of the bituminous layer depending on the water content of the granular layer |
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224 | (7) |
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231 | (2) |
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233 | (30) |
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233 | (4) |
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6.1.1 Heat flow in road structures |
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233 | (3) |
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6.1.2 Flow of water through a drainage layer |
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236 | (1) |
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6.2 Example 19: Evolution of the temperature in a road structure depending on the environmental variables |
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237 | (17) |
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6.2.1 Environmental variables |
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239 | (1) |
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6.2.2 Heat flow due to solar radiation |
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240 | (4) |
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6.2.3 Discretization in space |
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244 | (1) |
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6.2.4 Discretization in time |
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245 | (1) |
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6.2.5 Continuity equation between layers |
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246 | (1) |
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6.2.6 Analysis of the boundary conditions |
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247 | (1) |
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6.2.7 Analysis of the time step |
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248 | (1) |
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249 | (5) |
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6.3 Example 20: Assessment of the local infiltration through cracks in the top layer of a road |
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254 | (4) |
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6.3.1 Infiltration through single cracks |
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255 | (2) |
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6.3.2 Infiltration through a squared net of cracks |
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257 | (1) |
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6.4 Example 21: Drainage layers in road structures |
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258 | (5) |
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7 Nondestructive evaluation and inverse methods |
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263 | (26) |
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263 | (3) |
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7.1.1 Theoretical analysis of vibratory rollers |
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263 | (1) |
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7.1.2 Contact between a cylindrical body and an elastic half-space |
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264 | (1) |
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7.1.3 The cone macroelement model |
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265 | (1) |
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7.1.4 Continuous compaction control (CCC) |
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265 | (1) |
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7.2 Example 22: Soil-drum interaction assuming an elastic soil's response |
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266 | (10) |
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7.2.1 Discretization in time of the dynamic equation |
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266 | (3) |
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7.2.2 Effect of Young's modulus on the soil-drum interaction |
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269 | (3) |
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7.2.3 Effect of the dynamic load |
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272 | (4) |
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7.3 Example 23: Analysis of the soil-drum interaction considering the soil's reaction into the elastoplastic domain of behavior |
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276 | (13) |
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7.3.1 Contact soil-drum under monotonic loading and elastoplastic behavior |
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278 | (6) |
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7.3.2 Cyclic loading with elastoplastic soil's response |
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284 | (1) |
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7.3.3 Dynamic soil-drum interaction considering the elastoplastic contact |
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285 | (4) |
Bibliography |
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289 | (4) |
Index |
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293 | |