Preface |
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xiii | |
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Introduction |
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xvii | |
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PART 1 QUALITATIVE METHODS FOR EVALUATING THE RELIABILITY OF CIVIL ENGINEERING STRUCTURES |
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1 | (52) |
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3 | (2) |
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Chapter 1 Methods for System Analysis and Failure Analysis |
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5 | (16) |
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5 | (2) |
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7 | (3) |
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7 | (1) |
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8 | (1) |
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1.2.3 Bounding the analysis |
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8 | (1) |
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9 | (1) |
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10 | (4) |
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1.3.1 Principles of functional analysis |
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10 | (1) |
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1.3.2 External functional analysis |
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11 | (1) |
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1.3.3 Internal functional analysis |
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12 | (2) |
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1.4 Failure Modes and Effects Analysis (FMEA) |
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14 | (5) |
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14 | (2) |
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16 | (1) |
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17 | (2) |
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19 | (2) |
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Chapter 2 Methods for Modeling Failure Scenarios |
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21 | (16) |
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21 | (1) |
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22 | (2) |
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24 | (2) |
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2.3.1 Information acquisition |
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24 | (1) |
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2.3.2 Fault tree construction |
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24 | (2) |
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26 | (3) |
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2.5 Criticality evaluation methods |
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29 | (5) |
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2.5.1 Criticality formulation |
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30 | (4) |
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2.5.2 Civil engineering considerations |
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34 | (1) |
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34 | (3) |
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Chapter 3 Application to a Hydraulic Civil Engineering Project |
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37 | (16) |
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3.1 Context and approach for an operational reliability study |
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37 | (2) |
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3.2 Functional analysis and failure mode analysis |
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39 | (3) |
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3.2.1 Functional analysis of the system |
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39 | (2) |
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3.2.2 Failure mode analysis, and effects |
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41 | (1) |
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3.3 Construction of failure scenarios |
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42 | (2) |
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3.4 Scenario criticality analysis |
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44 | (6) |
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44 | (1) |
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3.4.2 Hydraulic model and quantitative consequence analysis |
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45 | (1) |
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3.4.3 Evaluation of probability of technological failure |
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46 | (3) |
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3.4.4 Representing the criticality of a scenario |
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49 | (1) |
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50 | (1) |
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51 | (2) |
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PART 2 HETEROGENEITY AND VARIABILITY OF MATERIALS: CONSEQUENCES FOR SAFETY AND RELIABILITY |
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53 | (66) |
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55 | (2) |
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Chapter 4 Uncertainties in Geotechnical Data |
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57 | (20) |
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4.1 Various sources of uncertainty in geotechnical engineering |
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57 | (5) |
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4.1.1 Erratic terrain, light disorder and anthropogenic terrain |
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58 | (1) |
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4.1.2 Sources of uncertainty, errors, variability |
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58 | (3) |
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4.1.3 Correlations between material properties |
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61 | (1) |
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4.2 Erroneous, censored and sparse data |
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62 | (2) |
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62 | (1) |
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63 | (1) |
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63 | (1) |
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4.3 Statistical representation of data |
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64 | (2) |
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64 | (2) |
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4.3.2 Spatial variability of material properties |
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66 | (1) |
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66 | (8) |
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4.4.1 Probabilistic and possibilistic approaches |
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67 | (1) |
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4.4.2 Useful random variables (Gaussian, Weibull) |
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68 | (2) |
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4.4.3 Maximum likelihood method |
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70 | (3) |
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4.4.4 Example: resistance measurements in concrete samples |
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73 | (1) |
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74 | (1) |
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74 | (3) |
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Chapter 5 Some Estimates on the Variability of Material Properties |
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77 | (20) |
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77 | (1) |
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5.2 Mean value estimation |
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77 | (5) |
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5.2.1 Sampling and estimation |
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77 | (4) |
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5.2.2 Number of data points required for an estimate |
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81 | (1) |
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5.3 Estimation of characteristic values |
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82 | (4) |
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5.3.1 Characteristic value and fractile of a distribution |
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82 | (1) |
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5.3.2 Example: resistance measurements for wood samples |
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83 | (1) |
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5.3.3 Optimization of number of useful tests |
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84 | (1) |
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5.3.4 Estimate of in situ concrete mechanical strength |
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85 | (1) |
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5.4 Principles of a geostatistical study |
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86 | (10) |
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5.4.1 Geostatistical modeling tools |
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86 | (4) |
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5.4.2 Estimation and simulation methods |
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90 | (1) |
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5.4.3 Study of pressuremeter measurements in an urban environment |
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91 | (5) |
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96 | (1) |
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Chapter 6 Reliability of a Shallow Foundation Footing |
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97 | (22) |
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97 | (1) |
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6.2 Bearing capacity models for strip foundations - modeling errors |
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98 | (3) |
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6.3 Effects of soil variability on variability in bearing capacity and safety of the foundation |
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101 | (8) |
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101 | (3) |
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6.3.2 Purely frictional soil |
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104 | (2) |
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6.3.3 Soil with friction and cohesion |
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106 | (3) |
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6.4 Taking account of the structure of the spatial correlation and its influence on the safety of the foundation |
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109 | (6) |
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6.4.1 Spatial correlation and reduction in variance |
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109 | (3) |
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6.4.2 Taking account of the spatial correlation, and results |
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112 | (3) |
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115 | (2) |
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6.5.1 Conclusions drawn from case study |
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115 | (1) |
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6.5.2 General conclusions |
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116 | (1) |
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117 | (2) |
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PART 3 METAMODELS FOR STRUCTURAL RELIABILITY |
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119 | (50) |
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121 | (2) |
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Chapter 7 Physical and Polynomial Response Surfaces |
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123 | (24) |
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123 | (1) |
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7.2 Background to the response surface method |
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124 | (1) |
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7.3 Concept of a response surface |
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125 | (6) |
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125 | (1) |
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7.3.2 Various formulations |
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126 | (1) |
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127 | (4) |
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7.4 Usual reliability methods |
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131 | (2) |
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7.4.1 Reliability issues and Monte Carlo simulation |
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131 | (1) |
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131 | (2) |
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7.5 Polynomial response surfaces |
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133 | (10) |
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133 | (2) |
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135 | (1) |
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7.5.3 Response surface expression |
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135 | (1) |
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7.5.4 Building the numerical experimental design |
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136 | (2) |
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7.5.5 Example of an adaptive RS method |
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138 | (5) |
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143 | (1) |
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143 | (4) |
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Chapter 8 Response Surfaces based on Polynomial Chaos Expansions |
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147 | (22) |
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147 | (2) |
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8.1.1 Statement of the reliability problem |
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147 | (1) |
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8.1.2 From Monte Carlo simulation to polynomial chaos expansions |
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148 | (1) |
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8.2 Building of a polynomial chaos basis |
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149 | (2) |
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8.2.1 Orthogonal polynomials |
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149 | (1) |
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150 | (1) |
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8.3 Computation of the expansion coefficients |
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151 | (7) |
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151 | (2) |
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153 | (1) |
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154 | (3) |
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8.3.4 Post-processing of the coefficients |
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157 | (1) |
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8.4 Applications in structural reliability |
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158 | (6) |
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8.4.1 Elastic engineering truss |
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158 | (3) |
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161 | (3) |
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164 | (1) |
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165 | (4) |
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PART 4 METHODS FOR STRUCTURAL RELIABILITY OVER TIME |
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169 | (80) |
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171 | (2) |
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Chapter 9 Data Aggregation and Unification |
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173 | (14) |
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173 | (1) |
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9.2 Methods of data aggregation and unification |
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173 | (8) |
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9.2.1 Data unification methods |
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175 | (4) |
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9.2.2 Data aggregation methods |
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179 | (2) |
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9.3 Evaluation of evacuation time for an apartment in case of fire |
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181 | (4) |
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185 | (1) |
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185 | (2) |
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Chapter 10 Time-Variant Reliability Problems |
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187 | (20) |
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187 | (1) |
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188 | (4) |
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10.2.1 Definition and elementary properties |
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188 | (2) |
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10.2.2 Gaussian random processes |
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190 | (1) |
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10.2.3 Poisson and rectangular wave renewal processes |
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190 | (2) |
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10.3 Time-variant reliability problems |
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192 | (5) |
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192 | (1) |
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10.3.2 Right-boundary problems |
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193 | (1) |
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194 | (3) |
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197 | (5) |
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10.4.1 Implementation of the PHI2 method - stationary case |
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198 | (2) |
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10.4.2 Implementation of the PHI2 method - non-stationary case |
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200 | (1) |
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10.4.3 Semi-analytical example |
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200 | (2) |
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10.5 Industrial application: truss structure under time-varying loads |
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202 | (2) |
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204 | (1) |
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205 | (2) |
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Chapter 11 Bayesian Inference and Markov Chain Monte Carlo Methods |
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207 | (20) |
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207 | (1) |
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208 | (2) |
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11.2.1 Bayesian estimation of the mean of a Gaussian distribution |
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209 | (1) |
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11.3 MCMC methods for weakly informative data |
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210 | (9) |
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11.3.1 Weakly informative statistical problems |
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210 | (1) |
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11.3.2 From prior information to prior distributions |
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211 | (1) |
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11.3.3 Approximating a posterior distribution |
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212 | (1) |
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11.3.4 A popular MCMC method: Gibbs sampling |
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213 | (1) |
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11.3.5 Metropolis-Hastings algorithm |
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214 | (3) |
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11.3.6 Assessing the convergence of an MCMC algorithm |
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217 | (1) |
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11.3.7 Importance sampling |
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218 | (1) |
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11.4 Estimating a competing risk model from censored and incomplete data |
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219 | (6) |
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11.4.1 Choosing the prior distributions |
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220 | (1) |
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11.4.2 From prior information to prior hyperparameters |
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221 | (1) |
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221 | (1) |
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11.4.4 Adaptive Importance Sampling (AIS) |
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222 | (3) |
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225 | (1) |
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225 | (2) |
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Chapter 12 Bayesian Updating Techniques in Structural Reliability |
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227 | (22) |
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227 | (1) |
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12.2 Problem statement: link between measurements and model prediction |
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228 | (1) |
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12.3 Computing and updating the failure probability |
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229 | (4) |
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12.3.1 Structural reliability - problem statement |
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229 | (3) |
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12.3.2 Updating failure probability |
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232 | (1) |
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12.4 Updating a confidence interval on response quantities |
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233 | (2) |
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12.4.1 Quantiles as the solution of an inverse reliability problem |
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233 | (1) |
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12.4.2 Updating quantiles of the response quantity |
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234 | (1) |
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234 | (1) |
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12.5 Bayesian updating of the model basic variables |
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235 | (3) |
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12.5.1 A reminder of Bayesian statistics |
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235 | (1) |
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12.5.2 Bayesian updating of the model basic variables |
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235 | (3) |
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12.6 Updating the prediction of creep strains in containment vessels of nuclear power plants |
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238 | (7) |
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12.6.1 Industrial problem statement |
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238 | (1) |
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12.6.2 Deterministic models |
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239 | (3) |
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12.6.3 Prior and posterior estimations of the delayed strains |
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242 | (3) |
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245 | (1) |
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246 | (1) |
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246 | (3) |
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PART 5 RELIABILITY-BASED MAINTENANCE OPTIMIZATION |
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249 | (66) |
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251 | (2) |
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Chapter 13 Maintenance Policies |
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253 | (18) |
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253 | (4) |
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13.1.1 Lifetime distribution |
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253 | (1) |
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254 | (1) |
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13.1.3 Maintenance planning |
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255 | (2) |
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13.2 Types of maintenance |
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257 | (5) |
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13.2.1 Choice of the maintenance policy |
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257 | (3) |
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13.2.2 Maintenance program |
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260 | (1) |
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13.2.3 Inspection program |
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261 | (1) |
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262 | (7) |
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13.3.1 Model of perfect maintenance: AGAN |
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263 | (1) |
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13.3.2 Model of minimal maintenance: ABAO |
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264 | (1) |
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13.3.3 Model of imperfect or bad maintenance: BTO/WTO |
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265 | (2) |
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13.3.4 Complex maintenance policy |
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267 | (2) |
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269 | (1) |
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269 | (2) |
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Chapter 14 Maintenance Cost Models |
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271 | (22) |
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14.1 Preventive maintenance |
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271 | (2) |
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14.2 Maintenance based on time |
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273 | (2) |
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274 | (1) |
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274 | (1) |
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275 | (1) |
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14.3 Maintenance based on age |
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275 | (1) |
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276 | (7) |
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14.4.1 Impact of inspection on costs |
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276 | (1) |
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14.4.2 The case of imperfect inspections |
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277 | (6) |
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14.5 Structures with large lifetimes |
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283 | (1) |
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14.6 Criteria for choosing a maintenance policy |
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284 | (1) |
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14.7 Example of a corroded steel pipeline |
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285 | (5) |
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290 | (1) |
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290 | (3) |
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Chapter 15 Practical Aspects: Industrial Implementation and Limitations in a Multi-criteria Context |
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293 | (22) |
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293 | (3) |
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15.2 Motorway concession with high performance requirements |
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296 | (7) |
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15.2.1 Background and stakes |
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296 | (2) |
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298 | (2) |
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300 | (3) |
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15.3 Ageing of civil engineering structures: using field data to update predictions |
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303 | (4) |
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15.3.1 Background and stakes |
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303 | (1) |
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15.3.2 Corrosion risk of a cooling tower |
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303 | (2) |
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305 | (2) |
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307 | (1) |
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308 | (7) |
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311 | (4) |
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List of Symbols |
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315 | (8) |
List of Authors |
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323 | (2) |
Index |
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325 | |