Preface |
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ix | |
Forward |
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xi | |
Chapter 1 Introduction and overview |
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1 | (34) |
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1 | (3) |
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1.1.1 International standardization and the role of ISO |
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1 | (1) |
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2 | (1) |
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2 | (2) |
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1.2 Short story of how things break |
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4 | (6) |
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1.2.1 Failure of a perfect solid |
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5 | (1) |
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1.2.2 Failure (cracks) of imperfect/real solids |
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5 | (1) |
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1.2.3 Brittle and ductile materials |
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6 | (1) |
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7 | (1) |
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8 | (1) |
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1.2.6 From physics to engineering |
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9 | (1) |
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1.3 The origins of fracture mechanics |
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10 | (10) |
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1.3.1 The evaluation of structure design |
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10 | (3) |
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13 | (3) |
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1.3.3 The origin of fracture mechanics |
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16 | (2) |
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1.3.4 The stress intensity factor |
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18 | (2) |
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1.4 The establishment of fracture mechanics |
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20 | (4) |
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1.4.1 Incubation, initiation, and crack propagation |
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21 | (3) |
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1.5 Nonlinear consideration |
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24 | (3) |
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1.5.1 Simple Crack-Tip Plasticity Models |
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24 | (1) |
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1.5.2 Origins of the COD approach |
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25 | (2) |
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27 | (1) |
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1.6 Status and prospect of fracture mechanics |
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27 | (8) |
Chapter 2 Fracture Mechanics |
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35 | (44) |
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2.1 Linear elastic fracture mechanics |
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36 | (4) |
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2.1.1 Linear Elastic Crack-Tip Fields |
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36 | (1) |
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2.1.2 The stress intensity factor |
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37 | (1) |
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2.1.3 Energetics of cracked bodies |
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37 | (1) |
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2.1.4 The plastic zone and fracture toughness |
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38 | (2) |
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2.2 Elasto-plastic fracture mechanics |
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40 | (3) |
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2.2.1 Mathematical model of crack propagation |
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40 | (3) |
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2.3 Probabilistic fracture mechanics |
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43 | (9) |
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47 | (1) |
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2.3.2 Methodology and application of PFM |
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48 | (2) |
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2.3.3 Engineering models and PFM |
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50 | (2) |
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2.3.4 Probabilistic fracture mechanics and gearing |
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52 | (1) |
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52 | (27) |
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2.4.1 Finite element method |
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53 | (6) |
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2.4.2 Determination of the stress intensity factors |
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59 | (12) |
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2.4.3 Boundary element method |
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71 | (1) |
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2.4.4 The application of the boundary element method (BEM) |
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72 | (7) |
Chapter 3 Gear and gear transmission |
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79 | (46) |
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79 | (3) |
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79 | (2) |
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81 | (1) |
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82 | (2) |
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3.3 Stress intensity factor for gear tooth |
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84 | (9) |
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3.3.1 Shape factor and SIF for gear tooth |
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84 | (4) |
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3.3.2 Stresses in crack plane |
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88 | (4) |
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3.3.3 Shape factor obtained experimentally |
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92 | (1) |
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3.4 Total value of loading |
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93 | (18) |
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3.4.1 Contact area of engaging gears |
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94 | (1) |
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95 | (2) |
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97 | (2) |
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3.4.4 Calculation methods |
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99 | (1) |
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3.4.5 Residual stresses on gears |
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99 | (2) |
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3.4.6 The experimental determinations of Residual Stresses |
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101 | (4) |
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3.4.7 The models for determining Residual Stresses |
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105 | (5) |
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3.4.8 The algorithm for the determination of Residual Stresses |
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110 | (1) |
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3.4.9 The calculation of Residual Stresses by FEM |
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111 | (1) |
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3.5 The comparison of results |
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111 | (2) |
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113 | (1) |
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3.6.1 Material and Treatment Selection |
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113 | (1) |
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3.7 Mathematical modeling of gear assemblies |
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114 | (11) |
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3.7.1 Optimization of gear assemblies |
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115 | (1) |
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3.7.2 Genetic optimisation algorithm |
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115 | (2) |
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3.7.3 The optimisation procedure |
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117 | (2) |
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3.7.4 Model of the gear assembly design |
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119 | (6) |
Chapter 4 Crack in the gears tooth root |
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125 | (38) |
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4.1 Mathematical model of crack initiation |
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126 | (10) |
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4.1.1 Evaluation of lifetime for short fatigue crack initiation |
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126 | (3) |
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4.1.2 Stochastic modeling of crack growth |
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129 | (5) |
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4.1.3 Calculation of service life of gearing |
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134 | (1) |
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135 | (1) |
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4.2 Remaining life of gear |
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136 | (3) |
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4.2.1 Calculation of service life of gearing |
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136 | (3) |
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4.3 Experimental analysis |
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139 | (7) |
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141 | (2) |
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4.3.2 The statistical approach applied to a spur gear pair |
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143 | (2) |
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4.3.3 Analysis of the results |
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145 | (1) |
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4.4 Three dimensional analysis |
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146 | (7) |
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4.4.1 Analysis of the results |
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153 | (1) |
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4.5 Application to automotive gearbox |
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153 | (10) |
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154 | (1) |
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4.5.2 Crack propagation in the tooth root |
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155 | (8) |
Chapter 5 Contact problems on gears |
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163 | (40) |
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5.1 Determination of pitting resistance |
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164 | (34) |
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5.1.1 Fatigue crack initiation |
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165 | (1) |
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5.1.2 Fatigue crack propagation |
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166 | (3) |
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5.1.3 Simulation of contact problems |
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169 | (12) |
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5.1.4 New finite numerical technique for the contact problem |
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181 | (9) |
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5.1.5 Practical application |
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190 | (1) |
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5.1.6 Numerical determination of the pitting resistance |
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191 | (3) |
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5.1.7 Experimental testing |
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194 | (4) |
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5.1.8 Comparison of numerical and experimental results |
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198 | (1) |
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198 | (5) |
Chapter 6 Expert system for gear assemblies |
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203 | (12) |
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203 | (7) |
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210 | (5) |
Chapter 7 Concluding remarks |
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215 | (4) |
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215 | (4) |
Index |
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219 | |