Preface |
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xi | |
Author |
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xv | |
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Chapter 1 Fracture in Structural Components |
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1 | (18) |
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1.1 Fracture in Engineering Materials and Structures: Societal Relevance |
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1 | (2) |
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1 | (1) |
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1.1.2 Environment and Health Hazards |
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2 | (1) |
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1.1.3 Optimizing Costs (Fuel Economy, Material Costs, Opportunity Costs) |
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2 | (1) |
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2 | (1) |
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1.2 Examples of Prominent Fractures and the Underlying Causes |
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3 | (5) |
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1.2.1 Failures in Liberty Ships |
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3 | (1) |
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1.2.2 Failures of Comet Aircraft |
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4 | (1) |
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1.2.3 Cracks in A380 Aircrafts |
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5 | (1) |
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1.2.4 Crack in a Structural Member of an Interstate Highway Bridge |
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5 | (1) |
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1.2.5 Cracks in Human Bones |
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6 | (1) |
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1.2.6 Aneurysms in Human Abdominal Aortas |
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6 | (2) |
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1.3 Degradation Phenomena and Fracture in Engineering Materials and Structures |
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8 | (1) |
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1.3.1 Crack Initiation/Formation and Growth |
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8 | (1) |
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1.4 History of Developments in Understanding Fatigue and Fracture |
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9 | (8) |
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1.4.1 Developments in Understanding of Fatigue |
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9 | (2) |
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1.4.2 Understanding Brittle and Ductile Fracture |
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11 | (1) |
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1.4.3 Early Developments in Fracture Mechanics |
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12 | (3) |
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1.4.4 Developments in Elastic-Plastic Fracture Mechanics |
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15 | (1) |
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1.4.5 Environment Assisted Cracking |
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16 | (1) |
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1.4.6 Developments in Time Dependent Fracture Mechanics |
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16 | (1) |
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17 | (2) |
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18 | (1) |
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Chapter 2 Early Theories of Fracture |
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19 | (34) |
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2.1 Microscopic Aspects of Brittle Fracture |
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19 | (3) |
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2.1.1 Intergranular and Transgranular Fracture |
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19 | (2) |
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2.1.2 Equi-Cohesive Temperature |
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21 | (1) |
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2.1.3 Ductile and Brittle Fracture |
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21 | (1) |
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2.2 Models of Fracture at the Atomic Scale |
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22 | (2) |
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2.3 Stress Concentration Effects of Flaws |
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24 | (2) |
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2.4 Griffith's Theory of Brittle Fracture |
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26 | (2) |
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2.5 Orowan's Modification to Griffith's Theory |
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28 | (1) |
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2.6 The Concept of Crack Extension Force, G |
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29 | (5) |
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2.6.1 Estimation of Griffith's Crack Extension Force for an Arbitrary Shaped Body |
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30 | (4) |
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2.7 Crack Growth Resistance, R |
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34 | (1) |
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2.8 Predicting Instability in Cracked Structures |
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34 | (7) |
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2.8.1 Predicting Instability Conditions for a General Case |
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40 | (1) |
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41 | (12) |
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42 | (1) |
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42 | (1) |
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Appendix 2A Review of Solid Mechanics |
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43 | (1) |
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43 | (4) |
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47 | (1) |
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48 | (1) |
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2A.4 Elastic Strain Energy |
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49 | (1) |
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2A.5 Stress Transformation Equations |
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50 | (1) |
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2A.6 Stress-Strain Behavior |
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51 | (1) |
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52 | (1) |
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Chapter 3 Theoretical Basis for Linear Elastic Fracture Mechanics |
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53 | (36) |
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3.1 Engineering Materials and Defects |
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53 | (1) |
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3.2 Stress Analysis of Cracks |
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54 | (6) |
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3.2.1 Equations of Elasticity |
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55 | (1) |
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3.2.2 Compatibility Equations |
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55 | (2) |
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3.2.3 Application of Airy's Stress Function to Crack Problems |
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57 | (3) |
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3.3 Stress Intensity Parameter, K, for Various Crack Geometries and Loading Configurations by the Westergaard Method |
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60 | (6) |
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3.4 Crack Tip Displacement Fields |
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66 | (1) |
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3.5 The Relationship between G and K |
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66 | (3) |
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3.6 Determining K for Other Loading and Crack Geometries |
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69 | (4) |
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3.7 Use of Linear Superposition Principle for Deriving k-Solutions |
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73 | (3) |
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3.8 k-Solutions for 3-D Cracks |
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76 | (5) |
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81 | (8) |
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83 | (1) |
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83 | (1) |
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84 | (1) |
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3A.1 Cauchy-Reimann Equations |
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84 | (1) |
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3A.2 Derivation of the Crack Tip Displacement Fields |
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85 | (4) |
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Chapter 4 Crack Tip Plasticity |
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89 | (12) |
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4.1 Estimate of the Plastic Zone Size |
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89 | (3) |
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4.2 Plasticity Modified Crack Tip Stress Field for SSY |
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92 | (3) |
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95 | (2) |
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4.4 Crack Tip Opening Displacement (CTOD) |
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97 | (1) |
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97 | (4) |
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98 | (1) |
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98 | (1) |
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Appendix 4A Plastic Yielding Under Uniaxial and Multiaxial Conditions |
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99 | (1) |
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4A.1 Uniaxial Stress-Strain Curve |
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99 | (1) |
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4A.2 Von Mises Yield Criterion for Multiaxial Loading |
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99 | (1) |
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4A.3 Tresca Yield Criterion |
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100 | (1) |
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Chapter 5 Fracture Toughness and its Measurement |
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101 | (24) |
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5.1 Similitude and the Stress Intensity Parameter, K |
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103 | (2) |
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5.2 Fracture Toughness as a Function of Plate Thickness |
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105 | (2) |
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5.3 Ductile and Brittle Fracture and the LEFM Approach |
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107 | (1) |
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5.4 Measurement of Fracture Toughness |
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108 | (10) |
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5.4.1 Measurement of Plane Strain Fracture Toughness, KIc |
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108 | (4) |
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5.4.2 Fracture Toughness of Thin Panels |
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112 | (6) |
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5.5 Correlations between Charpy Energy and Fracture Toughness |
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118 | (1) |
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5.5.1 Charpy Energy versus Fracture Toughness Correlation for Lower-Shelf and Lower Transition Region |
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118 | (1) |
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5.5.2 Charpy Energy versus Fracture Toughness Correlation in the Upper-Shelf Region |
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118 | (1) |
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119 | (6) |
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119 | (1) |
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120 | (1) |
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Appendix 5A Compliance Relationships for C(T) and M(T) Specimens |
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121 | (1) |
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5A.1 Compliance Relationships for C(T) Specimen |
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121 | (2) |
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5A.2 Compliance and Af-Relationships for M(T) Specimens |
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123 | (1) |
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124 | (1) |
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Chapter 6 Fatigue Crack Growth |
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125 | (50) |
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125 | (1) |
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6.2 Fatigue Crack Growth (or Propagation) Rates |
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126 | (10) |
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126 | (3) |
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6.2.2 Mechanisms of Fatigue Crack Growth |
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129 | (2) |
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6.2.3 Fatigue Crack Growth Life Estimation |
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131 | (5) |
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6.3 The Effect of Load Ratio, Temperature, and Frequency on Fatigue Crack Growth Rate in the Paris Regime |
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136 | (1) |
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6.4 Wide Range Fatigue Crack Growth Behavior |
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137 | (5) |
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6.5 Crack Tip Plasticity during Cyclic Loading |
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142 | (4) |
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6.5.1 Cyclic Plastic Zone |
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142 | (2) |
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6.5.2 Crack Closure during Cyclic Loading |
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144 | (2) |
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6.6 Fatigue Cycles Involving Compressive Loading |
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146 | (1) |
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6.7 Models for Representing Load Ratio Effects on Fatigue Crack Growth Rates |
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147 | (3) |
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6.8 Fatigue Crack Growth Measurements (ASTM Standard E647) |
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150 | (9) |
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6.9 Behavior of Small or Short Cracks |
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159 | (5) |
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6.9.1 Limitations of AK for Characterizing Small Fatigue Crack Growth Behavior |
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161 | (3) |
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6.10 Fatigue Crack Growth under Variable Amplitude Loading |
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164 | (5) |
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6.10.1 Effects of Single Overloads/Underloads on Fatigue Crack Growth Behavior |
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164 | (2) |
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6.10.2 Variable Amplitude Loading |
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166 | (3) |
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169 | (6) |
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170 | (1) |
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171 | (2) |
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173 | (2) |
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Chapter 7 Environment-Assisted Cracking |
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175 | (32) |
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175 | (1) |
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175 | (4) |
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7.3 Relationship between EAC and K under Static Loads |
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179 | (2) |
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7.4 Methods of Determining K, EAC |
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181 | (5) |
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7.5 Relationship between K1EAC and Yield Strength and Fracture Toughness |
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186 | (5) |
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7.6 Environment Assisted Fatigue Crack Growth |
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191 | (2) |
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7.7 Models for Environment Assisted Fatigue Crack Growth Behavior |
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193 | (9) |
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7.7.1 Linear Superposition Model |
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194 | (2) |
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7.7.2 A Model for Predicting the Effects of Hydrogen Pressure on the Fatigue Crack Growth Behavior |
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196 | (6) |
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202 | (5) |
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203 | (2) |
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205 | (2) |
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Chapter 8 Fracture under Mixed-Mode Loading |
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207 | (38) |
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207 | (2) |
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8.2 Stress Analysis of Cracks under Mixed Mode Loading |
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209 | (2) |
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8.3 Mixed Mode Considerations in Fracture of Isotropic Materials |
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211 | (12) |
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8.3.1 Fracture Criterion Based on Energy Available for Crack Extension |
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211 | (4) |
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8.3.2 Maximum Circumferential Stress Fracture Criterion |
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215 | (3) |
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8.3.3 Strain Energy Density (SED) as Mixed Mode Fracture Criterion |
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218 | (5) |
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8.4 Fracture Toughness Measurements under Mixed-Mode Conditions |
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223 | (12) |
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223 | (2) |
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8.4.2 Measurement of Fracture Toughness under Mode II (KIIc) |
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225 | (4) |
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8.4.3 Measurement of Interfacial Toughness in Laminate Composites |
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229 | (6) |
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8.5 Fatigue Crack Growth under Mixed-Mode Loading |
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235 | (5) |
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240 | (5) |
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241 | (1) |
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242 | (3) |
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Chapter 9 Fracture and Crack Growth under Elastic/Plastic Loading |
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245 | (18) |
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245 | (1) |
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246 | (3) |
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9.3 J-Integral as a Fracture Parameter |
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249 | (2) |
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9.4 Equations for Determining J in C(T) Specimens |
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251 | (3) |
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9.5 Fatigue Crack Growth under Gross Plasticity Conditions |
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254 | (5) |
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9.5.1 Experimental Correlation between da/dN and ΔJ |
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256 | (3) |
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259 | (4) |
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259 | (1) |
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260 | (3) |
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Chapter 10 Creep and Creep-Fatigue Crack Growth |
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263 | (26) |
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263 | (3) |
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266 | (7) |
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266 | (2) |
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10.2.2 C(t) Integral and the Ct Parameter |
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268 | (3) |
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10.2.3 Creep Crack Growth in Creep-Brittle Materials |
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271 | (2) |
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10.3 Crack Growth under Creep-Fatigue-Environment Conditions |
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273 | (10) |
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10.3.1 da/dN versus ΔK Correlations |
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274 | (7) |
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10.3.2 Creep-Fatigue Crack Growth Rates for Long Cycle Times |
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281 | (2) |
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283 | (6) |
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284 | (2) |
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286 | (1) |
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287 | (2) |
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Chapter 11 Case Studies in Applications of Fracture Mechanics |
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289 | (15) |
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289 | (2) |
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11.1.1 Integrity Assessment of Structures and Components |
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290 | (1) |
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11.1.2 Material and Process Selection |
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290 | (1) |
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11.1.3 Design or Remaining Life Prediction |
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291 | (1) |
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11.1.4 Inspection Criterion and Interval Determination |
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291 | (1) |
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291 | (1) |
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11.2 General Methodology for Fracture Mechanics Analysis |
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291 | (1) |
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292 | (12) |
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11.3.1 Optimizing Manufacturing Costs |
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293 | (1) |
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11.3.1.1 Problem Statement |
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293 | (1) |
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294 | (5) |
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11.3.2 Reliability of Service-Degraded Steam Turbine Rotors |
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299 | (3) |
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11.3.2.1 Analysis of Stresses on the Rotor during Service |
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302 | (1) |
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11.3.2.2 Flaws in the Rotors and Their Evaluation |
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303 | (1) |
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4 11.3.2.3 Semi-Elliptical Surface Flaw on the Bore |
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304 | (17) |
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11.3.2.4 Single and Multiple Co-Planar Embedded Flaws |
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306 | (2) |
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11.3.2.5 Remaining Life Assessment/Inspection Interval Calculations |
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308 | (1) |
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11.3.3 Design of Vessels for Storing Gaseous Hydrogen at Very High Pressures |
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309 | (1) |
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11.3.3.1 k-Expressions for Cracked Pressurized Cylinders |
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310 | (3) |
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11.3.3.2 FCGR Properties of Pressure Vessel Steels in High Pressure Hydrogen |
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313 | (2) |
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11.3.3.3 Design Life Calculations |
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315 | (1) |
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315 | (6) |
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317 | (2) |
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319 | (2) |
Index |
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