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1 | (10) |
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1.1 Why Fracture Mechanics? |
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2 | (1) |
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1.2 Three Kinds of Fracture Mechanics |
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2 | (4) |
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1.3 Crack-Parallel Stresses and Tensorial Damage as Quasibrittle Fracture Basis |
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6 | (1) |
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1.4 Size Effect Type and Role of Material Randomness |
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6 | (2) |
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1.5 Applications of Size Effect in Structural Analysis and Design |
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8 | (3) |
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2 Fundamentals of Linear Elastic Fracture Mechanics |
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11 | (42) |
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2.1 Energy Release Rate and Fracture Energy |
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11 | (7) |
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2.2 General Form of Near-Tip and Far Fields of a Notch |
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18 | (2) |
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2.3 Stress Singularities and Energy Flux at a Sharp Crack Tip |
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20 | (2) |
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2.4 Westergaard's Solution for Crack in Infinite Body |
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22 | (3) |
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2.5 Stress Intensity Factor, Near-Tip Field, and Remote Field |
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25 | (2) |
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2.6 Fracture Modes I, II, and III |
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27 | (2) |
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2.7 Irwin's Relationship between Stress Intensity Factors and Energy Release Rate |
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29 | (2) |
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31 | (5) |
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2.9 Numerical Calculation of Stress Intensity Factors |
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36 | (2) |
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2.10 Stress Intensity Factors for Typical Simple Geometries |
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38 | (3) |
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2.11 Calculation of Elastic Compliance and Deflection from Stress Intensity Factors |
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41 | (3) |
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2.12 Bimaterial Interfacial Cracks |
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44 | (2) |
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2.13 Comments on Anisotropic Materials and Three-Dimensional Singularities |
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46 | (7) |
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3 Nonlinear Fracture Mechanics---Line Crack Idealization |
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53 | (31) |
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3.1 Types of Fracture Behavior and Nonlinear Zone |
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53 | (2) |
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3.2 Irwin's Estimate of the Size of the Inelastic Zone |
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55 | (1) |
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3.3 Estimation of FPZ Size for Quasibrittle Materials |
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56 | (4) |
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3.4 Equivalent Linear Elastic Crack Model |
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60 | (2) |
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62 | (8) |
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70 | (7) |
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3.7 Integral Equations of Mode I Cohesive Crack Model |
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77 | (2) |
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3.8 Eigenvalue Analysis of Peak Load and Size Effect |
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79 | (5) |
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4 Nonlinear Fracture Mechanics---Diffuse Crack Model |
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84 | (28) |
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4.1 Why Crack Band?---Crack-Parallel Stress and Other Evidence |
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85 | (3) |
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4.2 Strain Localization, Mesh Sensitivity, and Localization Limiters |
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88 | (6) |
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94 | (10) |
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4.4 Nonlocal Integral and Gradient Models |
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104 | (6) |
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4.5 Discrete Computational Models |
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110 | (2) |
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5 Energetic Size Effect in Quasibrittle Fracture |
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112 | (28) |
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5.1 Nominal Structural Strength and Size Effect |
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112 | (1) |
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5.2 Power-Law Scaling in Absence of Characteristic Length |
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113 | (5) |
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5.3 Dimensional Analysis of Size Effect |
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118 | (1) |
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5.4 Second-Order Asymptotic Scaling Behavior at Small Size Limit |
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119 | (4) |
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5.5 Derivation of Size Effect Equations Using Equivalent LEFM |
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123 | (7) |
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5.6 Determination of R-Curve from Size Effect Analysis |
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130 | (3) |
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5.7 Size Effect Testing of Cohesive Law Parameters |
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133 | (7) |
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6 Probabilistic Theory of Quasibrittle Fracture |
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140 | (47) |
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6.1 Weibull Statistics of Structural Strength |
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141 | (8) |
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6.2 Finite Weakest-Link Model of Strength Distribution of Quasibrittle Structures |
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149 | (19) |
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6.3 Mean Size Effect on Structural Strength |
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168 | (3) |
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6.4 Problem with Applying Three-Parameter Weibull Distribution |
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171 | (2) |
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6.5 Apercu of Fishnet Statistics for Biomimetic, Architectured, Octet-Lattice and Some Particulate Materials |
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173 | (8) |
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6.6 Remark on Failure Probability of Concrete Specimens of Random Mean Strength in Large Database |
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181 | (6) |
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7 Quasibrittle Size Effect Analysis in Practical Problems |
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187 | (73) |
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7.1 Tensile Fracture Problems |
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188 | (14) |
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7.2 Tensile Fracture of Sea Ice |
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202 | (7) |
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7.3 Compression Fracture with Shear and Size Effects |
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209 | (19) |
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7.4 Tensile Fracture and Size Effect in Fiber Composites |
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228 | (14) |
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7.5 Bone Fracture and Size Effect |
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242 | (3) |
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7.6 Size Effect in Polymer Nanocomposites |
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245 | (2) |
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7.7 Interfacial Fracture of Metal-Composite Hybrid Joints |
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247 | (4) |
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7.8 Reliability of Polycrystalline Silicon MEMS Devices |
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251 | (4) |
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7.9 Analogy with Scaling of Small-Scale Yielding Fracture of Metals |
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255 | (5) |
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260 | (10) |
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8.1 Classical Theories of Fracture Mechanics and Scaling |
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260 | (2) |
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8.2 Development of Cohesive Crack Model |
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262 | (1) |
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263 | (1) |
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8.4 Quasibrittlenes, Scaling, and Fictitious Crack Model |
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264 | (1) |
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265 | (1) |
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8.6 Nonlocal Continuum Modeling of Softening Damage |
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266 | (2) |
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8.7 Size Effect in Shear Failure of RC Beams |
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268 | (2) |
Appendix A Mathematical Proof of Path Independence of J-Integral |
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270 | (2) |
Appendix B Derivation of Size Effect Equations by Dimensional Analysis and Asymptotic Matching |
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272 | (1) |
B.1 Type 2 size effect |
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273 | (1) |
B.2 Type 1 size effect |
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273 | (2) |
Appendix C Universal Size Effect Law and Crack Length Effect |
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275 | (31) |
Author Index |
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306 | (8) |
Subject Index |
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314 | |