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أخوانى فى الله أحضرت لكم كتاب Fracture Mechanics - An Introduction - Second Edition E.E. Gdoutos Democritus University of Thrace, Xanthi, Greece
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Contents Conversion table ix Preface to the Second Edition xi Preface xiii 1. Introduction 1 1.1. Conventional failure criteria 1 1.2. Characteristic brittle failures 3 1.3. Griffith’s work 5 1.4. Fracture mechanics 10 References 13 2. Linear Elastic Stress Field in Cracked Bodies 15 2.1. Introduction 15 2.2. Crack deformation modes and basic concepts 15 2.3. Westergaard method 17 2.4. Singular stress and displacement fields 20 2.5. Stress intensity factor solutions 27 2.6. Three-dimensional cracks 28 Examples 29 Problems 37 Appendix 2.1 53 References 55 3. Elastic-Plastic Stress Field in Cracked Bodies 57 3.1. Introduction 57 3.2. Approximate determination of the crack-tip plastic zone 58 3.3. Irwin’s model 63 3.4. Dugdale’s model 65 Examples 68 Problems 73 References 76 vvi Contents 4. Crack Growth Based on Energy Balance 79 4.1. Introduction 79 4.2. Energy balance during crack growth 80 4.3. Griffith theory 81 4.4. Graphical representation of the energy balance equation 82 4.5. Equivalence between strain energy release rate and stress intensity factor 86 4.6. Compliance 89 4.7. Crack stability 91 Examples 94 Problems 106 References 116 5. Critical Stress Intensity Factor Fracture Criterion 117 5.1. Introduction 117 5.2. Fracture criterion 118 5.3. Variation of Kc with thickness 118 5.4. Experimental determination of KIc 122 5.5. Crack growth resistance curve (R-curve) method 128 5.6. Fracture mechanics design methodology 133 Examples 134 Problems 145 Appendix 5.1 150 References 151 6. J -Integral and Crack Opening Displacement Fracture Criteria 153 6.1. Introduction 153 6.2. Path-independent integrals 153 6.3. J -integral 155 6.4. Relationship between the J -integral and potential energy 158 6.5. J -integral fracture criterion 160 6.6. Experimental determination of the J -integral 161 6.7. Stable crack growth studied by the J -integral 169 6.8. Crack opening displacement (COD) fracture criterion 170 Examples 176 Problems 184 References 192 7. Strain Energy Density Failure Criterion: Mixed-Mode Crack Growth 195 7.1. Introduction 195 7.2. Volume strain energy density 196 7.3. Basic hypotheses 199 7.4. Two-dimensional linear elastic crack problems 201Contents vii 7.5. Uniaxial extension of an inclined crack 203 7.6. Ductile fracture 209 7.7. The stress criterion 213 Examples 215 Problems 228 References 238 8. Dynamic Fracture 239 8.1. Introduction 239 8.2. Mott’s model 240 8.3. Stress field around a rapidly propagating crack 243 8.4. Strain energy release rate 246 8.5. Crack branching 248 8.6. Crack arrest 250 8.7. Experimental determination of crack velocity and dynamic stress intensity factor 250 Examples 253 Problems 260 References 263 9. Fatigue and Environment-Assisted Fracture 265 9.1. Introduction 265 9.2. Fatigue crack propagation laws 267 9.3. Fatigue life calculations 271 9.4. Variable amplitude loading 272 9.5. Environment-assisted fracture 275 Examples 277 Problems 287 References 292 10. Micromechanics of Fracture 293 10.1. Introduction 293 10.2. Cohesive strength of solids 294 10.3. Cleavage fracture 296 10.4. Intergranular fracture 298 10.5. Ductile fracture 299 10.6. Crack detection methods 301 References 303 11. Composite Materials 305 11.1. Introduction 305 11.2. Through-thickness cracks 306viii Contents 11.3. Interlaminar fracture 311 References 322 12. Thin Films 323 12.1. Introduction 323 12.2. Interfacial failure of a bimaterial system 324 12.3. Steady-state solutions for cracks in bilayers 328 12.4. Thin films under tension 331 12.5. Measurement of interfacial fracture toughness 333 References 338 13. Nanoindentation 339 13.1. Introduction 339 13.2. Nanoindentation for measuring Young’s modulus and hardness 339 13.3. Nanoindentation for measuring fracture toughness 343 13.4. Nanoindentation for measuring interfacial fracture toughness – Conical indenters 346 13.5. Nanoindentation for measuring interfacial fracture toughness – Wedge indenters 350 References 352 14. Cementitious Materials 353 14.1. Introduction 353 14.2. Why fracture mechanics of concrete? 354 14.3. Tensile behavior of concrete 355 14.4. The fracture process zone 357 14.5. Fracture mechanics 359 14.6. Modelling the fracture process zone 359 14.7. Experimental determination of GIc 361 14.8. Size effect 363 14.9. Fiber reinforced cementitious materials (FRCMs) 365 References 365 Index 36
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