Page 7 - Mechanical Behavior of Materials

Contents 7

7 Yielding and Fracture under Combined Stresses 275

7.1 Introduction 275
7.2 General Form of Failure Criteria 277
7.3 Maximum Normal Stress Fracture Criterion 279
7.4 Maximum Shear Stress Yield Criterion 282
7.5 Octahedral Shear Stress Yield Criterion 288
7.6 Discussion of the Basic Failure Criteria 295
7.7 Coulomb–Mohr Fracture Criterion 301
7.8 Modified Mohr Fracture Criterion 311
7.9 Additional Comments on Failure Criteria 318
7.10 Summary 321
References 322
Problems and Questions 323

8 Fracture of Cracked Members 334

8.1 Introduction 334
8.2 Preliminary Discussion 337
8.3 Mathematical Concepts 344
8.4 Application of K to Design and Analysis 348
8.5 Additional Topics on Application of K 359
8.6 Fracture Toughness Values and Trends 371
8.7 Plastic Zone Size, and Plasticity Limitations on LEFM 381
8.8 Discussion of Fracture Toughness Testing 390
8.9 Extensions of Fracture Mechanics Beyond Linear Elasticity 391
8.10 Summary 398
References 401
Problems and Questions 402

9 Fatigue of Materials: Introduction and Stress-Based Approach 416

9.1 Introduction 416
9.2 Definitions and Concepts 418
9.3 Sources of Cyclic Loading 429
9.4 Fatigue Testing 430
9.5 The Physical Nature of Fatigue Damage 435
9.6 Trends in S-N Curves 441
9.7 Mean Stresses 451
9.8 Multiaxial Stresses 463
9.9 Variable Amplitude Loading 468
9.10 Summary 478
References 479
Problems and Questions 481