Problems of Fracture Mechanics and Fatigue: A Solution Guide

Front Matter....Pages i-xxv
Front Matter....Pages 1-1
Airy Stress Function Method....Pages 3-9
Westergaard Method for a Crack Under Concentrated Forces....Pages 11-15
Westergaard Method for a Periodic Array of Cracks Under Concentrated Forces....Pages 17-20
Westergaard Method for a Periodic Array of Cracks Under Uniform Stress....Pages 21-23
Calculation of Stress Intensity Factors by the Westergaard Method....Pages 25-29
Westergaard Method for a Crack Under Distributed Forces....Pages 31-32
Westergaard Method for a Crack Under Concentrated Forces....Pages 33-37
Westergaard Method for a Crack Problem....Pages 39-40
Westergaard Method for a Crack Subjected to Shear Forces....Pages 41-43
Calculation of Stress Intensity Factors by Superposition....Pages 45-48
Calculation of Stress Intensity Factors by Integration....Pages 49-51
Stress Intensity Factors for a Linear Stress Distribution....Pages 53-56
Mixed-Mode Stress Intensity Factors in Cylindrical Shells....Pages 57-61
Photoelastic Determination of Stress Intensity Factor K I ....Pages 63-64
Photoelastic Determination of Mixed-Mode Stress Intensity Factors K I and K II ....Pages 65-68
Problem 16: Application of the Method of Weight Function for the Determination of Stress Intensity Factors....Pages 69-72
Approximate Determination of the Crack Tip Plastic Zone for Mode-I and Mode-II Loading....Pages 75-79
Approximate Determination of the Crack Tip Plastic Zone for Mixed-Mode Loading....Pages 81-82
Approximate Determination of the Crack Tip Plastic Zone According to the Tresca Yield Criterion....Pages 83-89
Approximate Determination of the Crack Tip Plastic Zone According to a Pressure Modified Mises Yield Criterion....Pages 91-94
Front Matter....Pages 1-1
Crack Tip Plastic Zone According to Irwin’s Model....Pages 95-97
Effective Stress intensity Factor According to Irwin’ Model....Pages 99-101
Plastic Zone at the Tip of a Semi-Infinite Crack According to the Dugdale Model....Pages 103-105
Mode-III Crack Tip Plastic Zone According to the Dugdale Model....Pages 107-111
Plastic Zone at the Tip of a Penny-Shaped Crack According to the Dugdale Model....Pages 113-115
Calculation of Strain Energy Release Rate from Load — Displacement — Crack Area Equation....Pages 117-120
Calculation of Strain Energy Release Rate for Deformation Modes I, II and III....Pages 121-125
Compliance of a Plate with a Central Crack....Pages 127-130
Strain Energy Release Rate for a Semi-Infinite Plate with a Crack....Pages 131-134
Strain Energy Release Rate for the Short Rod Specimen....Pages 135-137
Strain Energy Release Rate for the Blister Test....Pages 139-141
Calculation of Stress Intensity Factors Based on Strain Energy Release Rate....Pages 143-146
Critical Strain Energy Release Rate....Pages 147-153
Experimental Determination of Critical Stress Intensity Factor K I ....Pages 155-160
Experimental Determination of K Ic ....Pages 161-162
Crack Stability....Pages 163-168
Stable Crack Growth Based on the Resistance Curve Method....Pages 169-172
Three-Point Bending Test in Brittle Materials....Pages 173-176
Three-Point Bending Test in Quasi Brittle Materials....Pages 177-181
Double-Cantilever Beam Test in Brittle Materials....Pages 183-187
Front Matter....Pages 1-1
Design of a Pressure Vessel....Pages 189-192
Thermal Loads in a Pipe....Pages 193-195
J-integral for an Elastic Beam Partly Bonded to a Half-Plane....Pages 197-200
J-integral for a Strip with a Semi-Infinite Crack....Pages 201-205
J-integral for Two Partly Bonded Layers....Pages 207-209
J-integral for Mode-I....Pages 211-218
J-integral for Mode-III....Pages 219-222
Path Independent Integrals....Pages 223-228
Stresses Around Notches....Pages 229-231
Experimental Determination of J Ic from J — Crack Growth Curves....Pages 233-237
Experimental Determination of J from Potential Energy — Crack Length Curves....Pages 239-241
Experimental Determination of J from Load — Displacement Records....Pages 243-245
Experimental Determination of J from a Compact Tension Specimen....Pages 247-249
Validity of J Ic and K Ic Tests....Pages 251-252
Critical Crack Opening Displacement....Pages 253-256
Crack Opening Displacement Design Methodology....Pages 257-260
Critical Fracture Stress of a Plate with an Inclined Crack....Pages 263-268
Critical Crack Length of a Plate with an Inclined Crack....Pages 269-272
Failure of a Plate with an Inclined Crack....Pages 273-275
Growth of a Plate with an Inclined Crack Under Biaxial Stresses....Pages 277-282
Front Matter....Pages 1-1
Crack Growth Under Mode-II Loading....Pages 283-285
Growth of a Circular Crack Loaded Perpendicularly to its Cord by Tensile Stress....Pages 287-289
Growth of a Circular Crack Loaded Perpendicularly to its Cord by Compressive Stress....Pages 291-292
Growth of a Circular Crack Loaded Parallel to its Cord....Pages 293-296
Growth of Radial Cracks Emanating from a Hole....Pages 297-300
Strain Energy Density in Cuspidal Points of Rigid Inclusions....Pages 301-303
Failure from Cuspidal Points of Rigid Inclusions....Pages 305-307
Failure of a Plate with a Hypocycloidal Inclusion....Pages 309-313
Crack Growth From Rigid Rectilinear Inclusions....Pages 315-317
Crack Growth Under Pure Shear....Pages 319-325
Critical Stress in Mixed Mode Fracture....Pages 327-331
Critical Stress for an Interface Crack....Pages 333-337
Failure of a Pressure Vessel with an Inclined Crack....Pages 339-341
Failure of a Cylindrical Bar with a Circular Crack....Pages 343-346
Failure of a Pressure Vessel Containing a Crack with Inclined Edges....Pages 347-349
Failure of a Cylindrical Bar with a Ring-Shaped Edge Crack....Pages 351-354
Stable and Unstable Crack Growth....Pages 355-357
Dynamic Stress Intensity Factor....Pages 359-363
Crack Speed During Dynamic Crack Propagation....Pages 365-367
Rayleigh Wave Speed....Pages 369-372
Front Matter....Pages 1-1
Dilatational, Shear and Rayleigh Wave Speeds....Pages 373-375
Speed and Acceleration of Crack Propagation....Pages 377-382
Stress Enhanced Concentration of Hydrogen Around Crack Tips....Pages 385-395
Subcritical Crack Growth due to the Presence of a Deleterious Species....Pages 397-401
Front Matter....Pages 403-403
Estimating the lifetime of aircraft wing stringers....Pages 405-408
Estimating long life fatigue of components....Pages 409-412
Strain life fatigue estimation of automotive component....Pages 413-418
Lifetime estimates using LEFM....Pages 419-421
Lifetime of a gas pipe....Pages 423-425
Pipe failure and lifetime using LEFM....Pages 427-430
Strain life fatigue analysis of automotive suspension component....Pages 431-437
Fatigue crack growth in a center-cracked thin aluminium plate....Pages 439-440
Effect of crack size on fatigue life....Pages 441-443
Effect of fatigue crack length on failure mode of a center-cracked thin aluminium plate....Pages 445-447
Crack propagation under combined tension and bending....Pages 449-452
Influence of mean stress on fatigue crack growth for thin and thick plates....Pages 453-454
Critical fatigue crack growth in a rotor disk....Pages 455-456
Applicability of LEFM to Fatigue Crack Growth....Pages 457-460
Fatigue crack growth in the presence of residual stress field....Pages 461-464
Fatigue crack growth in a plate containing an open hole....Pages 467-468
Front Matter....Pages 403-403
Infinite life for a plate with a semi-circular notch....Pages 469-471
Infinite Life for a plate with a central hole....Pages 473-475
Crack Initiation in a sheet containing a central hole....Pages 477-480
Inspection Scheduling....Pages 483-486
Safety Factor of a U-Notched Plate....Pages 487-490
Safety Factor and Fatigue Life Estimates....Pages 491-494
Design of a circular bar for safe life....Pages 495-496
Threshold and LEFM....Pages 497-500
Safety Factor and Residual Strength....Pages 501-503
Design of a rotating circular shaft for safe life....Pages 505-507
Safety factor of a notched member containing a central crack....Pages 509-517
Safety Factor of a Disk Sander....Pages 519-526
Short Cracks and LEFM Error....Pages 529-532
Stress Ratio effect on the Kitagawa-Takahashi diagram....Pages 533-537
Susceptibility of Materials to Short Cracks....Pages 539-542
The effect of the Stress Ratio on the Propagation of Short Fatigue Cracks in 2024-T3....Pages 543-548
Crack Growth rate during irregular loading....Pages 551-552
Fatigue life under two-stage block loading....Pages 553-554
The Application of Wheeler’s Model....Pages 555-557
Fatigue Life Under Multiple-Stage Block Loading....Pages 559-561
Front Matter....Pages 403-403
Fatigue Life Under two-stage Block Loading Using Non-Linear Damage Accumulation....Pages 563-564
Fatigue Crack Retardation Following a Single Overload....Pages 565-567
Fatigue Life of a Pipe Under Variable Internal Pressure....Pages 569-572
Fatigue Crack Growth Following a Single Overload Based on Crack Closure....Pages 573-574
Fatigue Crack Growth Following a Single Overload Based on Crack-Tip Plasticity....Pages 575-577
Fatigue Crack Growth and Residual Strength of a Double Edge Cracked Panel Under Irregular Fatigue Loading....Pages 579-582
Fatigue Crack Growth Rate Under Irregular Fatigue Loading....Pages 583-584
Fatigue Life of a Pressure Vessel Under Variable Internal Pressure....Pages 585-587
Equibiaxial Low Cycle Fatigue....Pages 589-591
Mixed Mode Fatigue Crack Growth in a Center-Cracked Panel....Pages 593-595
Collapse Stress and the Dugdale’s Model....Pages 597-599
Torsional Low Cycle Fatigue....Pages 601-606
Fatigue Life Assessment of a Plate Containing Multiple Cracks....Pages 607-610
Fatigue Crack Growth and Residual Strength in a Simple MSD Problem....Pages 611-614
Back Matter....Pages 615-618