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Problems of Fracture Mechanics and Fatigue : A Solution Guide - Emmanuel E. Gdoutos

Problems of Fracture Mechanics and Fatigue

A Solution Guide

By: Emmanuel E. Gdoutos (Editor), Chris A. Rodopoulos (Editor), J.R. Yates (Editor)

Hardcover

Published: 30th November 2003
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On Fracture Mechanics A major objective of engineering design is the determination of the geometry and dimensions of machine or structural elements and the selection of material in such a way that the elements perform their operating function in an efficient, safe and economic manner. For this reason the results of stress analysis are coupled with an appropriate failure criterion. Traditional failure criteria based on maximum stress, strain or energy density cannot adequately explain many structural failures that occurred at stress levels considerably lower than the ultimate strength of the material. On the other hand, experiments performed by Griffith in 1921 on glass fibers led to the conclusion that the strength of real materials is much smaller, typically by two orders of magnitude, than the theoretical strength. The discipline of fracture mechanics has been created in an effort to explain these phenomena. It is based on the realistic assumption that all materials contain crack-like defects from which failure initiates. Defects can exist in a material due to its composition, as second-phase particles, debonds in composites, etc. , they can be introduced into a structure during fabrication, as welds, or can be created during the service life of a component like fatigue, environment-assisted or creep cracks. Fracture mechanics studies the loading-bearing capacity of structures in the presence of initial defects. A dominant crack is usually assumed to exist.

Editor's Preface on Fracture Mechanics
Editors Preface on Fatigue
List of Contributors
Airy Stress Function Methodp. 3
Westergaard Method for a Crack Under Concentrated Forcesp. 11
Westergaard Method for a Periodic Array of Cracks Under Concentrated Forcesp. 17
Westergaard Method for a Periodic Array of Cracks Under Uniform Stressp. 21
Calculation of Stress Intensity Factors by the Westergaard Methodp. 25
Westergaard Method for a Crack Under Distributed Forcesp. 31
Westergaard Method for a Crack Under Concentrated Forcesp. 33
Westergaard Method for a Crack Problemp. 39
Westergaard Method for a Crack Subjected to Shear Forcesp. 41
Calculation of Stress Intensity Factors by Superpositionp. 45
Calculation of Stress Intensity Factors by Integrationp. 49
Stress Intensity Factors for a Linear Stress Distributionp. 53
Mixed-Mode Stress Intensity Factors in Cylindrical Shellsp. 57
Photoelastic Determination of Stress Intensity Factors K[subscript I]p. 63
Photoelastic Determination of Mixed-Mode Stress Intensity Factors K[subscript I] and K[subscript II]p. 65
Application of the Method of Weight Function for the Determination of Stress Intensity Factorsp. 69
Approximate Determination of the Crack Tip Plastic Zone for Mode-I and Mode-II Loadingp. 75
Approximate Determination of the Crack Tip Plastic Zone for Mixed-Mode Loadingp. 81
Approximate Determination of the Crack Tip Plastic Zone According to the Tresca Yield Criterionp. 83
Approximate Determination of the Crack Tip Plastic Zone According to a Pressure Modified Mises Yield Criterionp. 91
Crack Tip Plastic Zone According to Irwin's Modelp. 95
Effective Stress Intensity factor According to Irwin's Modelp. 99
Plastic Zone at the Tip of a Semi-Infinite Crack According to the Dugdale Modelp. 103
Model-III Crack Tip Plastic Zone According to the Dugdale Modelp. 107
Plastic Zone at the Tip of a Penny-Shaped Crack According to the Dugdale Modelp. 113
Calculation of Strain Energy Release Rate from Load - Displacement - Crack Area Equationp. 117
Calculation of Strain Energy Release Rate for Deformation Modes I, II and IIIp. 121
Compliance of a Plate with a Central Crackp. 127
Strain Energy Release Rate for a Semi-Infinite Plate with a Crackp. 131
Strain Energy Release Rate for the Short Rod Specimenp. 135
Strain Energy Release Rate for the Blister Testp. 139
Calculation of Stress Intensity Factors Based on Strain Energy Release Ratep. 143
Critical Strain Energy Release Ratep. 147
Experimental Determination of Critical Stress Intensity Factor K[subscript Ic]p. 155
Experimental Determination of K[subscript Ic]p. 161
Crack Stabilityp. 163
Stable Crack Growth Based on the Resistance Curve Methodp. 169
Three-Point Bending Test in Brittle Materialsp. 173
Three-Point Bending Test in Quasi Brittle Materialsp. 177
Double-Cantilever Beam Test in Brittle Materialsp. 183
Design of a Pressure Vesselp. 189
Thermal Loads in a Pipep. 193
J-integral for an Elastic Beam Partly Bonded to a Half-Planep. 197
J-integral for a Strip with a Semi-Infinite Crackp. 201
J-integral for Two Partly Bonded Layersp. 207
J-Integral for Mode-Ip. 211
J-integral for Mode IIIp. 219
Path Independent Integralsp. 223
Stress Around Notchesp. 229
Experimental Determination of J[subscript Ic] from J - Crack Growth Curvesp. 233
Experimental Determination of J from Potential Energy - Crack Length Curvesp. 239
Experimental Determination of J from Load-Displacement Recordsp. 243
Experimental Determination of J from a Compact Tension Specimenp. 247
Validity of J[subscript Ic] and K[subscript Ic] Testsp. 251
Critical Crack Opening Displacementp. 253
Crack Opening Displacement Design Methodologyp. 257
Critical Fracture Stress of a Plate with an Inclined Crackp. 263
Critical Crack Length of a Plate with an Inclined Crackp. 269
Failure of a Plate with an Inclined Crackp. 273
Growth of a Plate with an Inclined Crack Under Biaxial Stressesp. 277
Crack Growth Under Mode-II Loadingp. 283
Growth of a Circular Crack Loaded Perpendicularly to its Cord by Tensile Stressp. 287
Growth of a Circular Crack Loaded Perpendicular to its Cord by Compressive Stressp. 291
Growth of a Circular Crack Loaded Parallel to its Cordp. 293
Growth of Radial Cracks Emanating from a Holep. 297
Strain Energy Density in Cuspidal Points of Rigid Inclusionsp. 301
Failure from Cuspidal Points of Rigid Inclusionsp. 305
Failure of a Plate with a Hypocycloidal Inclusionp. 309
Crack Growth From Rigid Rectilinear Inclusionsp. 315
Crack Growth Under Pure Shearp. 319
Critical Stress in Mixed Mode Fracturep. 327
Critical Stress for an Interface Crackp. 333
Failure of a Pressure Vessel with an Inclined Crackp. 339
Failure of a Cylindrical bar with a Circular Crackp. 343
Failure of a Pressure Vessel Containing a Crack with Inclined Edgesp. 347
Failure of a Cylindrical Bar with a Ring-Shaped Edge Crackp. 351
Stable and Unstable Crack Growthp. 355
Dynamic Stress Intensity Factorp. 359
Crack Speed During Dynamic Crack Propagationp. 365
Rayleigh Wave Speedp. 369
Dilatational, Shear and Rayleigh Wave Speedsp. 373
Speed and Acceleration of Crack Propagationp. 377
Stress Enhanced Concentration of Hydrogen around Crack Tipsp. 385
Subcritical Crack Growth due to the Presence of a Deleterious Speciesp. 397
Estimating the Lifetime of Aircraft Wing Stringersp. 405
Estimating Long Life Fatigue of Componentsp. 409
Strain Life Fatigue Estimation of Automotive Componentp. 413
Lifetime Estimates Using LEFMp. 419
Lifetime of a Gas Pipep. 423
Pipe Failure and Lifetime Using LEFMp. 427
Strain Life Fatigue Analysis of Automotive Suspension Componentp. 431
Fatigue Crack Growth in a Center-Cracked Thin Aluminium Platep. 439
Effect of Crack Size on Fatigue Lifep. 441
Effect of Fatigue Crack Length on Failure Mode of a Center-Cracked Thin Aluminium Platep. 445
Crack Propagation Under Combined Tension and Bendingp. 449
Influence of Mean Stress on Fatigue Crack Growth for Thin and Thick Platesp. 453
Critical Fatigue Crack Growth in a Rotor Diskp. 455
Applicability of LEFM to Fatigue Crack Growthp. 457
Fatigue Crack Growth in the Presence of Residual Stress Fieldp. 461
Fatigue Crack Growth in a Plate Containing an Open Holep. 467
Infinite Life for a Plate with a Semi-circular Notchp. 469
Infinite Life for a Plate with a Central Holep. 473
Crack Initiation in a Sheet Containing a Central Holep. 477
Inspection Schedulingp. 483
Safety Factor of a U-Notched Platep. 487
Safety Factor and Fatigue Life Estimatesp. 491
Design of a Circular Bar for Safe Lifep. 495
Threshold and LEFMp. 497
Safety Factor and Residual Strengthp. 501
Design of a Rotating Circular Shaft for Safe Lifep. 505
Safety Factor of a Notched Member Containing a Central Crackp. 509
Safety Factor of a Disk Sanderp. 519
Short Cracks and LEFM Errorp. 529
Stress Ratio effect on the Kitagawa-Takahashi diagramp. 533
Susceptibility of Materials to Short Cracksp. 539
The effect of the Stress Ratio on the Propagation of Short Fatigue Cracks in 2024-T3p. 543
Crack Growth Rate During Irregular Loadingp. 551
Fatigue Life Under two-stage Block Loadingp. 553
The Application of Wheeler's Modelp. 555
Fatigue Life Under Multiple-Stage Block Loadingp. 559
Fatigue Life Under two-stage Block Loading Using Non-Linear Damage Accumulationp. 563
Fatigue Crack Retardation Following a Single Overloadp. 565
Fatigue Life of a Pipe Under Variable Internal Pressurep. 569
Fatigue Crack Growth Following a Single Overload Based on Crack Closurep. 573
Fatigue Crack Growth Following a Single Overload Based on Crack-Tip Plasticityp. 575
Fatigue Crack Growth and Residual Strength of a Double Edge Cracked Panel Under Irregular Fatigue Loadingp. 579
Fatigue Crack Growth Rate Under Irregular Fatigue Loadingp. 583
Fatigue Life of Pressure Vessel Under Variable Internal Pressurep. 585
Equibiaxial Low Cycle Fatiguep. 589
Mixed Mode Fatigue Crack Growth in a Center-Cracked Panelp. 593
Collapse Stress and the Dugdale's Modelp. 597
Torsional Low Cycle Fatiguep. 601
Fatigue Life Assessment of a Plate Containing Multiple Cracksp. 607
Fatigue Crack Growth and Residual Strength in a Simple MSD Problemp. 611
Indexp. 615
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402017599
ISBN-10: 1402017596
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 618
Published: 30th November 2003
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.56
Weight (kg): 2.38