Exam (elaborations) TEST BANK FOR Problems of Fracture Mechanics

,Problems of Fracture Mechanics
and Fatigue
A Solution Guide



Edited by
E.E. GDOUTOS
Democritus University ofThrace,
Xanthi, Greece


C.A. RODOPOULOS
Materials Research Institute,
Sheffield Hallam University,
Sheffield, United Kingdom


J.R. YATES
University of Sheffield,
Sheffield, United Kingdom




SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.

, Table of Contents


Editor's Preface on Fracture Mechanics xix

Editors Preface on Fatigue xxiii

List of Contributors XXV



PART A: FRACTURE MECHANICS

1. Linear Elastic Stress Field

Problem 1: Airy Stress Function Method 3
E.E. Gdoutos

Problem 2: Westergaard Method for a Crack Under Concentrated Forces 11
E.E. Gdoutos

Problem 3: Westergaard Method for a Periodic Array of Cracks Under
Concentrated Forces 17
E.E. Gdoutos

Problem 4: Westergaard Method for a Periodic Array of Cracks Under
Uniform Stress 21
E.E. Gdoutos

Problem 5: Calculation of Stress Intensity Factors by the Westergaard Method 25
E.E. Gdoutos

Problem 6: Westergaard Method for a Crack Under Distributed Forces 31
E.E. Gdoutos

Problem 7: Westergaard Method for a Crack Under Concentrated Forces 33
E.E. Gdoutos

Problem 8: Westergaard Method for a Crack Problem 39
E.E. Gdoutos

Problem 9: Westergaard Method for a Crack Subjected to Shear Forces 41
E.E. Gdoutos

, Vlll Table of Contents

Problem 10: Calculation of Stress Intensity Factors by Superposition 45
M.S. Konsta-Gdoutos

Problem 11: Calculation of Stress Intensity Factors by Integration 49
E.E. Gdoutos

Problem 12: Stress Intensity Factors for a Linear Stress Distribution 53
E.E. Gdoutos

Problem 13: Mixed-Mode Stress Intensity Factors in Cylindrical Shells 57
E.E. Gdoutos

Problem 14: Photoelastic Determination of Stress Intensity Factor K1 63
E.E. Gdoutos

Problem 15: Photoelastic Determination of Mixed-Mode Stress Intensity
Factors K1 and Kn 65
M.S. Konsta-Gdoutos

Problem 16: Application of the Method of Weight Function for the
Determination of Stress Intensity Factors 69
L. Banks-Sills

2. Elastic-Plastic Stress Field

Problem 17: Approximate Determination of the Crack Tip Plastic Zone
for Mode-l and Mode-ll Loading 75
E.E. Gdoutos

Problem 18: Approximate Determination of the Crack Tip Plastic Zone
for Mixed-Mode Loading 81
E.E. Gdoutos
Problem 19: Approximate Determination of the Crack Tip Plastic Zone
According to the Tresca Yield Criterion 83
M.S. Konsta-Gdoutos

Problem 20: Approximate Determination of the Crack Tip Plastic Zone
According to a Pressure Modified Mises Yield Criterion 91
E.E. Gdoutos

Problem 21: Crack Tip Plastic Zone According to Irwin's Model 95
E.E. Gdoutos

Problem 22: Effective Stress Intensity factor According to Irwin's Model 99
E.E. Gdoutos