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Introduction to Fracture Mechanics
(§ 1.0.0)
Tutorial Contents
1.0.0
Introduction to Fracture Mechanics
1.1.0
Aloha Airlines, Flight 243
1.2.0
Silver Bridge
2.0.0
Mathematical Theory
2.1.0
Equilibrium (
Kinetics
)
2.2.0
Smooth Deformation (
Continuity
)
2.3.0
Linear Elastic Behavior (
Constitutive
Relations
)
2.4.0
Combining Equilibrium, Smooth Deformation, and Linear Elastic Behavior
2.5.0
Boundary Conditions
2.6.0
Airy's Stress Function (
Optional Section)
2.7.0
Complex Stress Functions (
Optional Section
)
2.8.0
Polar Coordinates and Trigonometric Relations (
Optional Section
)
2.9.0
Final Expressions for Stresses Ahead of a Crack Tip
3.0.0
Simulation
3.1.0
Visualization with MATLAB
4.0.0
Experiment
4.1.0
Photoelastic Stress Analysis
4.2.0
Plane Stress versus Plane Strain
4.2.1
Introduction to Plane Stress
4.2.2
Mohr's Circle (
Plane Stress
)
4.2.3
Introduction to Plane Strain
4.2.4
Mohr's Circle (
Plane Strain
)
4.2.5
Quantifying the Difference
4.3.0
Visualization using Photoelasticity
4.3.1
Polarizer
4.3.2
Quarterwave Plate 1
4.3.3
Stressed Model
4.3.4
Quarterwave Plate 2
4.3.5
Analyzer
August 9, 2004