Page 13 - T. Anderson-Fracture Mechanics - Fundamentals and Applns.-CRC (2005)

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Table of Contents

Part I
Introduction ......................................................................................................................................1

Chapter 1
History and Overview........................................................................................................................3
1.1 Why Structures Fail..................................................................................................................3
1.2 Historical Perspective...............................................................................................................6
1.2.1 Early Fracture Research ..............................................................................................8
1.2.2 The Liberty Ships.........................................................................................................9
1.2.3 Post-War Fracture Mechanics Research ....................................................................10
1.2.4 Fracture Mechanics from 1960 to 1980.....................................................................10
1.2.5 Fracture Mechanics from 1980 to the Present...........................................................12
1.3 The Fracture Mechanics Approach to Design .......................................................................12
1.3.1 The Energy Criterion..................................................................................................12
1.3.2 The Stress-Intensity Approach ...................................................................................14
1.3.3 Time-Dependent Crack Growth and Damage Tolerance...........................................15
1.4 Effect of Material Properties on Fracture..............................................................................16
1.5 A Brief Review of Dimensional Analysis .............................................................................18
1.5.1 The Buckingham Π-Theorem....................................................................................18
1.5.2 Dimensional Analysis in Fracture Mechanics ...........................................................19
References ........................................................................................................................................21

Part II
Fundamental Concepts..................................................................................................................23

Chapter 2
Linear Elastic Fracture Mechanics ..................................................................................................25
2.1 An Atomic View of Fracture..................................................................................................25
2.2 Stress Concentration Effect of Flaws.....................................................................................27
2.3 The Griffith Energy Balance..................................................................................................29
2.3.1 Comparison with the Critical Stress Criterion...........................................................31
2.3.2 Modified Griffith Equation.........................................................................................32
2.4 The Energy Release Rate.......................................................................................................34
2.5 Instability and the R Curve ....................................................................................................38
2.5.1 Reasons for the R Curve Shape .................................................................................39
2.5.2 Load Control vs. Displacement Control....................................................................40
2.5.3 Structures with Finite Compliance.............................................................................41
2.6 Stress Analysis of Cracks ......................................................................................................42
2.6.1 The Stress Intensity Factor.........................................................................................43
2.6.2 Relationship between K and Global Behavior...........................................................45
2.6.3 Effect of Finite Size ...................................................................................................48
2.6.4 Principle of Superposition..........................................................................................54
2.6.5 Weight Functions........................................................................................................56