Fatigue and Fracture Reliability Engineering

Preface

Contents

Deterministic Theorem on Fatigue and Fracture

1.1 Introduction

1.2 Fatigue Failure Character and Fracture Analysis

1.3 Cyclic Stress and S–N Curve

1.4 Constant Life Curve and Generalized Fatigue S–N Surface

1.5 Stress State and Growth Mode of Penetrated Crack

1.6 Crack Growth Rate and Generalized Fracture S– N Surface

1.7 Total Life Prediction

References

Reliability and Confidence Levels of Fatigue Life

2.1 Introduction

2.2 Basic Concepts in Fatigue Statistics

2.3 Probability Distribution of Fatigue Life

2.4 Point Estimation of Population Parameter

2.5 Interval Estimation of Population Mean and Standard Deviation

2.6 Interval Estimation of Population Percentile

References

Principles Underpinning Reliability based Prediction of Fatigue and Fracture Behaviours

3.1 Introduction

3.2 A Randomized Approach to a Deterministic Equation

3.3 Single-Point Likelihood Method

3.4 Generalized Constant Life Curve and Two-Dimensional Probability Distribution of Generalized Strength

3.5 Full-range S–N Curve and Crack Growth Rate Curve with Four Parameters

3.6 Reliability Determination of Fatigue Behaviour Based on Incomplete Data

References

Data Treatment and Generation of Fatigue Load Spectrum

4.1 Introduction

4.2 Rain Flow-Loop Line Scheme

4.3 Two-Dimensional Probability Distribution of Fatigue Load

4.4 Quantification Criteria to Identify Load Cycle

4.5 Equivalent Damage Formulations

4.6 Experimental Verification

4.7 Application in Full-Scale Fatigue Test of Helicopter Tail

References

Reliability Design and Assessment for Total Structural Life

5.1 Introduction

5.2 Probability Method for Infinite Life Design

5.3 A Generalised Interference Model

5.4 Fracture Interference Model

5.5 Reduction Factor

5.6 Scatter Factor

5.7 Durability Model to Assess Economic Structural Life

References

Reliability Prediction for Fatigue Damage and Residual Life in Composites

6.1 Introduction

6.2 Two-Stage Theory on Composite Fatigue Damage

6.3 Fatigue-Driven Residual Strength Model based on Controlling Fatigue Stress

6.4 Fatigue-Driven Residual Strength Model based on Controlling Fatigue Strain

6.5 Constitutive Relations for Composite Damage

6.6 Stress Concentration of Notched Anisotropic Laminate

6.7 Composite Damage Evolution Equation and Generalized r– N Surface

References

Chaotic Fatigue

7.1 Introduction

7.2 Nonlinear Differential Kinetic Model of Atomic Motion at Crack Tip

7.3 Hopf Bifurcation of Atomic Motion at Crack Tip

7.4 Global Bifurcation of Atomic Motion at Crack Tip

7.5 Stochastic Bifurcation of Atomic Motion at Crack Tip

7.6 Solution of Fatigue Damage FPK ( Fokker- Planc- Kolgmorov) Equation

7.7 Damage Probability Distributions for Fatigue Crack Formation and Propagation

References