Reliability Physics and Engineering: Time-To-Failure Modeling

Author: J. W. McPherson
Publisher: Springer
Category: Probability & Statistics, Industrial Quality Control, Reliability Engineering, Energy Technology & Engineering, Electronics Engineering
Book Format: Hardcover

Reliability Physics and Engineering provides critically important information for designing and building reliable cost-effective products. The textbook contains numerous example problems with solutions. Included at the end of each chapter are exercise problems and answers. Reliability Physics and Engineering is a useful resource for students, engineers, and materials scientists.

Table Of Contents
1 Introduction

2 Materials and Device Degradation

2.1 Material/Device Parameter Degradation Modeling

2.1.1 Material/Device Parameter Decreases With Time

2.1.2 Material/Device Parameter Increases With Time

2.2 General Time-Dependent Degradation Models

2.3 Degradation Rate Modeling

2.4 Delays in the Start of Degradation

2.5 Competing Degradation Mechanisms

3 From Material/Device Degradation to Time-To-Failure

3.1 Time-To-Failure

3.2 Time-To-Failure Kinetics

4 Time-To-Failure Modeling

4.1 Flux-Divergence Impact on Time-To-Failure

4.2 Stress Dependence and Activation Energy

4.3 Conservative Time-To-Failure Models

4.4 Time-To-Failure Modeling Under High Stress

References

5 Gaussian Statistics - An Overview

5.1 Normal Distribution

5.2 Probability Density Function

5.3 Statistical Process Control

References

6 Time-To-Failure Statistics

6.1 Lognormal Probability Density Function

6.2 Weibull Probability Density Function

6.3 Multimodal Distributions

6.3.1 Multimodal Distribution (Separated In Time)

6.3.2 Mixed Multiple Failure Mechanisms

References

7 Failure Rate Modeling

7.1 Device Failure Rate

7.2 Average Failure Rate

7.2.1 Lognormal Average Failure Rate

7.2.2 Weibull Average Failure Rate

7.3 Instantaneous Failure Rate

7.3.1 Lognormal Instantaneous Failure Rate

7.3.2 Weibull Instantaneous Failure Rate

7.4 Bathtub Curve

7.5 Failure Rate for Electronic Devices

References

8 Accelerated Degradation

8.1 Metastable States

8.2 Impact of Temperature on Degradation Rate

8.3 Free-Energy of Activation

8.4 Impact of Stress and Temperature on Degradation Rate

8.4.1 Real Versus Virtual Stresses

8.4.2 Impact of Stress on Materials/Devices

8.5 Accelerated Degradation Rates

References

9 Acceleration Factor Modeling

9.1 Acceleration Factor

9.2 Power-Law Versus Exponential Acceleration

9.3 Cautions Associated with Accelerated Testing

9.4 Conservative Acceleration Factors

References

10 Ramp-To-Failure Testing

10.1 Ramp-To-Failure Testing

10.2 Linear Ramp-Rate

10.2.1 Linear Ramp with Exponential Acceleration

10.2.2 Linear Ramp with Power-Law Acceleration

10.3 Breakdown/Rupture Distributions

10.4 Cautions Associated With Ramp-To-Failure Testing

10.5 Transforming Breakdown/Rupture Distributions Into Constant-Stress Time-To-Failure Distributions

10.5.1 Transforming Breakdown/Rupture Distribution Time-To-Failure Distribution Using Exponential Acceleration

10.5.2 Transforming Breakdown/Rupture Distribution to Time-To-Failure Distribution Using Power-Law Acceleration

10.6 Constant-Stress Lognormal Time-To-Failure Distributions From Ramp Breakdown/Rupture Data

10.6.1 Exponential Acceleration

10.6.2 Power-Law Acceleration

10.7 Constant-Stress Weibull Time-To-Failure Distributions From Ramp Breakdown/Rupture Data

10.7.1 Exponential Acceleration

10.7.2 Power-Law Acceleration

References

11 Time-To-Failure Models for Selected Failure Mechanisms in Integrated Circuits

11.1 Electromigration (EM)

11.2 Stress Migration (SM)

11.2.1 SM in Aluminum Interconnects

11.2.2 SM in Copper Interconnects

11.3 Corrosion

11.3.1 Exponential Reciprocal-Humidity Model

11.3.2 Power-Law Humidity Model

11.3.3 Exponential Humidity Model

11.4 Thermal-Cycling/Fatigue Issues

11.5 Time-Dependent Dielectric Breakdown (TDDB)

11.5.1 Exponential E-Model

11.5.2 Exponential 1/E - Model

11.5.3 Power-Law Voltage V-Model

11.5.4 Exponential - Model

11.5.5 Which TDDB Model to Use

11.5.6 Complementary Electric-Field and Current-Models

11.6 Mobile-Ions/Surface-Inversion

11.7 Hot-Carrier Injection (HCI)

11.8 Negative-Bias Temperature Instability (NBTI)

References

12 Time-To-Failure Models for Selected Failure Mechanisms In Mechanical Engineering

12.1 Molecular Bonding in Materials

12.2 Origin of Mechanical Stresses in Materials

12.3 Elastic Behavior of Materials

12.4 Inelastic/Plastic Behavior of Materials

12.5 Important Defects Influencing Material Properties

12.5.1 Vacancies

12.5.2 Dislocations

12.5.3 Grain Boundaries

12.6 Fracture Strength of Materials

12.7 Stress Relief in Materials

12.8 Creep-Induced Failures

12.8.1 Creep Under Constant-Load/Stress Conditions

12.8.2 Creep Under Constant-Strain Conditions

12.9 Crack-Induced Failures

12.9.1 Stress Raisers/Risers at Crack Tips

12.9.2 Strain-Energy Release Rate

12.9.3 Fast Fracture/Rupture

12.10 Fatigue-Induced Failures

12.10.1 Fatigue for Materials (No Pre-Existing Cracks)

12.10.2 Low-Cycle Fatigue

12.10.3 High-Cycle Fatigue

12.10.4 Fatigue for Materials (With Pre-Existing Cracks)

12.11 Adhesion Failures

12.12 Thermal-Expansion Induced Failures

12.12.1 Thermal Expansion

12.12.2 Constrained Thermal Expansion

12.12.3 Thermal-Expansion Mismatch

12.12.4 Thin Films on Thick Substrates

12.13 Corrosion-Induced Failures

12.13.1 Dry Oxidation

12.13.2 Wet Oxidation

12.13.3 Impact of Stress on Corrosion Rates

References

13 Conversion of Dynamical Stresses Into Effective Static Values

13.1 Effective Static-Stress Equivalent Values

13.2 Effective Static-Stress Equivalent Values When Using Power-Law TF Models

13.3 Effective Static-Stress Equivalent Values When Using Exponential TF Models

13.4 Conversion Of A Dynamical Stress Pulse Into A Rectangular Stress Pulse Equivalent

13.4.1 Effective Rectangular Pulse Stress-Equivalent Values for Power-Law TF Models

13.4.2 Effective Rectangular Pulse Stress-Equivalent for Exponential TF Models

13.4.3 Numerical Integration

13.5 Effective Static-Temperature Equivalents

13.6 Mission Profiles

13.7 Avoidance of Resonant Frequencies

14 Increasing the Reliability of Device/Product Designs

14.1 Reliability Enhancement Factor

14.2 Electromigration Design Considerations

14.3 TDDB Design Considerations

14.4 NBTI Design Considerations

14.5 HCI Design Considerations

14.6 Surface Inversion Design Considerations

14.7 Creep Design Considerations

14.7.1 Creep in Rotors

14.7.2 Creep in Pressurized Vessels

14.7.3 Creep in Leaf Springs

14.7.4 Stress Relaxation in Clamps/Fasteners

14.8 Fatigue Design Considerations

14.8.1 Fatigue in Storage Vessels

14.8.2 Fatigue in Integrated Circuits

15 Screening

15.1 Breakdown/Strength Distribution for Materials and Devices

15.2 Impact of Screening Stress on Breakdown Strength

15.2.1 Screening Using Exponential TF Model

15.2.2 Screening Using Power-Law TF Model

15.3 Screening Effectiveness

15.3.1 Screening Effectiveness Using Exponential TF Model

15.3.2 Screening Effectiveness Using Power-Law TF Model

16 Heat Generation and Dissipation

16.1 Device Self-Heating and Heat Transfer

16.1.1 Energy Conservation

16.1.2 General Heat Flow Equation

16.2 Steady-State Heat Dissipation

16.3 Effective Thermal Resistance

16.4 General Transient Heating and Heat Dissipation

16.4.1 Effective Thermal Resistance Revisited

16.4.2 Heat Capacity

16.5 Modeling Dynamical Heat Generation and Dissipation

16.5.1 Thermal Relaxation

16.5.2 Thermal Rise with Constant Input Power

16.5.3 Thermal Rise and Relaxation with Single Power Pulse

16.5.4 Thermal Rises and Relaxations with Periodic Power Pulses

16.6 Convection Heat Transfer

16.7 Radiation Heat Transfer

16.8 Entropy Changes Associated With Heat Transfer

References

17 Sampling Plans and Confidence Intervals

17.1 Poisson Distribution

17.1.1 Poisson Probability for Finding Defective Devices

17.1.2 Poisson Sample-Size Requirements

17.2 Binomial Distribution

17.2.1 Binomial Probability for Finding Defective Devices

17.2.2 Binomial Sample-Size Requirements

17.3 Chi-Square Distribution

17.3.1 Chi-Square Confidence Intervals

17.3.2 Chi-Square Distribution for Defect Sampling

17.4 Confidence Intervals for Characteristic Time-To-Failure and Dispersion Parameters

17.4.1 Normal Distribution Confidence Intervals

17.4.2 Lognormal Distribution Confidence Intervals

17.4.3 Weibull Distribution Confidence Intervals

17.4.4 Chi-Square Distribution Confidence Intervals Average Failure Rates

References

Appendix A: Useful Conversion Factors

Appendix B: Useful Physical Constants

Appendix C: Useful Rough Rules-Of-Thumb

Appendix D: Useful Mathematical Expressions

Appendix E: Useful Differentials and Definite Integrals

Appendix F: Free-Energy

Appendix G: t(1- /2, ) Distribution Values

Appendix H: 2(P, ) Distribution Values

Index
About J. W. McPherson
Dr. J.W. McPherson is at McPherson Reliability Consulting, LLC.

(BK-9783319001210)

SKU BK-9783319001210
Barcode # 9783319001210
Brand Springer
Artist / Author J. W. McPherson
Shipping Weight 0.7600kg
Shipping Width 0.160m
Shipping Height 0.030m
Shipping Length 0.240m
Assembled Length 24.100m
Assembled Height 2.800m
Assembled Width 16.000m
Type Hardcover

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