Table of Contents

Chapter 1. Introduction.

1.1 Strain

1.2 Stress.

1.3 Mechanical Testing.

1.4 Mechanical Responses to Deformation.

1.5 How Bonding Influences Mechanical Properties.

1.6 Further Reading and References.

1.7 Problems.

Chapter 2. Tensors and Elasticity.

2.1 What Is a Tensor?

2.2 Transformation of Tensors.

2.3 The Second-Rank Tensors of Strain and Stress.

2.4 Directional Properties.

2.5 Elasticity.

2.6 Effective Properties of Materials: Oriented Polycrystals and Composites.

2.7 Matrix Methods for Elasticity Tensors.

2.8 Appendix: The Stereographic Projection.

2.9 References.

2.10 Problems.

Chapter 3. Plasticity.

3.1 Continuum Models for Shear Deformation of Isotropic Ductile Materials.

3.2 Shear Deformation of Crystalline Materials.

3.3 Necking and Instability.

3.4 Shear Deformation of Non-Crystalline materials.

3.5 Dilatant Deformation of Materials.

3.6 Appendix: Independent Slip Systems.

3.7 References.

3.8 Problems.

Chapter 4. Dislocations in Crystals.

4.1 Dislocation Theory.

4.2 Specification of Dislocation Character.

4.3 Dislocation Motion.

4.4 Dislocation Content in Crystals and Polycrystals.

4.5 Dislocations and Dislocation Motion in Specific Crystal Structures.

4.6 References.

4.7 Problems.

Chapter 5. Strengthening Mechanisms.

5.1 "Constraint" -Based Strengthening.

5.2 Strengthening Mechanisms in Crystalline Materials.

5.3 Orientation Strengthening.

5.4 References.

5.5 Problems.

Chapter 6. High Temperature and Rate Dependent Deformation.

6.1 Creep.

6.2 Extrapolation Approaches for Failure and Creep.

6.3 Stress Relaxation.

6.4 Creep and Relaxation Mechanisms in Crystalline Materials.

6.5 References.

6.6 Problems.

Chapter 7. Fracture of Materials.

7.1 Stress Distributions Near Crack Tips.

7.2 Fracture Toughness Testing.

7.3 Failure Probability and Weibull Statistics.

7.4 Mechanisms for Toughness Enhancement of Brittle Materials.

7.5 Appendix A: Derivation of the Stress Concentration at a Through-Hole.

7.6 Appendix B: Stress-Volume Integral Approach for Weibull Statistics.

7.7 References.

7.8 Problems.

Chapter 8. Mapping Strategies for Understanding Mechanical Properties.

8.1 Deformation Mechanism Maps.

8.2 Fracture Mechanism Maps.

8.3 Mechanical Design Maps.

8.4 References.

8.5 Problems.

Chapter 9. Degradation Processes: Fatigue and Wear.

9.1 Cystic Fatigue of materials.

9.2 Engineering Fatigue Analysis.

9.3 Wear, Friction, and Lubrication.

9.4 References.

9.5 Problems.

Chapter 10. Deformation Processing.

10.1 Ideal Energy Approach for Modeling of a Forming Process.

10.2 Inclusion of Friction and Die Geometry in Deformation Processes: Slab Analysis.

10.3 Upper Bound Analysis.

10.4 Slip Line Field Analysis.

10.5 Formation of Aluminum Beverage Cans: Deep Drawing, Ironing, and Shaping.

10.6 Forming and Rheology of Glasses and Polymers.

10.7 Tape Casting of Ceramic Slurries.

10.8 References.

10.9 Problems.

Index.

About the Author

Keith Bowman is the author of Mechanical Behavior of Materials, published by Wiley.