Adiabatic Shear Localization

Preface

Acknowledgements

List of Contributors

1. Introduction

1.1 Early Experiments on the Thermoplastic Effect

1.2 Fracture and Damage Related to Adiabatic Shear

1.3 Evolution of Adiabatic Shear Bands

1.4 Metal Shaping and Shear Bands

1.5 Examples of Adiabatic Shear Bands

1.6 The Essence of Localization

1.7 Summary

References

2. Experimental Methods

2.1 Introduction

2.2 Test Methods

2.3 Special Results for Steels

2.4 Conclusions

References

3. Nanostructural and Microstructural Aspects of Shear Localization at High-Strain Rates for Materials

3.1 Introduction

3.2 Modern Techniques for Microstructural Characterization

3.3 The Process of Shear Localization Evolution

3.4 Conditions Required for Shear-Band Formation

3.5 Deformed and Transformed Bands

3.6 α′-Martensite Transformation in Shear Bands

3.7 Effect of the Microstructures on the Tendency for Localized Shear Bands

3.8 Crystalline to Amorphous Transition Within Shear Bands

3.9 Static/Dynamic Recrystallization

3.10 Deformation and Microstructure Within the Bands

3.11 Spacing and Self-Organization of the Shear Bands [31, 125]

3.12 Effect of Dynamic Strain Aging

3.13 Shear Bands in Nanocrystalline Metals and Metallic Glasses

3.14 Summary

Acknowledgements

References

4. Analysis of Adiabatic Shear Bands by Numerical Methods

4.1 Introduction

4.2 Brief Overview of the FEM

4.3 Analysis of 1D Shear Band Problems

4.4 Adaptive Mesh Refinement for 2D Problems

4.5 ASBs and Cracks in Microporous Thermo-Viscoplastic Solids

4.6 Concluding Remarks

References

5. Theory of Adiabatic Shear Bands

5.1 Introduction

5.2 Theoretical Setting and Mathematical Preliminaries

5.3 Timing of Stress Collapse or Critical Strain

5.4 Structure of a Shear Band and Width

5.5 Spacing of Shear Bands

5.6 Structure and Speed of a Propagating Shear Band

5.7 Energy Rates and Dissipation

5.8 Discussion and Conclusions

References

6. Adiabatic Shear Bands in Penetrators and Targets

6.1 Adiabatic Shear Bands in Penetrators

6.2 Adiabatic Shear Bands in Targets

References

7. Strain Localization in Energetic and Inert Granular Materials

7.1 Granular Materials

7.2 Localization of Deformation in Explosives

7.3 Shear Localization Due to Shock Loading of Reactive Powders

7.4 Modern Methods of Study

7.5 Summary

Acknowledgements

References

8. Shear Banding in Bulk Metallic Glasses

8.1 Introduction

8.2 Development and Structure of BMGs

8.3 General Features of Deformation

8.4 Physical Origin of Shear-Banding Instability

8.5 The Shear-Band Evolution Process

8.6 Shear Bands and Global Ductility

8.7 Prospects and Summary

Acknowledgements

References

9. Adiabatic Shear Bands in Polymers

9.1 Introduction

9.2 Experimentally Measured Temperature Rises and Plastic Work Conversion

9.3 Adiabatic Shear Band Observations in Polymers

9.4 Modelling of Polymer Behaviour

9.5 Mechanism of Adiabatic Shear

9.6 Conclusion

References

10. Shear Localization in Deep Geological Layers During Seismic Slip

10.1 Introduction

10.2 Position of the Problem and Governing Equations

10.3 Stability of Analysis of Undrained Adiabatic Shearing of a Rock Layer

10.4 Wavelength Selection and Thickness of the Shear Band

10.5 Effect of Chemical Couplings During Rapid Fault Shearing

10.6 Conclusion

Acknowledgements

References

Bibliography