Shape-Memory Alloys Handbook
The aim of this book is to understand and describe the martensitic phase transformation and the process of martensite platelet reorientation. These two key elements enable the author to introduce the main features associated with the behavior of shape-memory alloys (SMAs), i.e. the one-way shape-mem...
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| Main Author | |
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| Format | eBook |
| Language | English |
| Published |
Newark
Wiley
2013
John Wiley & Sons, Incorporated ISTE Ltd and John Wiley & Sons, Inc |
| Edition | 1 |
| Series | Materials science series |
| Subjects | |
| Online Access | Get full text |
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| Abstract | The aim of this book is to understand and describe the martensitic phase transformation and the process of martensite platelet reorientation. These two key elements enable the author to introduce the main features associated with the behavior of shape-memory alloys (SMAs), i.e. the one-way shape-memory effect, pseudo-elasticity, training and recovery. Attention is paid in particular to the thermodynamical frame for solid materials modeling at the macroscopic scale and its applications, as well as to the particular use of such alloys – the simplified calculations for the bending of bars and their torsion. Other chapters are devoted to key topics such as the use of the "crystallographical theory of martensite" for SMA modeling, phenomenological and statistical investigations of SMAs, magneto-thermo-mechanical behavior of magnetic SMAs and the fracture mechanics of SMAs. Case studies are provided on the dimensioning of SMA elements offering the reader an additional useful framework on the subject. Contents 1. Some General Points about SMAs. 2. The World of Shape-memory Alloys. 3. Martensitic Transformation. 4. Thermodynamic Framework for the Modeling of Solid Materials. 5. Use of the "CTM" to Model SMAs. 6. Phenomenological and Statistical Approaches for SMAs. 7. Macroscopic Models with Internal Variables. 8. Design of SMA Elements: Case Studies. 9. Behavior of Magnetic SMAs. 10. Fracture Mechanics of SMAs. 11. General Conclusion. Appendix 1. Intrinsic Properties of Rotation Matrices. Appendix 2. "Twinning Equation" Demonstration. Appendix 3. Calculation of the Parameters a, n and Q from the "Twinning" Equation. Appendix 4. "Twinned" Austenite/Martensite Equation. About the Authors Christian Lexcellent is Emeritus Professor at the École National Supérieure de Mécanique et des Microtechniques de Besançon and a researcher in the Department of Applied Mechanics at FEMTO-ST in France. He is a specialist in the mechanics of materials and phase transition and has taught in the subjects of mechanics of continuum media and shape memory alloys. He is also a member of the International Committee of ESOMAT. |
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| AbstractList | The aim of this book is to understand and describe the martensitic phase transformation and the process of martensite platelet reorientation. These two key elements enable the author to introduce the main features associated with the behavior of shape-memory alloys (SMAs), i.e. the one-way shape-memory effect, pseudo-elasticity, training and recovery. Attention is paid in particular to the thermodynamical frame for solid materials modeling at the macroscopic scale and its applications, as well as to the particular use of such alloys - the simplified calculations for the bending of bars and their torsion. Other chapters are devoted to key topics such as the use of the "crystallographical theory of martensite" for SMA modeling, phenomenological and statistical investigations of SMAs, magneto-thermo-mechanical behavior of magnetic SMAs and the fracture mechanics of SMAs. Case studies are provided on the dimensioning of SMA elements offering the reader an additional useful framework on the subject. Contents 1. Some General Points about SMAs. 2. The World of Shape-memory Alloys. 3. Martensitic Transformation. 4. Thermodynamic Framework for the Modeling of Solid Materials. 5. Use of the "CTM" to Model SMAs. 6. Phenomenological and Statistical Approaches for SMAs. 7. Macroscopic Models with Internal Variables. 8. Design of SMA Elements: Case Studies. 9. Behavior of Magnetic SMAs. 10. Fracture Mechanics of SMAs. 11. General Conclusion. Appendix 1. Intrinsic Properties of Rotation Matrices. Appendix 2. "Twinning Equation" Demonstration. Appendix 3. Calculation of the Parameters a, n and Q from the "Twinning" Equation. Appendix 4. "Twinned" Austenite/Martensite Equation. About the Authors Christian Lexcellent is Emeritus Professor at the École National Supérieure de Mécanique et des Microtechniques de Besançon and a researcher in the Department of Applied Mechanics at FEMTO-ST in France. He is a specialist in the mechanics of materials and phase transition and has taught in the subjects of mechanics of continuum media and shape memory alloys. He is also a member of the International Committee of ESOMAT. |
| Author | Christian Lexcellent |
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| Snippet | The aim of this book is to understand and describe the martensitic phase transformation and the process of martensite platelet reorientation. These two key... |
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| SubjectTerms | Alloys Shape memory alloys |
| TableOfContents | Intro -- Contents -- Title Page -- Copyright -- Foreword -- Preface -- Chapter 1: Some General Points about SMAs -- 1.1. Introduction -- 1.2. Why are SMAs of interest for industry? -- 1.3. Crystallographic theory of martensitic transformation -- 1.4. Content of this book -- Chapter 2: The World of Shape-memory Alloys -- 2.1. Introduction and general points -- 2.2. Basic metallurgy of SMAs, by Michel Morin -- 2.3. Measurements of phase transformation temperatures -- 2.4. Self-accommodating martensite and stress-induced martensite -- 2.5. Fatigue resistance -- 2.6. Functional properties of SMAs -- 2.7. Use of NiTi for secondary batteries -- 2.8. Use of SMAs in the domain of civil engineering -- Chapter 3: Martensitic Transformation -- 3.1. Overview of continuum mechanics -- 3.2. Main notations for matrices -- 3.3. Additional notations and reminders -- 3.4. Kinematic description -- 3.5. Kinematic compatibility -- 3.6. Continuous theory of crystalline solids -- 3.7. Martensitic transformation -- 3.8. Equation governing the interface between two martensite variants Mi/Mj or the "twinning equation" -- 3.9. Origin of the microstructure -- 3.10. Special microstructures -- 3.11. From the scale of the crystalline lattice to the mesoscopic and then the macroscopic scale -- 3.12. Linear geometric theory -- 3.13. Chapter conclusion -- Chapter 4: Thermodynamic Framework for the Modeling -- 4.1. Introduction -- 4.2. Conservation laws -- 4.3. Constitutive laws -- Chapter 5: Use of the "CTM" to Model SMAs -- 5.1. Introduction -- 5.2. Process of reorientation of the martensite variants in a monocrystal -- 5.3. Process of creation of martensite variants in a monocrystal: pseudoelastic behavior -- 5.4. Prediction of the surfaces for the austenite → martensite phase transformation -- Chapter 6: Phenomenological and Statistical Approaches for SMAs -- 6.1. Introduction 6.2. Preisach models -- 6.3. First-order phase transitions and Falk's model -- 6.4. Constitutive framework of the homogenized energy model -- 6.5. Conclusion -- Chapter 7: Macroscopic Models with Internal Variables -- 7.1. Introduction -- 7.2. RL model -- 7.3. Anisothermal expansion [LEC 96] [LEX 06a] -- 7.4. Internal variable model inspired by micromechanics -- 7.5. Elastohysteresis model: formalism and digital implantation -- 7.6. Conclusion -- Chapter 8: Design of SMA Elements: Case Studies -- 8.1. Introduction -- 8.2. "Strength of materials"-type calculations for beams subject to flexion or torsion [REJ 99] -- 8.3. Elements of calculations for SMA actuators -- 8.4. Case studies -- Chapter 9: Behavior of Magnetic SMAs -- 9.1. Introduction -- 9.2. Some models of the thermo-magneto-mechanical behavior of MSMAs -- 9.3. Crystallography of Ni-Mn-Ga -- 9.4. Model of the magneto-thermo-mechanical behavior of a monocrystal of magnetic shape-memory alloy -- 9.5. Conclusion -- Chapter 10: Fracture Mechanics of SMAs -- 10.1. Introduction -- 10.2. The elastic stress field around a crack tip -- 10.3. Prediction of the phase transformation surfaces around the crack tip (no curvature at the crack tip) [LEX 11] -- 10.4. Prediction of the phase transformation surfaces around the crack tip (curvature ρ at the crack tip) -- 10.5. Some experimental results about fracture of SMAs -- 10.6. Problem of delamination between a SMA and an elastic solid [LAY 12] -- Chapter 11: General Conclusion -- 11.1. Resolved problems -- 11.2. Unresolved problems -- 11.3. Suggestions for future directions -- Appendix 1: Intrinsic Properties of Rotation Matrices (see Chapter 3) -- A1.1. Characterization of rotations -- Appendix 2: "Twinning Equation" Demonstration (see Chapter 3) -- A2.1. Question -- A2.2. Solution Appendix 3: Calculation of the Parameters a, n and Q from the "Twinning" Equation (see Chapter 3) -- A3.1. Problem -- A3.2. Statement -- A3.3. Solution -- Appendix 4: "Twinned" Austenite/Martensite Equation (see Chapter 3) -- A4.1. Proposition 1 -- A4.2. Proposition 2 -- A4.3. Theorem -- Bibliography -- Index |
| Title | Shape-Memory Alloys Handbook |
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