| Description |
xxvii, 501 pages : illustrations ; 26 cm |
| Series |
Frontiers in applied mathematics ; 32 |
|
Frontiers in applied mathematics ; 32
|
| Contents |
1. Smart Material Applications -- 1.1. Smart Material Systems -- 1.2. Piezoelectric and Electrostrictive Applications -- 1.3. Magnetostrictive Transducers -- 1.4. Shape Memory Alloys -- 1.5. Piezoelectric, Electrostrictive and Ionic Polymers -- 1.6. Electrorheological and Magnetorheological Compounds -- 1.7. Sensor Technologies, Fiber Optics -- 2. Model Development for Ferroelectric Compounds -- 2.1. Physical Properties of Ferroelectric Materials -- 2.2. Linear Piezoelectric Models -- 2.3. Higher-Order Energy Relations -- 2.4. Preisach Hysteresis Models -- 2.5. Domain Wall Model -- 2.6. Homogenized Energy Model -- 2.7. Ginzburg-Landau Relations -- 2.8. Work in the Polarization Process -- 3. Model Development for Relaxor Ferroelectric Compounds -- 3.1. Physical Properties of Relaxor Compounds -- 3.2. Temperature-Dependent Equilibrium Model -- 3.3. Temperature-Dependent Domain Wall Model -- 3.4. Temperature-Dependent Homogenized Energy Model -- 4. Model Development for Ferromagnetic Compounds -- 4.1. Physical Properties of Ferromagnetic Materials -- 4.2. Fundamental Energy Relations -- 4.3. Linear Models -- 4.4. Higher-Order Energy Models -- 4.5. Preisach Models -- 4.6. Jiles-Atherton Model -- 4.7. Homogenized Energy Model -- 5. Model Development for Shape Memory Alloys -- 5.1. Physical Properties of Shape Memory Alloys -- 5.2. Energy Relations -- 5.3. Preisach Models -- 5.4. Domain Wall Models -- 5.5. Homogenized Energy Framework -- 6. Unified Modeling Frameworks for Ferroic Compounds -- 6.1. Physical Properties -- 6.2. Preisach representations -- 6.3. Domain Wall Theory -- 6.4. Homogenized Energy Framework -- 7. Rod, Beam, Plate and Shell Models -- 7.1. Linear and Nonlinear Constitutive Relations -- 7.2. Linear Structural Assumptions -- 7.3. Rod Models -- 7.4. Beam Models -- 7.5. Plate Models -- 7.6. Shell Models: General Development -- 7.7. Shell Models: Special Cases -- 7.8. Timoshenko, Mindlin-Reissner, and von Kdrman Models -- 7.9. THUNDER Models -- 7.10. Abstract Model Formulation -- 8. Numerical Techniques -- 8.1. Quadrature Techniques -- 8.2. Numerical Approximation of the Rod Model -- 8.3. Numerical Approximation of the Beam Model -- 8.4. Numerical Approximation of the Plate Model -- 8.5. Numerical Approximation of the Shell Model |
| Bibliography |
Includes bibliographical references (pages 449-487) and index |
| Subject |
Smart materials -- Mathematical models.
|
|
Smart structures -- Mathematical models.
|
| Author |
Society for Industrial and Applied Mathematics.
|
| LC no. |
2005920039 |
| ISBN |
0898715830 |
|
