Establishment of the 2D tensors

For more info about our services contact : help@bestpfe.com

Table of contents

General introduction
Chapter 1. General context – State of Art
1.1 Magnetoelectric effect and materials
1.1.1 Single-phase ME materials
1.1.2 Two-phase ME composite materials
1.1.2.1 Bulk 0-3 composites
1.1.2.2 Laminated 2-2 composites
1.1.2.3 Rod matrix 1-3 type composites
1.2 Magneto-mechanical effect and material
1.2.1 Magneto-mechanical coupling
1.2.2 Magnetostrictive material
1.3 Electro-mechanical effect and materials
1.3.1 Electro-mechanical coupling
1.3.2 Piezoelectric material
1.4 Magnetoelectric effect applications
1.4.1 Magnetic field sensors
1.4.1.1 Static magnetic field sensor
1.4.1.2 Dynamic magnetic field sensor
1.4.2 Energy harvesting applications
1.5 Modelling and Characterizations of magnetoelectric materials and devices
1.5.1 Theoretical modelling methods
1.5.2 Experimental Characterization
1.6 Conclusion
Chapter 2. Analytical and Numerical Modelling of Magnetoelectric Composites
2.1 Introduction
2.2 Electromagnetic and mechanical governing equations and constitutive laws .
2.3 Analytical methods
2.3.1 Simplified analytical method in static regime
2.3.2 Equivalent circuit method
2.4 FEM modelling of the field problem in 2D
2.4.1 Establishment of the 2D tensors
2.4.2 FEM formulation
2.4.2.1 Fundamental formulations
2.4.2.2 Boundary conditions
2.4.2.3 FEM Simulation results
2.4.3 Nonlinear static case
2.4.3.1 Modelling of nonlinear piezomagnetic coupling
2.4.3.1.1 Hirsinger model
2.4.3.2 Modelling of magnetic nonlinearity
2.4.4 Dynamic small signal regime
2.4.4.1.Coupling with the electric circuit load equation
2.4.4.2 Effect of the complex impedance on the damping losses
2.4.4.3 Simulation results
2.5 Conclusion
Chapter 3. Assessment of ME composite performances
3.1 Introduction
3.2 Performances of a ME composite as energy transducer
3.2.1 Output deliverable power under different modes
3.2.2 Electrical equivalent circuit model
3.2.3 Establishment of the optimal electrical load
3.2.4 Transient dynamic response with a non-linear electrical load
3.3 Multilayer ME composite materials
3.3.1 Multilayer ME composite problems description and FEM modelling
3.3.2 Equivalent circuit method for multilayer ME composite problems
3.3.3 Results and comparisons
3.4 Conclusion
Chapter 4. Prospective application of ME composites as energy transducer
4.1 Introduction
4.2 Potential application in biomedical domain
4.2.1 Ferrite solenoid as external reader
4.2.2 Exposition limits of the magnetic field
4.3 Measurement of a bilayer ME composite
4.3.1 Measurement bench set-up
4.3.2 Static and dynamic measure responses
4.3.3 Deliverable output power
4.4 Conclusion
General conclusion
Appendix A. Characteristics of utilized materials
Appendix B. Different magnetostrictive nonlinear models
Appendix C. Modified Newton-Raphson method
Appendix D. Multilayer analytical modelling
References