Magnetoelastic Interactions

Paperback (Softcover reprint of the original 1st ed. 1966)
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Product Details

  • ISBN-13: 9783642873980
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/30/2013
  • Series: Springer Tracts in Natural Philosophy Series, #9
  • Edition description: Softcover reprint of the original 1st ed. 1966
  • Edition number: 1
  • Pages: 156
  • Product dimensions: 5.00 (w) x 8.00 (h) x 0.50 (d)

Table of Contents

I Fundamental Concepts and Definitions.- 1. Introduction.- 1.1. Statement of the problem.- 1.2. The conventional theory of magnetostriction.- 1.3. The rigorous formal theory.- 1.4. The aim of this treatment.- 1.5. Units and notation.- 2. Magnetostatic Fundamentals.- 2.1. Methods of approach; poles and currents.- 2.2. Current-current forces.- 2.3. Magnetized bodies.- 2.4. The field vectors B and H.- 2.5. The force and torque on a complete body.- 2.6. Energy relations for a rigid magnetic body.- 2.7. Ferromagnetic materials.- 3. Concepts of Elasticity Theory.- 3.1. The analysis of stress.- 3.2. Finite strains.- 3.3. Energy and stress-strain relations.- 3.4. Infinitesimal strains.- 4. Thermodynamic Principles.- 4.1. Introductory remarks.- 4.2. The first and second laws.- 4.3. Equilibrium and stability conditions.- 4.4. Application to rigid magnetic bodies.- 4.5. Application to elastic nonmagnetic bodies.- II Force and Stress Relations in a Deformable Magnetic Material.- 5. The Forces in General.- 5.1. Prolog.- 5.2. Sketch of the procedure.- 5.3. The forces on a whole body.- 5.4. The long-range force on part of a body.- 5.5. The stresses.- 5.6. Alternative definitions of the “stresses”.- 6. Equilibrium in a Magnetizable Elastic Solid.- 6.1. Energy relations.- 6.2. The rate of change of the magnetic self-energy.- 6.3. Relations of magnetizing force and stress to magnetization and deformation.- III The Energy Method.- 7. Formal Theory.- 7.1. The minimization principle.- 7.2. The magnetic equilibrium conditions.- 7.3. The mechanical equilibrium conditions.- 7.4. Disembodied fields.- 7.5. Invariance to rotation.- 7.6. Comparison with the stress method.- 7.7. The asymmetry of the stresses.- 7.8. Dynamic modifications.- 7.9. Permissible equilibrium specifications of applied forces.- 8. Terms in the Free Energy.- 8.1. Relevance of microscopic concepts.- 8.2. The exchange energy.- 8.3. The anisotropy, magnetostrictive, and elastic energies.- 8.4. A microscopic model for magnetostriction.- 8.5. The magnetic self-energy.- 9. The Small-Displacement Approximation.- 9.1. A first-order approximation.- 9.2. A more drastic approximation.- 9.3. Verification by a variational method.- 9.4. Comparison with conventional magnetostriction theory.- 9.5. Uniqueness of the strains.- IV Applications.- 10. The Magnetostriction of a Uniformly Magnetized Ellipsoid.- 10.1. Finite-strain formulas.- 10.2. The small-displacement approximation.- 10.3. The average strains.- 10.4. The strains in a sphere.- 11. Problems of Micromagnetics.- 11.1. The distribution problem in general.- 11.2. Cubic crystals.- 11.3. Linear approximations.- 11.4. The nucleation-field problem.- Appendix A.- The Variation of the Magnetic Self-Energy.- Appendix B.- Proof of the Magnetic Reciprocity Theorem (11.32).- Appendix C.- On Angular Velocity.- References.- Author Index.
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