Electrodynamics of Continua

(Volume I).- 1 Kinematics of Material Continua.- 1.1. Scope of the Chapter.- 1.2. Mass and Charge.- 1.3. Motion and Deformation.- 1.4. Strain Measures.- 1.5. Polar Decomposition.- 1.6. Infinitesimal Strains.- 1.7. Volume and Area Changes.- 1.8. Compatibility Conditions.- 1.9. Deformation Rates.- 1.10. Rigid Body Motion.- 1.11. Objectivity.- 1.12. Objective Time Rates of Tensor Fields.- 1.13. Kinematics of Line, Surface, and Volume Integrals.- Problems.- 2 Microscopic Electromagnetic Theory.- 2.1. Scope of the Chapter.- 2.2. Electric Charge.- 2.3. Electric Moments.- 2.4. Current, Magnetic Moments.- 2.5. Microscopic Electromagnetic Fields.- 2.6. Electromagnetic Force on a Point Particle.- 2.7. Microscopic Maxwell's Equations.- 2.8. Electromagnetic Force on Composite Particles.- 2.9. Couple Acting on a Composite Particle.- 2.10. Power of Electromagnetic Forces.- Problems.- 3 Macroscopic Electromagnetic Theory.- 3.1. Scope of the Chapter.- 3.2. Statistical Averages.- 3.3. Maxwell's Equations.- 3.4. Galilean Invariance of Maxwell's Equations.- 3.5. Macroscopic Densities of Mass, Force, Couple, and Power.- A. Mass Density.- B. Force Density.- C. Couple Density.- D. Electromagnetic Power.- 3.6. Electromagnetic Stress Tensor, Momentum, and Poynting Vector.- 3.7. Electromagnetic Force, Couple, and Power at a Discontinuity Surface.- 3.8. Balance Laws of Continuum Physics.- 3.9. Balance Laws of Electrodynamics.- A. Global Statement.- B. Local Balance Laws.- C. Boundary Conditions.- 3.10. Thermomechanical Balance Laws.- 3.11. Clausius-Duhem Inequality.- 3.12. Invariance Requirements for Balance Laws.- 3.13. Principle of Virtual Power.- 3.14. Resume of Balance Laws.- Problems.- 4 Elementary Properties of Electromagnetic Continua.- 4.1. Scope of the Chapter.- 4.2. Dielectric Materials.- 4.3. Physical Theory of Dielectrics.- A. Polarizability.- B. The Clausius-Mossoti Equation.- C. Ferroelectric Crystals.- D. Electrostriction and Piezoelectricity.- E. Pyroelectricity.- 4.4. Magnetic Materials.- A. The Origin of Magnetism.- B. Gyromagnetic Effects.- 4.5. Different Types of Magnetism.- A. Paramagnetism.- B. Ferromagnetism.- C. Ferrimagnetism and Antiferromagnetism.- D. Magnons.- E. Magnetostriction and Piezomagnetism.- 4.6. Electric Conduction.- A. Electron Conduction.- B. Cross Effects.- 4.7. Interaction Between Light and Electromagnetic Continua.- A. Electromagnetic Optics.- B. Inducement of Optical Anisotropy.- Problems.- 5 Constitutive Equations.- 5.1. Scope of the Chapter.- 5.2. Resume of Balance Laws.- 5.3. Raison d'Etre.- 5.4. Axioms of Constitutive Theory.- A. Axiom of Causality.- B. Axiom of Determinism.- C. Axiom of Equipresence.- D. Axiom of Objectivity.- E. Axiom of Time Reversal.- F. Axiom of Material Invariance.- G. Axiom of Neighborhood.- H. Axiom of Memory.- I. Axiom of Admissibility.- 5.5. Integrity Basis Under Crystallographic Point Groups.- 5.6. Integrity Basis Under Magnetic Point Groups.- 5.7. Integrity Basis of Vectors and Tensors for Isotropic Materials.- 5.8. Constitutive Equations of Electromagnetic Elastic Solids.- 5.9. Isotropic Electromagnetic Elastic Solids.- 5.10. Anisotropic Electromagnetic Elastic Solids.- 5.11. Linear Constitutive Equations.- 5.12. Electromagnetic Fluids.- 5.13. Resume of Constitutive Equations.- Problems.- 6 Rigid Dielectrics.- 6.1. Scope of the Chapter.- 6.2. Fundamental Equations.- 6.3. Potential Theory.- A. Green's Theorem.- B. Uniqueness Theorem.- C. Representation Theorem.- D. Green's Function.- E. Green's Function for Dirichlet's Problem in Spherical Regions and in Half-Space.- F. Eigenfunction Expansions.- 6.4. Charged Cylinder.- 6.5. Potential in Half-Plane.- 6.6. Charged Disk.- 6.7. Plane Electromagnetic Waves in Isotropic Bodies.- 6.8. Spherical Waves.- 6.9. Nonlinear Theory of Rigid Dielectrics.- 6.10. One-Dimensional Problem.- 6.11. Two-Dimensional Nonlinear Problem.- 6.12. Solutions of Two-Dimensional Problems for Special Dielectrics.- 6.13. Nonlinear Electromagnetic Waves.- 6.14. Electromagnetic Shock Waves in Rigid Stationary Dielectrics.- 6.15. Moving Rigid Dielectrics.- A. Dragging of Light by a Moving Dielectric.- B. The Rotation of a Rigid Dielectric in a Magnetic Field.- C. Unipolar Induction.- 6.16. Nonlinear Optics.- 6.17. Solitary Waves.- Problems.- 7 Elastic Dielectrics.- 7.1. Scope of the Chapter.- 7.2. Resumes Equations.- 2.8. Electromagnetic Force on Composite Particles.- 2.9. Couple Acting on a Composite Particle.- 2.10. Power of Electromagnetic Forces.- Problems.- 3 Macroscopic Electromagnetic Theory.- 3.1. Scope of the Chapter.- 3.2. Statistical Averages.- 3.3. Maxwell's Equations.- 3.4. Galilean Invariance of Maxwell's Equations.- 3.5. Macroscopic Densities of Mass, Force, Couple, and Power.- A. Mass Density.- B. Force Density.- C. Couple Density.- D. Electromagnetic Power.- 3.6. Electromagnetic Stress Tensor, Momentum, and Poynting Vector.- 3.7. Electromagnetic Force, Couple, and Power at a Discontinuity Surface.- 3.8. Balance Laws of Continuum Physics.- 3.9. Balance Laws of Electrodynamics.- A. Global Statement.- B. Local Balance Laws.- C. Boundary Conditions.- 3.10. Thermomechanical Balance Laws.- 3.11. Clausius-Duhem Inequality.- 3.12. Invariance Requirements for Balance Laws.- 3.13. Principle of Virtual Power.- 3.14. Resume of Balance Laws.- Problems.- 4 Elementary Properties of Electromagnetic Continua.- 4.1. Scope of the Chapter.- 4.2. Dielectric Materials.- 4.3. Physical Theory of Dielectrics.- A. Polarizability.- B. The Clausius-Mossoti Equation.- C. Ferroelectric Crystals.- D. Electrostriction and Piezoelectricity.- E. Pyroelectricity.- 4.4. Magnetic Materials.- A. The Origin of Magnetism.- B. Gyromagnetic Effects.- 4.5. Different Types of Magnetism.- A. Paramagnetism.- B. Ferromagnetism.- C. Ferrimagnetism and Antiferromagnetism.- D. Magnons.- E. Magnetostriction and Piezomagnetism.- 4.6. Electric Conduction.- A. Electron Conduction.- B. Cross Effects.- 4.7. Interaction Between Light and Electromagnetic Continua.- A. Electromagnetic Optics.- B. Inducement of Optical Anisotropy.- Problems.- 5 Constitutive Equations.- 5.1. Scope of the Chapter.- 5.2. Resume of Balance Laws.- 5.3. Raison d'Etre.- 5.4. Axioms of Constitutive Theory.- A. Axiom of Causality.- B. Axiom of Determinism.- C. Axiom of Equipresence.- D. Axiom of Objectivity.- E. Axiom of Time Reversal.- F. Axiom of Material Invariance.- G. Axiom of Neighborhood.- H. Axiom of Memory.- I. Axiom of Admissibility.- 5.5. Integrity Basis Under Crystallographic Point Groups.- 5.6. Integrity Basis Under Magnetic Point Groups.- 5.7. Integrity Basis of Vectors and Tensors for Isotropic Materials.- 5.8. Constitutive Equations of Electromagnetic Elastic Solids.- 5.9. Isotropic Electromagnetic Elastic Solids.- 5.10. Anisotropic Electromagnetic Elastic Solids.- 5.11. Linear Constitutive Equations.- 5.12. Electromagnetic Fluids.- 5.13. Resume of Constitutive Equations.- Problems.- 6 Rigid Dielectrics.- 6.1. Scope of the Chapter.- 6.2. Fundamental Equations.- 6.3. Potential Theory.- A. Green's Theorem.- B. Uniqueness Theorem.- C. Representation Theorem.- D. Green's Function.- E. Green's Function for Dirichlet's Problem in Spherical Regions and in Half-Space.- F. Eigenfunction Expansions.- 6.4. Charged Cylinder.- 6.5. Potential in Half-Plane.- 6.6. Charged Disk.- 6.7. Plane Electromagnetic Waves in Isotropic Bodies.- 6.8. Spherical Waves.- 6.9. Nonlinear Theory of Rigid Dielectrics.- 6.10. One-Dimensional Problem.- 6.11. Two-Dimensional Nonlinear Problem.- 6.12. Solutions of Two-Dimensional Problems for Special Dielectrics.- 6.13. Nonlinear Electromagnetic Waves.- 6.14. Electromagnetic Shock Waves in Rigid Stationary Dielectrics.- 6.15. Moving Rigid Dielectrics.- A. Dragging of Light by a Moving Dielectric.- B. The Rotation of a Rigid Dielectric in a Magnetic Field.- C. Unipolar Induction.- 6.16. Nonlinear Optics.- 6.17. Solitary Waves.- Problems.- 7 Elastic Dielectrics.- 7.1. Scope of the Chapter.- 7.2. Resume of Basic Equations..- 7.3. Uniqueness Theorem.- 7.4. Piezoelectric Moduli.- 7.5. Piezoelectrically Excited Thickness Vibrations of Plates.- 7.6. Extensional Vibrations of Piezoelectric Rods.- 7.7. Surface Waves.- 7.8. Radially Symmetric Vibrations.- 7.9. Spherically Symmetric Vibrations of Thin Ceramic Shells.- 7.10. Piezoelectrically Generated Electric Field.- 7.11. Elastic Dielectrics Subject to Finite Deformations and Fields.- 7.12. Cylindrically Symmetric Deformation of a Tube Subject to a Radial Field.- 7.13. Axisymmetric Oscillations of a Tube.- 7.14. Small Deformations and Fields Superimposed on Large Static Deformations and Fields.- 7.15. Photoelastic Effect.- 7.16. Electro-Optical Effect.- 7.17. Magneto-Optical Effects.- 7.18. Elastic Ionic Crystals, Ferroelectrics, and Other Polarizable Solids.- Problems.- 8 Magnetoelasticity.- 8.1. Scope of the Chapter.- 8.2. Resume of Basic Equations.- 8.3. Static Magnetoelastic Fields.- 8.4. Uniformly Magnetized Sphere in Nonpermeable Medium.- 8.5. Two-Dimensional Magnetoelasticity.- 8.6. Stress Concentration at a Circular Hole.- 8.7. Radial Motions of a Cylinder Under an Axial Magnetic Field.- 8.8. Propagation of Plane Waves.- 8.9. Waves Induced by a Thermal Shock.- 8.10. Homogeneous Strain in a Magnet.- 8.11. Simple Shear.- 8.12. Torsion of a Cylindrical Magnet.- 8.13. Electric Conduction in a Twisted Cylinder.- 8.14. Theory of Magnetoelastic Plates.- 8.15. Plate under Transverse Magnetic Field.- 8.16. Magnetoelastic Buckling of a Circular Plate.- 8.17. Other Works: Dynamic Buckling and Nonlinear Waves.- Problems.- Appendices.- A. Crystallographic Point Groups.- B. Crystallographic Magnetic Groups.- C. Integrity Bases of Crystallographic Groups.- D. Some Theorems on Symmetric Polynomial Functions.- E. Representations of Isotropic, Scalar, Vector, and Tensor Functions.- F. Maxwell's Equations in Various Systems of Units.- References.