Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

Inhaltsverzeichnis

• 1 Electromagnetic Theory.
• 1.1. Deformation and Motion.
• 1.2. Balance Laws (in V — ?).
• 1.3. Jump Conditions (on ?).
• 1.4. Constitutive Equations of Electromagnetic Elastic Solids.
• 1.5. Constitutive Equations of Electromagnetic Fluids.
• 2 Conventional Crystallographic Point Groups.
• 3 Crystallographic Magnetic Point Groups.
• 4 Decomposition of Mechanical and Electromagnetic Quantities.
• 4.1. Material Tensors and Physical Tensors.
• 4.2. Transformation Properties of Tensors.
• 4.3. Decomposition of Electromechanical Quantities.
• 4.4. Basic Quantities of Electromechanical Tensors.
• 5 Material Symmetry Restrictions.
• 6 Linear Constitutive Equations.
• 6.1. Higher-Order Effects.
• 6.2. The Number of Independent Components.
• 6.3. An Alternative Procedure for Finding Independent Components.
• 7 Nonlinear Constitutive Equations for Electromagnetic Crystalline Solids.
• 7.1. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 1} $$ = {I, ? C}.
• 7.2. Magnetic Crystal Class m = {I, ? R3}.
• 7.3. Magnetic Crystal Class 2 = {I, ? D3}.
• 7.4. Magnetic Crystal Class 2/m = {I, ? D3, R3, ? C}.
• 7.5. Magnetic Crystal Class 2/m = {I, D3, ? R3, ? C}.
• 7.6. Magnetic Crystal Class 2/m = {I, ? D3, ? R3, C}.
• 7.7. Magnetic Crystal Class 2mm = {I, ? D3, ? R1, R2}.
• 7.8. Magnetic Crystal Class 2mm = {I, D3, ? R1,? R2}.
• 7.9. Magnetic Crystal Class 222 = {I, ? D1, ? D2, D3}.
• 7.10. Magnetic Crystal Class mmm.
• 7.11. Magnetic Crystal Class mmm.
• 7.12. Magnetic Crystal Class mmm.
• 7.13. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 4} $$ = {I, D3, ? D1T3, ? D2T3}.
• 7.14. Magnetic Crystal Class 4 = {I, D3, ? R1T3, ? R2T3}.
• 7.15. Magnetic Crystal Class 4/m.
• 7.16. Magnetic Crystal Class 4/m.
• 7.17. Magnetic Crystal Class4/m.
• 7.18. Magnetic Crystal Class 4mm.
• 7.19. Magnetic Crystal Class 4mm.
• 7.20. Magnetic Crystal Class 422.
• 7.21. Magnetic Crystal Class 422.
• 7.22. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 4} $$2m.
• 7.23. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 4} $$2m.
• 7.24. Magnetic Crystal Class $$ \bar 4$$2m.
• 7.25. Magnetic Crystal Class 4/mmm.
• 7.26. Magnetic Crystal Class 4/mmm.
• 7.27. Magnetic Crystal Class 4/mmm.
• 7.28. Magnetic Crystal Class 4/mmm.
• 7.29. Magnetic Crystal Class 4/mmm.
• 7.30. Magnetic Crystal Class 3m = {I1, S1, S2, ? R1, ? R1S1, ? R1S2}.
• 7.31. Magnetic Crystal Class 32 = {I, S1, S2, ? D1, ? D1S1, ? D1S2}.
• 7.32. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 3} $$ = {I, S1, S2, ? C,? CS1, ? CS2}.
• 7.33. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 6} $$ = {I, S1, S2, ? R3, ? R3S1, ? R3S2}.
• 7.34. Magnetic Crystal Class 6 = {I, S1, S2, ? D3, ? D3S1, ? D3S2}.
• 7.35. Magnetic Crystal Class $$ \bar 6$$m2.
• 7.36. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 6} $$m2.
• 7.37. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 6} $$m2.
• 7.38. Magnetic Crystal Class $$ \bar 3$$m.
• 7.39. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 3} $$m.
• 7.40. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 3} $$m.
• 7.41. Magnetic Crystal Class 622.
• 7.42. Magnetic Crystal Class 622.
• 7.43. Magnetic Crystal Class 6mm.
• 7.44. Magnetic Crystal Class 6mm.
• 7.45. Magnetic Crystal Class 6/m.
• 7.46. Magnetic Crystal Class 6/m.
• 7.47. Magnetic Crystal Class 6/m.
• 7.48. Magnetic Crystal Class 6/mmm.
• 7.49. Magnetic Crystal Class 6/mmm.
• 7.50. Magnetic Crystal Class 6/mmm.
• 7.51. Magnetic Crystal Class 6/mmm.
• 7.52. Magnetic Crystal Class 6/mmm.
• 7.53. Magnetic Crystal Class m3.
• 7.54. Magnetic Crystal Class $$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\bar 4} $$3m.
• 7.55. Magnetic Crystal Class 432.
• 7.56. Magnetic Crystal Class m3m.
• 7.57. Magnetic Crystal Class m3m.
• 7.58. Magnetic Crystal Class m3m.
• 7.59. Composite Symbols of Chapter 7.
• 8 Applications.
• Appendices.
• A. Review of Group Theory and Representation.
• B. Integrity Bases of Crystallographic Groups.
• C. Magnetic Point Symmetry of Certain Materials.
• D. Basic Quantities for Second- and Third-Order Tensors.
• References.