Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

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