An informal direct relationship among the equations of electrodynamics, electroelasticity (for all crystal systems), and magnetoelasticity (for the cubic crystal system) in the international (SI) and Gaussian (SG) systems of units is established for the first time in the scientific literature Keywords: international (SI) and Gaussian (SG) systems of units, equations of electrodynamics, equations of electroelasticity (for all crystal systems), equations of magnetoelasticity (for the cubic crystal system)
Introduction.To analyze the evolution in the state of solids with electrostrictive, piezoelectric, and magnetostrictive properties under mechanical or electric or magnetic loads, the equations of elasticity should be used in combination with the equations of electromagnetism. The two types of equations together with the corresponding constitutive equations can be simultaneously analyzed in various systems of units [3, 10-14, etc.], of which most popular are the international system (SI) and Gaussian system (SG), the latter being sometimes more suitable to describe electromagnetic fields.The present paper establishes, for the first time in the world's scientific literature, an informal direct relationship between the linearized equations of electrostriction (piezoelectricity) and the nonlinear equations of magnetostriction of cubic ferrites in the SI and SG systems. This has been made possible with the inverse-ratio rule proposed by the author and applied to the classical equations of electrodynamics, including Maxwell's equations [5][6][7][8][9].1. System of Equations of Linear Electroelasticity. The system of equations of linear electroelasticity for all crystal systems consists [10, 13, 14, etc.] of: