BOUNDARY-VALUE PROBLEMS OF APPLIED BENDING THEORY OF THIN ELECTROMAGNETOELASTICITY PLATES
The applied theory of bending of Kirchhoff thin plates is extended to the case of plates made of piezoelectric and piezomagnetic materials. At the same time, the conditions for the induction of electric and magnetic fields were added to the Kirchhoff hypotheses, the system of differential equilibrium equations was supplemented with the equations of forced electrostatics, boundary conditions for the solution of the complete system were formulated, instead of the equations of Hooke's law, the general equations of the electromagnetoelastic state were adopted. The solution of the problem is first given to the system of 3 partial differential equations for determining the functions of the deflection, potential densities, electric and magnetic field thickness. Boundary conditions for defining functions are obtained.