ABSTRACT
A complete system of equations in the theory of nonelectrical shells consists of the equilibrium equations, geometrical relations, and constitutive relations. This chapter constructs and discusses two-dimensional electroelasticity relations and electrostatic equations. If the shell has electrode-covered faces and the electrical potential is given, the problem can be broken into mechanical and electrical parts. The chapter discusses the theory of shells with thickness polarization by constructing appropriate hypotheses. Now that the author has the asymptotic formulas, it estimates the error of each hypothesis. The chosen asymptotic representation can be substantiated by physical reasons and by the fact that we can construct a noncontradictory system of differential equations within appropriate approximation. The chapter investigates shells with and without electrodes on the faces separately. It starts with shells with electrode-covered faces for which conditions are specified.
