ABSTRACT
Three-dimensional constitutive relations (piezoeffect equations), strain-displacement formulas, and electrostatic equations should also be transformed so that the sought-for quantities—i.e., the vector components of the induction, electric field strength, stresses, strains, and displacements—were referred to the middle surface of the shell. In the theory of nonelectric shells of the Kirchhoff-Love type, some physically obvious assumptions on the dependence of the displacements and stresses on the thickness coordinate and on the smallness of some stresses relative to other stresses are the usual practice. In this chapter, the author assumes that, of all mechanical conditions, only stresses are given on the faces of a piezoelectric shell. She shows that the type of two-dimensional theory depends on the kind of electrical conditions on the shell faces and that the electroelastic shell theories for every kind of electrical conditions on the surfaces are constructed separately.
