Equilibrium equations for material uniform and inhomogeneous laminated shells

A mathematical model for elastic laminated shells with presteressed layers is proposed in the framework of Kirchhoff-Love theory. An equilibrium equations is derived in terms of displacements in arbitrary oblique curvelinear coordinates by means of direct (coordinateless) methods of the tensor calculus. The expressions for resultant stresses and couples are established. In the case when the surface of reduction is the middle surface of shell and the layers no prestressed the equilibrium equations are coinsides with known equations of static equilibrium elastic homogeneous shells. A represantation of solution in the form of spectral decomposition is obtained for a spherical laminated shells.