This paper addresses the static analysis of multilayer shells with embedded
piezoelectric materials. The Reissner Mixed Variational Theorem is used to obtain
transverse electromechanical variables (transverse shear and normal stresses, plus
normal electrical displacement) which are
a priori continuous at each layer-interface.
The governing differential equations of doubly curved shells are derived by referring
to the Unified Formulation in terms of a few fundamental nuclei. Formulation with
discord interface continuity of transverse stresses and/or electrical displacements are
discussed for comparison purpose. We address both equivalent single-layer
models and layerwise models; up to fourth-order expansions in the thickness
coordinate have been implemented. Numerical analysis has been restricted to
closed-form solutions. Plates and simply supported cylindrical shells with
orthotropic layers have been investigated. Both sensor and actuator configuration
have been analyzed. The results obtained demonstrate the superiority of the
proposed approach with respect to the other formulations considered, and
its ability to furnish
a priori interlaminar continuous transverse electrical
displacement.
