Cylindrical Bending of Composite Plates with Piezoelectric and SMA Layers

摘要

A laminated plate with orthotropic piezoelectric layers undergoing cylindricalbending under die application of electromechanical loading is considered in this work. A known elasticity solution is extended to die coupled electroelastic field case by introducing, in addition to an Airy stress function, the electric potential for every layer. The accuracy of die classical composite plate theory as applied to laminates with piezoelectric layer is investigated, by comparing die solution of the classical plate theory to the present exact coupled field electroelastic solution, and die validity of die way electric boundary conditions are applied in classical beam or plate theories is discussed. The electroelastic solution is applied to die non-linear case of a hybrid composite plate with piezoelectric layers attached to shape memory alloy (SMA) thin strips. An incremental piecewise elastic formation of the problem incorporates both stiffness changes and transformation strains in die SMA layers, induced either by applied mechanical loads or by electric activation of piezoelectric layers. Among the examples presented, the study of a laminated plate with PzT layers attached on both sides of an NiTi SMA layer shows that a full loading-unloading cycle in die applied electric field leads to energy dissipation in die laminated palate due to the disssipative process of stress induced martensitic phase transformation. (MM).