The cylindrical bending of composite plates with piezoelectric and SMA layers
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abstract
A laminated plate with orthotropic piezoelectric layers undergoing cylindrical bending under the application of electromechanical loading is considered in this work. A known elasticity solution is extended to the coupled electroelastic field case by introducing, in addition to an Airy stress function, the electric potential for every layer. The accuracy of the classical composite plate theory as applied to laminates with piezoelectric layers is investigated, by comparing the solution of the classical plate theory to the present exact coupled field electroelastic solution, and the validity of the way electric boundary conditions are applied in classical beam or plate theories is discussed. The electroelastic solution is applied to the 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 the 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 the applied electric field leads to energy dissipation in the laminated plate due to the dissipative process of stress induced martensitic phase transformation. 1994 IOP Publishing Ltd.
