A review on modeling techniques of piezoelectric integrated plates and shells

Piezoelectric materials embedded into plates and shells make the structures being capable of sensing and actuation, usually called smart structures, which are frequently used for shape and vibration control, noise control, health monitoring, and energy harvesting. To give a precise prediction of static and dynamic behavior of smart structures, the linear/nonlinear multi-physics coupled modeling technique is of great importance. The article attempts to present the available research on modeling of piezoelectric integrated plates and shells, including (1) through thickness hypotheses for beams, plates, and shells; (2) geometrically nonlinear theories for plates and shells; (3) electroelastic material linear/nonlinear modeling; (4) multi-physics coupled modeling; and (5) modeling of advanced piezo-fiber composite bonded structures.