Nonlinear third-order shear deformation theory and finite element simulation of smart plates with piezoelectric layers

This paper deals with nonlinear finite element analysis of plates incorporating piezoelectric layers. The finite elements are based on von Kármán-type first- and third-order transverse shear deformation theory (FOSD and TOSD, respectively). The presented finite element implementation is based on a total Lagrangian approach. As an example we consider shape control of a hinged plate with PZT actuator layers bonded to the top and bottom surfaces. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)