Nonlinear extension and bending of piezoelectric laminated plate under large applied field actuation

A smart laminate model developed using the nonlinear piezoelectric model, i.e., electroelastic and electrostrictive effects, and von Kármán type geometric nonlinearity is proposed. On the basis of the proposed model, the analytical solutions for extensional and bending deformations of symmetrically constructed piezoelectric laminates under large electric fields are calculated. A comparison between the present nonlinear extension deformation of a piezoelectric laminated plate and the induced strain model shows that more realistic results are obtained with the present model. Numerical simulation reveals that the calculated results agree well with the experimental data.