The classical laminated plate theory is modified in the present work to study the nonlinear electro-mechanical coupling in smart electrostrictive actuators. An iterative and a closed-form solutions are developed to estimate the mechanical and electrical response of electrostrictive laminates due to electrical and/or mechanical excitation. Both the numerical and the analytic schemes give almost identical solutions, which shows that a nonlinear coupling term in the constitutive relation of electrostrictive materials is insignificant.
"Smart electrostrictive composite materials for actuators", Proc. SPIE 5116, Smart Sensors, Actuators, and MEMS, (24 April 2003); doi: 10.1117/12.499595; https://doi.org/10.1117/12.499595