Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory

摘要

A size-dependent functionally graded piezoelectric microplate model is developed in this paper. It is based on the modified couple-stress and sinusoidal plate theories. The main advantages of the modified couple-stress theory over the classical couple-stress theory are the introduction of the symmetric couple-stress tensor and the involvement of only one material length-scale parameter. The material properties of functionally graded piezoelectric plate are assumed to vary through the thickness according to a power law. Numerical examples are presented for both static bending and free vibration problems of a simply supported piezoelectric functionally graded microplate. The effects of power-law index of material gradient, material length-scale parameter, plate aspect ratio, and mechanical and electric loadings on the displacement (deflection), electric potential, stress, electric displacement and natural frequency are demonstrated. (C) 2015 Elsevier Ltd. All rights reserved.