Nowadays, the micro/nano structural elements are utilized in various branches of engineering practice as parts of MEMS/NEMS sensors and actuators. Therefore, it is necessary to investigate the mechanical behaviour of such structures in the micro/nano scales. It is well known that strain-gradients can induce polarization even in non-piezoelectric solids and this effect is called as direct flexoelectricity. The paper aims to derive the formulation for bending of flexoelectric FGM micro/nano plates with taking into account the assumptions of the Kirchhoff-Love plate bending theory. We shall to investigate the influence of material length scale parameter as well as the gradation parameters on the static responses of the flexoelectric micro/nano plates. The functional gradation of material coefficients complies the rule of mixture. For numerical solution of complex boundary value problems a the Moving Finite Element approximation technique is applied for spatial variations of field variables. The inaccuracy of solution due to the high order derivatives of field variables is overcome by decomposing the original governing partial differential equations (PDE) into the system of PDEs with lower order derivatives. Several numerical experiments are presented for illustration of multi-physical effects in bending of flexoelectric FGM plates under stationary mechanical loading.

Acknowledgment: The financial support by the Science Grant Agency of the Slovak Republic through the grant VEGA-2/0084/24 is greatly acknowledged.