A novel model and solution on the bending problem of arbitrary shaped magnetoelectroelastic plates based on the modified strain gradient theory

Abstract

A size-dependent magnetoelectroelastic (MEE) plate bending model is established where the governing equations and concrete forms of three different mechanical boundary conditions under modified strain gradient theory are derived by the variational principle. Then, the meshless method of polynomial particular solutions is further developed to solve this bending problem. Finally, the influences of size effect, mechanical-electric-magnetic coupling loads, and Pasternak foundation on the bending properties of MEE plates are detailed discussed by some typical numerical examples. Of importance, by virtue of the general applicability and superior flexibility of current method, the bending analyses of MEE plates under different mechanical boundary conditions and geometrical shapes can be carried out, and some novel conclusions are concluded.