An analytical approach for evaluating the nonlinear bending of sandwich nanobeams

This work employs a novel analytical method to address the issue of nonlinear static bending in sandwich nanobeams, while considering the effect of the flexoelectric phenomenon. The beam is composed of a material that has three layers, and the middle layer contains porosities. The calculation methods are developed from the novel third-order shear deformation theory, which incorporates the consideration of small-scale effects via the nonlocal theory. The resolution of the nonlinear bending issue is effectively shown by solving the third-order equation, and the identification of the nonlinear bending equation for the sandwich nanobeams is also the originality of this study. This research also presents examples to validate the dependability of the solution. The paper uses numerical calculations to elucidate the impact of certain parameters on the nonlinear bending response of sandwich nanobeams. The findings of this research have practical significance for informing the design and production of sandwich nanobeams.