Non-polynomial framework for bending responses of the multi-scale hybrid laminated nanocomposite reinforced circular/annular plate

摘要

This survey addresses the non-polynomial framework for bending responses of three-phase multi-scale hybrid laminated nanocomposite (MHLNC) reinforced circular/annular plates (MHLNCRCP/ MHLNCRAP) based upon the three-dimensional theory of elasticity for various sets of boundary conditions. The sandwich structure with two, three, five, and seven layers is modeled using compatibility conditions. The state-space based differential quadrature method (SS-DQM) is presented to examine the bending behavior of MHLNCRCP/ MHLNCRAP by considering various boundary conditions. Halpin-Tsai equations and fiber micromechanics are used in the hierarchy to predict the bulk material properties of the multi-scale composite. Singular point is investigated for modeling the annular disk. The carbon nanotubes (CNTs) are supposed to be randomly oriented and uniformly distributed through an epoxy resin matrix. Afterward, a parametric study is done to present the effects of various symmetric cross-ply laminated layers, various types of sandwich circular/annular plates, and various types of pressure on the bending characteristics of the MHLNCRCP/ MHLNCRAP. Numerical results reveal that sinusoidal load is the best pressure for improving the nanocomposite circular/annular plates' deformation resistance and stress.