Bending analysis of CNT-reinforced sandwich plates using non-polynomial zigzag theory based on secant function

Abstract

This study presents a comprehensive bending analysis of carbon nanotube-reinforced (CNTR) sandwich plates with varying stacking sequences, utilizing a non-polynomial zigzag theory based on the secant function. The secant function implicitly accommodates higher-order bending deformation with lesser computational costs and encompassing the cross-sectional warping. Principle of virtual work in conjunction with Navier’s solution methodology is used to develop the governing differential equation for the plate and to propose the solution of the system of equation, respectively. The analysis considers transverse deflection, normal stresses, in-plane shear stress, and transverse shear stresses to capture the complex behavior of CNTR sandwich composite plate structures. Different parametric studies are performed, exploring the effects of various reinforcement distributions of carbon nanotubes (CNTs) within the CNTR sandwich plate face sheet layers mainly, UD and FG. The superimposition of non-polynomial shear deformation theory based on secant function with zigzag functions provides accurate and efficient solutions, addressing the intricate stress distribution and deformation characteristics of CNTR sandwich plate. The findings offer valuable insights for the optimal design and application of CNTR sandwich plates in engineering fields, ensuring enhanced performance and structural integrity.