Computation of elastodynamic behavior of a hybrid laminated plate containing CNTR-FG layers and FRC layers under dynamic loading

This paper studies the elastodynamic behavior of a hybrid laminated plate composed of carbon nanotube-reinforced functionally graded (CNTR-FG) layers and conventional fiber reinforced composite (FRC) layers. Based on first order shear deformation theory (FSDT), the element-free kp-Ritz method was used in this paper. Four types of functionally graded distributions of single walled carbon nanotubes (SWCNTs) along the thickness direction of layers are considered. The extended rule of mixture was used to calculate the effective material properties of the resulting nanocomposites. Two-dimensional displacement fields of the plates are obtained by using the mesh-free kernel particle functions. The Ritz procedure is used to obtain the discretized governing equations and the Newmark-β method is applied to perform numerical time integration. The stability and accuracy of the present element-free method are verified through convergence studies by considering the effect of support size and number of nodes. Detail parametric studies are conducted to investigate the influence of carbon nanotube volume fraction, plate width-to-thickness ratio, plate aspect ratio, boundary condition and distribution type of carbon nanotubes on the dynamic responses of hybrid laminated plates containing CNTR-FG layers and FRC layers.