Bending and vibration behaviors of matrix cracked hybrid laminated plates containing CNTR-FG layers and FRC layers

The influence of matrix cracks on bending and vibration behaviors of hybrid laminated plates is investigated based on an element-free numerical framework. Carbon nanotube reinforced functionally graded (CNTR-FG) layers and conventional graphite fiber reinforced composite (FRC) layers are selected as layer elements for the considered hybrid laminated plates. To illustrate the degraded stiffness, a matrix-cracked model, namely self-consistent model (SCM), is employed. Based on the first-order shear deformation theory (FSDT), we can obtain the governing equation. An element-free numerical framework is proposed to solve the governing equation for obtaining the bending and vibration solutions. In addition, some selected calculations are furnished to illustrate the influences of matrix crack densities, boundary conditions, material parameters and geometric parameters on the bending and vibration behavior characteristics.