Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT)

Abstract

Based on the first order shear deformation plate theory (FSDT) in the present studie, static and dynamic behavior of carbon nanotube-reinforced composite sandwich plates has been analysed. Two types of sandwich plates, namely, the sandwich with face sheet reinforced and homogeneous core and the sandwich with homogeneous face sheet and reinforced core are considered. The face sheet or core plates are reinforced by single-walled carbon nanotubes with two types of distributions of uniaxially aligned reinforcement material which uniformly (UD-CNT) and functionally graded (FG-CNT). The analytical equations are derived and the exact solutions for bending and vibration analyses of such type’s plates are obtained. The mathematical models provided and the present solutions are numerically validated by comparison with some available results in the literature. Influence of Various parameters of reinforced sandwich plates such as aspect ratios, volume fraction, types of reinforcement and plate thickness on the bending and vibration analyses of carbon nanotube-reinforced composite sandwich plates are studied and discussed. The findings suggest that the (FG-CNT) face sheet reinforced sandwich plate has a high resistance against deflections compared to other types of reinforcement. It is also revealed that the reduction in the dimensionless natural frequency is most pronounced in core reinforced sandwich plate.

Static and free vibration analysis of functionally graded CNT reinforced sandwich plates using inverse hyperbolic shear deformation theory

“…The non-dimensional parameter used for the representation of the result is given by equation (27). The presented results are compared with the results presented by Draoui et al 55 in which FSDT is selected for the analysis of the three-layered FG-CNTR sandwich plate which has five degrees of freedom. It is observed from the literature 57 that IHSDT provides a more accurate result as compared to the FSDT.…”

“…Adhikari and Singh 54 studied the thermal responses of the FG-CNTR composite laminated plate, using extended Hamilton’s principle to derive governing differential equations in the FEM environment. Draoui et al 55 investigated the static and free vibrational analysis of the FG-CNTR sandwich plate subjected to different mechanical loads for different stacking sequences using FSDT. Wang and Shen 56 carried out nonlinear static and free vibration analysis of the CNTRC sandwich plates.…”

Size-dependent free vibration and buckling analysis of sigmoid and power law functionally graded sandwich nanobeams with microstructural defects

“…18 More recently, Draoui et al. 19 employed first-order shear deformation plate theory (FSDT) to analyze the static and dynamic behavior of carbon nanotube-reinforced composite sandwich plates. Two types of sandwich plates were considered in their investigation, namely, the sandwich with face sheet reinforced and homogeneous core and the sandwich with homogeneous face sheet and reinforced core.…”

An efficient approach for prediction of the nonlocal critical buckling load of double-walled carbon nanotubes using the nonlocal Donnell shell theory

“…The static, buckling and vibration behaviors of nanosystems are of great interest and special attention by the applied mechanics community as shown these recent works [9,[21][22][23]45]. In this context, on the basis of the nonlocal elasticity theory, we propose use the nonlocal Donnell shell theory to study the buckling of DWCNTs subjected to an axial pressure taking into account the effects of internal small length scale and the interactions of Van der Waals between layers.…”