Journal
ENGINEERING WITH COMPUTERS
Volume 38, Issue SUPPL 1, Pages 353-369Publisher
SPRINGER
DOI: 10.1007/s00366-020-01152-2
Keywords
Kelvin-voight model; Multi-scale hybrid nanocomposite reinforcement; Elastic core; Doubly curved panel; Compatibility equations
Funding
- National Natural Science Foundation of China [51805475]
- Outstanding Young Teachers Fund of Hangzhou Dianzi University [GK160203201002/003]
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The wave propagation behavior of a sandwich structure with a soft core and multi-hybrid nanocomposite face sheets is analyzed in this study. The influence of viscoelasticity is taken into account using the Kelvin-Voight model, and the effective material properties are derived using a micromechanical scheme with the Halpin-Tsai model. The parametric study shows that increasing the damping factor has a more significant effect on the phase velocity of the sandwich structure, and there is a critical value for the viscoelastic foundation where the relationship between wave number and phase velocity changes.
The analysis of the wave propagation behavior of a sandwich structure with a soft core and multi-hybrid nanocomposite (MHC) face sheets is carried out in the framework of the higher-order shear deformation theory (HSDT). In order to take into account the viscoelastic influence, the Kelvin-Voight model is presented. In this paper, the constituent material of the core is made of an epoxy matrix which is reinforced by both macro- and nano-size reinforcements, namely carbon fiber (CF) and carbon nanotube (CNT). The effective material properties like Young's modulus or density are derived utilizing a micromechanical scheme incorporated with the Halpin-Tsai model. Then, on the basis of an energy-based Hamiltonian approach, the equations of motion are derived. The detailed parametric study is conducted, focusing on the combined effects of the viscoelastic foundation, CNT' weight fraction, core to total thickness ratio, small radius to total thickness ratio, and carbon fiber angle on the wave propagation behavior of sandwich structure. The results show that as well as increasing the phase velocity of the sandwich structure by increasing the wave number, this influence will be much more effective by increasing the damping factor. It is also observed that there is a critical value for the viscoelastic foundation that the relation between wave number and phase velocity will change from direct to indirect. The presented study outputs can be used in ultrasonic inspection techniques and structural health monitoring.
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