期刊
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
卷 50, 期 5, 页码 1831-1850出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15397734.2020.1769651
关键词
Porosity; magnetic field; wave propagation; nonlocal strain gradient theory; graphene platelets
类别
资金
- Deanship of Scientific Research at King Faisal University [1811003]
This paper investigates wave propagation in functionally graded porous graphene platelets-reinforced nanoplates subjected to mechanical load and magnetic field using the nonlocal strain gradient theory and a new quasi 3D plate theory. The effects of various parameters on the wave frequency and phase velocity are studied in detail.
In this paper, the nonlocal strain gradient theory and a new quasi 3D plate theory are employed to investigate the wave propagation in functionally graded (FG) porous graphene platelets (GPLs)-reinforced nanoplates on elastic foundations subjected to in-plane mechanical load and magnetic field. The present theory takes into account the shear deformation as well as the thickness stretching effect. The internal porosities and the GPLs are uniformly or non-uniformly distributed into the matrix according to four different types. The properties of the nanocomposites plates are calculated by utilizing the modified Halpin-Tsai pattern. Lorentz magnetic force is derived from Maxwell's equations for the conducting material. The motion equations are derived employing Hamilton's principle according to a new shear and normal deformations plate theory. Detailed parametric investigations on the wave frequency and phase velocity of the porous GPLs-reinforced nanoplates are implemented considering the influences of porosity coefficient, GPLs weight fraction, magnetic parameter and foundation stiffnesses on the results. It can be found that an increment occurs in the wave frequency with increasing the GPLs weight fraction and magnetic field parameter. While, it decreases as the pore coefficient increases.
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