article · Mechanics Based Design of Structures and Machines
This research investigated wave propagation in functionally graded porous graphene platelets-reinforced nanoplates. A new quasi 3D plate theory, incorporating nonlocal strain gradient theory, was employed to analyse these nanoplates, which were subjected to in-plane mechanical loads and magnetic fields while resting on elastic foundations. The model accounted for shear deformation and thickness stretching, considering four types of uniform or non-uniform distribution for internal porosities and graphene platelets. Material properties were calculated using the modified Halpin-Tsai pattern, and Lorentz magnetic force was derived from Maxwell’s equations. Parametric studies revealed that wave frequency increases with the graphene platelets weight fraction and magnetic field parameter, but decreases as the pore coefficient rises.
Understanding wave propagation in reinforced nanoplates is crucial for developing advanced materials and miniature devices. This research provides insights into how these tiny structures behave under mechanical and magnetic forces, which can inform the design of future technologies requiring high performance at the nanoscale.
The abstract describes fundamental research into the mechanical behaviour of advanced nanomaterials. It does not indicate a specific application pathway, potential users, or a readiness level for commercialisation.
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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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DOI: 10.1080/15397734.2020.1769651
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