Elastic wave characteristics of graphene nanoplatelets reinforced composite nanoplates

Behrouz Karami, Parastoo Gheisari, Seyed Mohammad Reza Nazemosadat, Payam Akbari, Davood Shahsavari and Matin Naghizadeh

Abstract

For the first time, the influence of in-plane magnetic field on wave propagation of Graphene Nano-Platelets (GNPs) polymer composite nanoplates is investigated here. The impact of three- parameter Kerr foundation is also considered. There are two different reinforcement distribution patterns (i.e. uniformly and non-uniformly) while the material properties of the nanoplate are estimated through the Halpin-Tsai model and a rule of mixture. To consider the size-dependent behavior of the structure, Eringen Nonlocal Differential Model (ENDM) is utilized. The equations of wave motion derived based on a higher-order shear deformation refined theory through Hamilton's principle and an analytical technique depending on Taylor series utilized to find the wave frequency as well as phase velocity of the GNPs reinforced nanoplates. A parametric investigation is performed to determine the influence of essential phenomena, such as the nonlocality, GNPs conditions, Kerr foundation parameters, and wave number on the both longitudinal and flexural wave characteristics of GNPs reinforced nanoplates.

Key Words

wave propagation; nanocomposite plate; graphene nanoplatlets; magnetic field; Kerr foundation

Address

Behrouz Karami, Davood Shahsavari: Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran Parastoo Gheisari: School of Mechanical Engineering, Shiraz University, Shiraz, Iran Seyed Mohammad Reza Nazemosadat: Sama Technical and Vocational Training College, Islamic Azad University, Shiraz Branch, Shiraz, Iran Payam Akbari: Department of Civil Engineering, Tehran South Branch, Islamic Azad University, Tehran, Iran Matin Naghizadeh: Department of Chemistry, Shahid Bahonar University of Kerman, Kerman, Iran

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