Effect of viscoelastic Foundation on the dynamic analysis of FG polymer nanoplates reinforced with graphene nanoplatelets

Abdelmadjid Lounis , Amina Attia , Abdelmoumen Anis Bousahla , Abdeldjebbar Tounsi Abdelouahed Tounsi , Houari Heireche , S.R. Mahmoud

Abstract

The aim of this study is to investigate the effect of viscoelastic support on the free vibration behavior of nanocomposite plates composed of functionally graded (FG) polymers and reinforced with graphene nanoplatelets (GNPs). A four-variable first shear deformation theory with nonlocal elasticity theory is used. By considering new shape functions, it is possible to explain why the transverse shear stresses and strains are parabolically distributed through the thickness of the plate and vanish at the top and bottom. Four alternative FG reinforcement patterns are used. The Halpin-Tsai model is used to calculate the effective material properties of the nanocomposite plates. Numerical results of nanoplate-FG polymer composite are compared with literature predictions to validate the results. A thorough parametric analysis revealed the influence of some important parameters on the dynamic behaviors of GNPs-reinforced FG polymer composite nanoplates, including nonlocal parameters, weight fraction, and parameters related to the viscoelastic basis.

Key Words

free vibration; graphene nanoplatelets; Halpin-Tsai model; shear deformation theory

Address

Abdelmadjid Lounis — Département D'Agronomie, Faculté des Sciences de la Nature et de la Vie et Sciences de la Terre, Université Djilali Bounaama de Khemis Miliana, Algeria/ Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Amina Attia — Laboratoire d'Ingénierie et Développement Durable, University of Ain Témouchent, Faculté des Sciences et de la Technologie, Département de Génie Civil et Travaux Publics, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria Abdeldjebbar Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria/ Mechanical Engineering Department, Faculty of Science & Technology, University of Relizane, Algeria Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Houari Heireche — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
S.R. Mahmoud — GRC Department, Applied College, King Abdulaziz University, Jeddah 21589, Saudi Arabia

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