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Advances in Nano Research Volume 10, Number 2, February 2021 , pages 151-163 DOI: https://doi.org/10.12989/anr.2021.10.2.151 |
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Geometrically nonlinear thermo-mechanical analysis of graphene-reinforced moving polymer nanoplates |
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Mostafa Esmaeilzadeh, Mohammad Esmaeil Golmakani, Mehran Kadkhodayan, Mohammadreza Amoozgar and Mahdi Bodaghi
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| Abstract | ||
| The main target of this study is to investigate nonlinear transient responses of moving polymer nano-size plates fortified by means of Graphene Platelets (GPLs) and resting on a Winkler-Pasternak foundation under a transverse pressure force and a temperature variation. Two graphene spreading forms dispersed through the plate thickness are studied, and the Halpin-Tsai micro-mechanics model is used to obtain the effective Young's modulus. Furthermore, the rule of mixture is employed to calculate the effective mass density and Poisson's ratio. In accordance with the first order shear deformation and von Kármán theory for nonlinear systems, the kinematic equations are derived, and then nonlocal strain gradient scheme is used to reflect the effects of nonlocal and strain gradient parameters on small-size objects. Afterwards, a combined approach, kinetic dynamic relaxation method accompanied by Newmark technique, is hired for solving the time-varying equation sets, and Fortran program is developed to generate the numerical results. The accuracy of the current model is verified by comparative studies with available results in the literature. Finally, a parametric study is carried out to explore the effects of GPL's weight fractions and dispersion patterns, edge conditions, softening and hardening factors, the temperature change, the velocity of moving nanoplate and elastic foundation stiffness on the dynamic response of the structure. The result illustrates that the effects of nonlocality and strain gradient parameters are more remarkable in the higher magnitudes of the nanoplate speed. | ||
| Key Words | ||
| axially moving plates; graphene reinforced composites; thermal gradient; hybrid numerical method | ||
| Address | ||
| (1) Mostafa Esmaeilzadeh and Mohammad Esmaeil Golmakani: Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad 9187144123, Iran (2) Mehran Kadkhodayan: Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad 9177948944, Iran (3) Mohammadreza Amoozgar: School of Computing and Engineering, University of Huddersfield, HD1 3DH, United Kingdom (4) Mahdi Bodaghi: Department of Engineering, School of Science and Technology, Nottingham Trent University, Nottingham NG11 8NS, United Kingdom | ||