Nonlocal analysis of single and double-layered graphene cylindrical panels and nano-tubes under internal and external pressures considering thermal effects
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Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad
Department of Mechanical Engineering, Mashhad branch, Islamic Azad University, Mashhad
Submission date: 2016-08-30
Acceptance date: 2017-03-21
Online publication date: 2017-07-15
Publication date: 2017-07-15
Journal of Theoretical and Applied Mechanics 2017;55(3):883-896
Mechanical behavior of a bilayer graphene cylindrical panel and nano-tube is studied based on nonlocal continuum mechanics with regard to this aim, von-Karman assumptions and nonlocal theory of Eringen are considered. Then, the governing equations and boundary con- ditions have been derived applying energy method. While analyzing the bilayer cylindrical panel, the van der Waals interaction between the layers is considered in calculations. The constitutive equations are developed for nano-tubes under internal and external pressures. In order to solve the governing equations, the semi-analytical polynomial method (SAPM), which was presented by the authors before, is utilized and bending behavior of bilayer cylin- drical panels and nano-tubes is investigated. Finally, the effects of temperature, boundary conditions, elastic foundation, loading, van der Waals interaction between the layers and single layer to bilayer analyses are studied for graphene cylindrical panels and nano-tubes.
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