Nonlocal analysis of single and double-layered graphene cylindrical panels and nano-tubes under internal and external pressures considering thermal effects

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.