Static Analysis of Embedded Multiple Graphene Sheet Systems Based on the Three-dimensional Nonlocal Elasticity Theory

Abstract

An asymptotic local plane strain elasticity theory is reformulated for the static analysis of a simply-supported multiple graphene sheet system (MGSS) in cylindrical bending and resting on an elastic medium in which the dimension of the MGSS in the y direction is much greater than those in the x and z directions such that all the field variables are considered to be independent of the y coordinate Eringen’s nonlocal constitutive relations are used to account for the small length scale effects in the formulation examining the static behavior of the MGSS The interaction between the MGSS and its surrounding foundation is modelled as a Winkler foundation with the parameter kw and the interaction between adjacent graphene sheets (GSs) is considered using another Winkler model with the parameter cw A parametric study with regard to some effects on the static behavior of the MGSS resting on an elastic medium is undertaken such as the aspect ratio the number of the GSs the stiffness of the medium between adjacent layers and that of the surrounding medium of the MGSS and the nonlocal parameter

Date of Award	2020
Original language	English
Supervisor	Chih-Ping Wu (Supervisor)