TY - JOUR
T1 - Static analysis of multiple graphene sheet systems in cylindrical bending and resting on an elastic medium
AU - Wu, Chih Ping
AU - Lin, Chih Chen
N1 - Funding Information:
This work was supported by the Ministry of Science and Technology of the Republic of China through Grant MOST 106-2221-E-006-036-MY3.
PY - 2020/7/10
Y1 - 2020/7/10
N2 - 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. The dimension of the MGSS in the y direction is considered to be 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 the adjacent layers and that of the surrounding medium of the MGSS, and the nonlocal parameter.
AB - 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. The dimension of the MGSS in the y direction is considered to be 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 the adjacent layers and that of the surrounding medium of the MGSS, and the nonlocal parameter.
UR - http://www.scopus.com/inward/record.url?scp=85098228542&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85098228542&partnerID=8YFLogxK
U2 - 10.12989/sem.2020.75.1.109
DO - 10.12989/sem.2020.75.1.109
M3 - Article
AN - SCOPUS:85098228542
SN - 1225-4568
VL - 75
SP - 109
EP - 122
JO - Structural Engineering and Mechanics
JF - Structural Engineering and Mechanics
IS - 1
ER -