TY - JOUR
T1 - A comparison for the non-classical plate model based on axial buckling of single-layered graphene sheets
AU - Fattahi, A. M.
AU - Safaei, B.
AU - Ahmed, N. A.
N1 - Publisher Copyright:
© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - In this study, the size effect on the axial buckling behavior of single-layered graphene sheets embedded in elastic foundation is studied. Eringen’s non-local elasticity equations are incorporated into first-order shear deformation, higher-order shear deformation, and classical plate theories. Values of Winkler and Pasternak moduli parameters, side lengths of square SLGSs, non-local parameter and mode numbers are obtained from different non-local plate theories. It is shown that the axial buckling behavior is strongly dependent on non-local parameters and moduli which are different for different numbers and side lengths. Furthermore, we find that non-locality is more influential in first-order shear deformation than other non-local plate theories, especially in certain ranges of non-local parameters. Sensitivity indices are determined based on the Sobol method in their corresponding physical ranges.
AB - In this study, the size effect on the axial buckling behavior of single-layered graphene sheets embedded in elastic foundation is studied. Eringen’s non-local elasticity equations are incorporated into first-order shear deformation, higher-order shear deformation, and classical plate theories. Values of Winkler and Pasternak moduli parameters, side lengths of square SLGSs, non-local parameter and mode numbers are obtained from different non-local plate theories. It is shown that the axial buckling behavior is strongly dependent on non-local parameters and moduli which are different for different numbers and side lengths. Furthermore, we find that non-locality is more influential in first-order shear deformation than other non-local plate theories, especially in certain ranges of non-local parameters. Sensitivity indices are determined based on the Sobol method in their corresponding physical ranges.
UR - http://www.scopus.com/inward/record.url?scp=85074889029&partnerID=8YFLogxK
U2 - 10.1140/epjp/i2019-12912-7
DO - 10.1140/epjp/i2019-12912-7
M3 - Article
AN - SCOPUS:85074889029
SN - 2190-5444
VL - 134
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 11
M1 - 555
ER -