TY - JOUR
T1 - State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates
AU - Trinh, Luan C.
AU - Vo, Thuc P.
AU - Thai, Huu Tai
AU - Nguyen, Trung Kien
AU - Keerthan, Poologanathan
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/9/15
Y1 - 2018/9/15
N2 - The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.
AB - The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed with a refined shear deformation theory. The rectangular plates embedded on two opposite simply-supported edges with the arbitrary combinations of the other two. Based on the state-space Levy solution, the deflections, stresses, natural frequencies and critical buckling loads are analytically solved for the closed-form formulations. The effects of material distribution and graded schemes, geometric parameters and boundary conditions are also investigated to examine the size-dependent behaviours of FG sandwich microplates.
KW - Functionally graded sandwich microplate
KW - Levy solution
KW - Modified couple stress theory
KW - Size-dependent behaviours
KW - State-space based solution
UR - http://www.scopus.com/inward/record.url?scp=85047241201&partnerID=8YFLogxK
U2 - 10.1016/j.compositesb.2018.05.017
DO - 10.1016/j.compositesb.2018.05.017
M3 - Article
AN - SCOPUS:85047241201
SN - 1359-8368
VL - 149
SP - 144
EP - 164
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
ER -