TY - JOUR
T1 - Analysis of functionally graded sandwich plates using a new first-order shear deformation theory
AU - Thai, Huu-Tai
AU - Nguyen, Trung-Kien
AU - Vo, Thuc
AU - Lee, Jaehong
N1 - Published online before print.
PY - 2014
Y1 - 2014
N2 - Abstract In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton’s principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.
AB - Abstract In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear deformation theory, the number of unknowns and governing equations of the present theory is reduced, thereby making it simple to use. In addition, the use of shear correction factor is no longer necessary in the present theory since the transverse shear stresses are directly computed from the transverse shear forces by using equilibrium equations. Equations of motion are derived from Hamilton’s principle. Analytical solutions for bending, buckling and free vibration analysis of rectangular plates under various boundary conditions are presented. Verification studies show that the present first-order shear deformation theory is not only more accurate than the conventional one, but also comparable with higher-order shear deformation theories which have a greater number of unknowns.
U2 - 10.1016/j.euromechsol.2013.12.008
DO - 10.1016/j.euromechsol.2013.12.008
M3 - Article
SN - 0997-7538
VL - 45
SP - 211
EP - 225
JO - European Journal of Mechanics - A/Solids
JF - European Journal of Mechanics - A/Solids
ER -