TY - JOUR
T1 - Analytical asymptotic solutions for rectangular laminated composite plates
AU - Lee, Jaehun
AU - Cho, Maenghyo
AU - Kim, Jun Sik
PY - 2011
Y1 - 2011
N2 - An analytical solution for rectangular laminated composite plates was obtained via a formal asymptotic method. From three-dimensional static equilibrium equations, the microscopic one-dimensional and macroscopic two-dimensional equations were systematically derived by scaling of the thickness coordinate with respect to the characteristic length of the plate. The one-dimensional through-the-thickness analysis was performed by applying a standard finite element method. The derived two-dimensional plate equations, which take the form of recursive equations, were solved under sinusoidal loading with simply-supported boundary conditions. To demonstrate the validity and accuracy of the present method, various types of composite plates were studied, such as cross-ply, anti-symmetric angle-ply and sandwich plates. The results obtained were compared to those of the classical laminated plate theory, the first-order shear deformation theory and the three-dimensional elasticity. In the present analysis, the characteristic length of each composite was dependent upon the layup configurations, which affected the convergence rate of the method. The results shown herein are promising that it can serve as an efficient tool for the analysis and design of laminated composite plates.
AB - An analytical solution for rectangular laminated composite plates was obtained via a formal asymptotic method. From three-dimensional static equilibrium equations, the microscopic one-dimensional and macroscopic two-dimensional equations were systematically derived by scaling of the thickness coordinate with respect to the characteristic length of the plate. The one-dimensional through-the-thickness analysis was performed by applying a standard finite element method. The derived two-dimensional plate equations, which take the form of recursive equations, were solved under sinusoidal loading with simply-supported boundary conditions. To demonstrate the validity and accuracy of the present method, various types of composite plates were studied, such as cross-ply, anti-symmetric angle-ply and sandwich plates. The results obtained were compared to those of the classical laminated plate theory, the first-order shear deformation theory and the three-dimensional elasticity. In the present analysis, the characteristic length of each composite was dependent upon the layup configurations, which affected the convergence rate of the method. The results shown herein are promising that it can serve as an efficient tool for the analysis and design of laminated composite plates.
KW - Asymptotic analysis
KW - Formal asymptotic method-based plate analysis
KW - Laminated composite
KW - Sandwich plate
UR - http://www.scopus.com/inward/record.url?scp=84866096581&partnerID=8YFLogxK
U2 - 10.5139/IJASS.2011.12.2.200
DO - 10.5139/IJASS.2011.12.2.200
M3 - Article
AN - SCOPUS:84866096581
SN - 2093-274X
VL - 12
SP - 200
EP - 209
JO - International Journal of Aeronautical and Space Sciences
JF - International Journal of Aeronautical and Space Sciences
IS - 2
ER -