TY - JOUR
T1 - Semi-analytical analysis for multi-directional functionally graded plates
T2 - 3-D elasticity solutions
AU - Lü, C. F.
AU - Lim, C. W.
AU - Chen, W. Q.
PY - 2009/7/2
Y1 - 2009/7/2
N2 - Semi-analytical 3-D elasticity solutions are presented for orthotropic multi-directional functionally graded plates using the differential quadrature method (DQM) based on the state-space formalism. Material properties are assumed to vary not only through the thickness but also in the in-plane directions following an exponential law. The graded in-plane domain is solved numerically via the DQM, while exact solutions are sought for the thickness domain using the state-space method. Convergence studies are performed, and the present hybrid semi-analytical method is validated by comparing numerical results with the exact solutions for a conventional unidirectional functionally graded plate. Finally, effects of material gradient indices on the displacement and stress fields of the plates are investigated and discussed. © 2009 John Wiley & Sons, Ltd.
AB - Semi-analytical 3-D elasticity solutions are presented for orthotropic multi-directional functionally graded plates using the differential quadrature method (DQM) based on the state-space formalism. Material properties are assumed to vary not only through the thickness but also in the in-plane directions following an exponential law. The graded in-plane domain is solved numerically via the DQM, while exact solutions are sought for the thickness domain using the state-space method. Convergence studies are performed, and the present hybrid semi-analytical method is validated by comparing numerical results with the exact solutions for a conventional unidirectional functionally graded plate. Finally, effects of material gradient indices on the displacement and stress fields of the plates are investigated and discussed. © 2009 John Wiley & Sons, Ltd.
KW - 3-D elasticity
KW - Differential quadrature method
KW - Multi-directional functionally graded plates
KW - Semi-analytical analysis
KW - State-space method
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U2 - 10.1002/nme.2555
DO - 10.1002/nme.2555
M3 - RGC 21 - Publication in refereed journal
SN - 0029-5981
VL - 79
SP - 25
EP - 44
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 1
ER -