Analysis of functionally graded plates. (English) Zbl 0970.74041

Reddy, J. N.

Int. J. Numer. Methods Eng. 47, No. 1-3, 663-684 (2000).

Summary: Theoretical formulation, Navier’s solutions of rectangular plates, and finite element models based on the third-order shear deformation plate theory are presented for the analysis of through-thickness functionally graded plates. The plates are assumed to have isotropic, two-constituent material distribution through the thickness, and the modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of volume fractions of constituents. The formulaton accounts for thermomechanical coupling, time dependence, and for von Kármán-type geometric nonlinearity. Numerical results obtained by using linear third-order theory and nonlinear first-order theory are presented to show the effect of material distribution on deflections and stresses.

MSC:

74K20	Plates
74S05	Finite element methods applied to problems in solid mechanics
74F05	Thermal effects in solid mechanics

Keywords:

Navier’s solutions; rectangular plates; finite element models; third-order shear deformation plate theory; functionally graded plates; thermomechanical coupling; von Kármán-type geometric nonlinearity; linear third-order theory; nonlinear first-order theory

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