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1 International Journal of Applied Mechanics and Engineering

1 2006

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Nonlinear static and dynamic analysis of functionally graded plates

Wu T. L., Shukla K. K., Huang J. H.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 3

679-698

Explicit solution for the nonlinear static and dynamic responses of the functionally graded materials rectangular plate is obtained. The volume fraction of the material constituents is assumed to follow a simple power law distribution. The formulation is based on the first-order shear deformation theory and von-Karman nonlinear kinematics. Solution methodology utilizes quadratic extrapolation technique for linearization, finite double Chebyshev series for spatial discretization of the variables and Houbolt time marching scheme for temporal discretization. Numerical results show the effect of volume fraction exponent of the constituent materials on the nonlinear static and dynamic responses of the plate with different boundary conditions and plate span to thickness ratio. Analysis results indicate that the effect of the volume fraction exponent n up to two on the displacement of the plate is more significant.