Three‐dimensional analysis of functionally graded plates

Based on the state-space formalism, a three-dimensional analysis is presented for orthotropic functionally graded rectangular plates with simply supported edges under static and dynamic loads. The material properties are assumed to be variable through the thickness. The governing equations for the functionally graded material (FGM) are developed on the state-space approach in the Laplace transform domain. Assuming constant material properties, we derive the analytical solutions that can be used to validate any numerical methods. For FGM plates, the numerical solutions are obtained by the use of radial basis function method. Three examples are presented for the FGMs and laminated composite. The accuracy of the proposed numerical technique has been compared with the exact solutions. Copyright © 2011 John Wiley & Sons, Ltd.

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