Thermal Analysis of Functionally Graded Plates by Wavelet Method
To consider the material properties of functional gradient plate structure change along the thickness, in this paper, the wavelet method is used to solve plate differential equations with initial or boundary conditions. An operational matrix of integration based on the wavelet is established and the procedure for applying the matrix to solve the differential equations is formulated, and gets the temperature, stresses and displacement of the plate when the material properties of gradient plate take arbitrary function. The results show that the proposed way is quite reasonable while comparing to the exact solution.
Shiquan Liu and Min Zuo
K. L. Ren et al., "Thermal Analysis of Functionally Graded Plates by Wavelet Method", Advanced Materials Research, Vols. 306-307, pp. 572-576, 2011