Perforated Functionally Graded Plate with Arbitrarily Radial Variation of Young’s Modulus under Pure Shear
In this work, the static response of a perforated functionally graded plate is investigated under pure shear. Young’s modulus is assumed to vary arbitrarily along the radial direction, while Poisson’s ratio keeps constant. Using the stress function method, the governing equation is obtained, and then the series solution of stresses is derived with the aid of the Frobenius method. Numerical examples show that the convergence rate of the presented solution is rapid.
Prasad Yarlagadda, Yun-Hae Kim, Zhijiu Ai and Xiaodong Zhang
H. Li and Y. H. Liu, "Perforated Functionally Graded Plate with Arbitrarily Radial Variation of Young’s Modulus under Pure Shear", Advanced Materials Research, Vol. 337, pp. 678-681, 2011