Perforated Functionally Graded Plate with Arbitrarily Radial Variation of Young’s Modulus under Pure Shear

Abstract:

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.

• Periodical: Advanced Materials Research (Volume 337)
• Pages: 678-681
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.337.678
• Online since: September 2011
• Authors: Hao Li, Yi Hua Liu
• Keywords: Arbitrarily Varying Young’s Modulus, Frobenius Method, Functionally Graded Material (FGM), Perforated Plate, Pure Shear

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