Static Analysis of FGM Plate-Strip with a Rectangular Hole Under Bending

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Yeşil Ü. , Gezer M.

Osmaniye Korkut Ata University Journal of Natural and Applied sciences, vol.3, no.2, pp.135-145, 2020 (International Refereed University Journal)

  • Publication Type: Article / Article
  • Volume: 3 Issue: 2
  • Publication Date: 2020
  • Title of Journal : Osmaniye Korkut Ata University Journal of Natural and Applied sciences
  • Page Numbers: pp.135-145


In this sudy, a simply supported FGM plate-strip with rectangular hole subjected to bending loadings is investigated. Young’s modulus varies continuously throughout the length and width of the plate-strip based on the power-law functions; but the Poisson's ratio and material density are assumed to be constant. The classical linear elasticity theory and the generalized plane-strain conditions are assumed for the modelling of the theoretical investigations. The solution of the considered problem is obtained numerically with the help of the Finite Element Method (FEM). Finite number of sub-domains (FEs) are used for the discretization of the solution domain and the solution in each sub-domain is considered as a polynomial function. Employing the Ritz technique, the FEM modelling of the boundary value problem is obtained. The solution domain is discretized a certain number of rectangular elements having nine nodes. We have used displacementbased finite elements for the FEM modelling. The solutions of the displacement and stress concentration are investigated to understand the hole effect on the platestrip made of functionally graded materials.