Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

EKER M., YARIMPABUÇ D., YILDIRIM A., ÇELEBİ K.

Journal of Applied Mathematics and Computational Mechanics, vol.19, no.4, pp.57-68, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.17512/jamcm.2020.4.05
  • Journal Name: Journal of Applied Mathematics and Computational Mechanics
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.57-68
  • Keywords: FGM, cylindrical pressure vessels, pseudospectral Chebyshev method, Mori-Tanaka homogenization, THICK CYLINDERS, FINITE-LENGTH, STRESS
  • Çukurova University Affiliated: Yes

Abstract

In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.