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, cilt.19, sa.4, ss.57-68, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.17512/jamcm.2020.4.05
  • Dergi Adı: Journal of Applied Mathematics and Computational Mechanics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.57-68
  • Anahtar Kelimeler: FGM, cylindrical pressure vessels, pseudospectral Chebyshev method, Mori-Tanaka homogenization, THICK CYLINDERS, FINITE-LENGTH, STRESS
  • Çukurova Üniversitesi Adresli: Evet

Özet

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.