Exact solution for in-plane static problems of circular beams made of functionally graded materials


Tüfekci E. , EROGLU U. , AYA S. A.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, cilt.44, ss.476-494, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/15397734.2015.1121398
  • Dergi Adı: MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
  • Sayfa Sayıları: ss.476-494

Özet

Exact analytical solutions of in-plane static problems of circular beams with uniform cross-section made of functionally graded material (FGM) are obtained. Material properties are assumed to be varying arbitrarily through the thickness. The effects of axial extension and shear deformations are considered. The differential equation system is solved exactly using the initial values method. The circumferential stress distribution on the cross-section is also obtained. The results are compared with those of rather complex approaches in the literature, such as elasticity approach, and the comparison shows an excellent agreement. Effects of power law exponent and radius-to-height ratio of the beam on circumferential stress distribution and displacements are investigated.