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, sa.4, ss.476-494, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/15397734.2015.1121398
  • Dergi Adı: MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.476-494
  • Anahtar Kelimeler: Beam theory, curved beam, exact analytical solution, functionally graded material, static analysis, FREE-VIBRATION ANALYSIS, SHEAR DEFORMATION-THEORY, VARIABLE CROSS-SECTION, CURVED BEAMS, ELASTICITY SOLUTIONS, ELEMENT-METHOD, PLATES, THERMOELASTICITY, TIMOSHENKO, SURFACE
  • İstanbul Teknik Üniversitesi Adresli: Evet

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.