The stress response of partially plastic rotating FGM hollow shafts: Analytical treatment for axially constrained ends

Eraslan A. N., Akis T.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, cilt.34, sa.3, ss.241-260, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 3
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/15397730600779285
  • Dergi Adı: MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.241-260
  • Anahtar Kelimeler: elastoplasticity, functionally graded material, rotating shaft, stress analysis, Tresca's criterion, SOLID SHAFT, RESIDUAL-STRESSES, FIXED ENDS, PRESSURE, CYLINDER, STRAIN, TUBE
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

analytical solutions to estimating the elastoplastic response of rotating functionally graded (FGM) hollow shafts with fixed ends are presented. The modulus of elasticity, as well as the uniaxial yield limit of the shaft material, are assumed to vary nonlinearly in the radial direction. The plastic model is based on Tresca's yield criterion, its associated flow rule, and ideal plastic material behaviour. Elastic, partially plastic, fully plastic, and residual stress states are investigated. It is shown that the elastoplastic stress response of a rotating FGM hollow shaft is affected significantly by the nonhomogeneity of the material. Unlike the case of a homogeneous hollow shaft, plastic deformation may commence at the inner surface, at the outer surface, or simultaneously at both surfaces. Accordingly, each case requires different mathematical treatment to arrive at its partially plastic solution. It is also shown that, by taking a numerical limit, the complete FGM solution presented herein converge to the solution of a homogeneous rotating shaft.