Exact solution of rotating FGM shaft problem in the elastoplastic state of stress


Akis T., Eraslan A. N.

ARCHIVE OF APPLIED MECHANICS, vol.77, no.10, pp.745-765, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 77 Issue: 10
  • Publication Date: 2007
  • Doi Number: 10.1007/s00419-007-0123-3
  • Title of Journal : ARCHIVE OF APPLIED MECHANICS
  • Page Numbers: pp.745-765
  • Keywords: functionally graded material, elastoplasticity, stress analysis, rotating shaft, Tresca's criterion, ELASTIC-PLASTIC TUBE, SOLID SHAFT, RESIDUAL-STRESSES, FIXED ENDS, PRESSURE, CYLINDER, STRAIN, YIELD

Abstract

Plane strain analytical solutions to estimate purely elastic, partially plastic and fully plastic deformation behavior of rotating functionally graded (FGM) hollow shafts are presented. The modulus of elasticity of the shaft material is assumed to vary nonlinearly in the radial direction. Tresca's yield criterion and its associated flow rule are used to formulate three different plastic regions for an ideal plastic material. By considerina different material compositions as well as a wide range of bore radii, it is demonstrated in this article that both the elastic and the elastoplastic responses of a rotating FGM hollow shaft are affected significantly by the material nonhomogeneity.