Plane strain analytical solutions for a functionally graded elastic-plastic pressurized tube


Eraslan A. N. , Akis T.

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, vol.83, no.9, pp.635-644, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 83 Issue: 9
  • Publication Date: 2006
  • Doi Number: 10.1016/j.ijpvp.2006.07.003
  • Title of Journal : INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
  • Page Numbers: pp.635-644
  • Keywords: functionally graded material, stress analysis, elastoplasticity, Tresca's criterion, VARIABLE THICKNESS, HOLLOW CYLINDER, STRESSES

Abstract

Plane strain analytical solutions to functionally graded elastic and elastic-plastic pressurized tube problems are obtained in the framework of small deformation theory. The modulus of elasticity and the uniaxial yield limit of the tube material are assumed to vary radially according to two parametric parabolic forms. The analytical plastic model is based on Tresca's yield criterion, its associated flow rule and ideally plastic material behaviour. Elastic, partially plastic and fully plastic stress states are investigated. It is shown that the elastoplastic response of the functionally graded pressurized tube is affected significantly by the material nonhomogeneity. Different modes of plasticization may take place unlike the homogeneous case. It is also shown mathematically that the nonhomogeneous elastoplastic solution presented here reduces to that of a homogeneous one by appropriate choice of the material parameters. (c) 2006 Elsevier Ltd. All rights reserved.