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

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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 considering 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.

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Authors and Affiliations

  1. Department of Civil Engineering, Atılım University, Ankara, İncek, 06836, Turkey

    Tolga Akis

  2. Department of Engineering Sciences, Middle East Technical University, Ankara, 06531, Turkey

    Ahmet N. Eraslan

Authors
  1. Tolga Akis
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  2. Ahmet N. Eraslan
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Correspondence to Ahmet N. Eraslan.

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Akis, T., Eraslan, A.N. Exact solution of rotating FGM shaft problem in the elastoplastic state of stress. Arch Appl Mech 77, 745–765 (2007). https://doi.org/10.1007/s00419-007-0123-3

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  • DOI: https://doi.org/10.1007/s00419-007-0123-3

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