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International Applied Mechanics

, Volume 55, Issue 6, pp 601–619 | Cite as

Determining the Parameters of the Hereditary Kernels of Isotropic Nonlinear Viscoelastic Materials in Combined Stress State*

  • V. P. GolubEmail author
  • Yu. M. Kobzar’
  • P. V. Fernati
Article
  • 1 Downloads

The relations between the heredity kernels of isotropic nonlinear viscoelastic materials in combined and one-dimensional stress states are derived. The constitutive equations are presented in a form corresponding to the proportional deviator hypothesis. The nonlinearity of viscoelastic properties is described by Rabotnov’s type models. The creep strains and stress relaxation in thin-walled tubular elements subject to a combination of tension and torsion are determined and tested experimentally.

Keywords

nonlinear viscoelasticity isotropic material combined stress state proportional deviator hypothesis creep kernel stress relaxation kernel thin-walled tube element tension and torsion 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • V. P. Golub
    • 1
    Email author
  • Yu. M. Kobzar’
    • 1
  • P. V. Fernati
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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