International Applied Mechanics

, Volume 49, Issue 1, pp 102–113 | Cite as

Determining the Parameters of the Hereditary Kernels of Nonlinear Viscoelastic Materials in Tension

  • V. P. Golub
  • Yu. M. Kobzar’
  • V. S. Ragulina

A method of determining the parameters of the hereditary kernels in a viscoelastic model with time-independent nonlinearity is tested. The parameters are determined by fitting the discrete values of the kernels that are obtained considering the similarity of isochronous creep curves and instantaneous deformation curve. The discrete values of the kernels in the zone of singularity are found using weight functions. The Abel function, a combination of power and exponential functions, and fractional-exponential functions are used as hereditary kernels. The method is tested by analyzing the creep, creep recovery, and stress relaxation in laminated composites, polymeric binders, and fiber reinforcements under uniaxial tension


nonlinear viscoelasticity parameters of heredity kernels creep stress relaxation similarity function discrete values of kernel weight function 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

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

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