Determining the Parameters of Fractional Exponential Hereditary Kernels for Nonlinear Viscoelastic Materials

V. P. Golub; Ya. V. Pavlyuk; П. В. Фернати

doi:10.1007/s10778-013-0562-1

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Determining the Parameters of Fractional Exponential Hereditary Kernels for Nonlinear Viscoelastic Materials

International Applied Mechanics 2013 6 citations ? Citation count from OpenAlex, updated daily. May differ slightly from the publisher's own count.

V. P. Golub, Ya. V. Pavlyuk, П. В. Фернати

Summary

Fractional-exponential hereditary kernels were determined for nonlinear viscoelastic materials including glass-reinforced plastics, with parameters validated against experimental creep data. This mathematical modeling work on polymer composite mechanical behavior does not address environmental microplastic pollution or associated health risks.

The parameters of fractional-exponential hereditary kernels for nonlinear viscoelastic materials are determined. Methods for determining the parameters used in the third-order theory of viscoelasticity and in nonlinear theories based on the similarity of primary creep curves and the similarity of isochronous creep curves are analyzed. The parameters of fractional-exponential hereditary kernels are determined and tested against experimental data for microplastic, TC-8/3-250 glass-reinforced plastics, SVAM glass-reinforced plastics. The results (tables and plots) are analyzed

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