Journal of Applied Mathematics

Determination of the Creep Parameters of Linear Viscoelastic Materials

Alibay Iskakbayev, Bagdat Teltayev, and Sergei Alexandrov

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Creep process of linear viscoelastic materials is described by the integral equation of Boltzmann-Volterra in which creep kernel is approximated by Rabotnov’s fractional exponential function. The creep equation contains four unknown parameters: α, singularity parameter; β, fading parameter; λ, rheological parameter; and ε0, conditionally instantaneous strain. Two-stage determination method of creep parameters is offered. At the first stage, taking into account weak singularity properties of Abel’s function at the initial moment of loading, parameters ε0 and α are determined. At the second stage, using already known parameters ε0 and α, parameters β and λ are determined. Analytical expressions for calculating these parameters are obtained. An accuracy evaluation of the offered method with using experimentally determined creep strains of material Nylon 6 and asphalt concrete showed its high accuracy.

Article information

J. Appl. Math., Volume 2016 (2016), Article ID 6568347, 6 pages.

Received: 9 March 2016
Accepted: 7 June 2016
First available in Project Euclid: 13 August 2016

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Iskakbayev, Alibay; Teltayev, Bagdat; Alexandrov, Sergei. Determination of the Creep Parameters of Linear Viscoelastic Materials. J. Appl. Math. 2016 (2016), Article ID 6568347, 6 pages. doi:10.1155/2016/6568347.

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