Determination of the Creep Parameters of Linear Viscoelastic Materials

Alibay Iskakbayev, Bagdat Teltayev and Sergei Alexandrov

Journal of Applied Mathematics, 2016, vol. 2016, issue 1

Abstract: 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.

Date: 2016
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https://doi.org/10.1155/2016/6568347

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2016:y:2016:i:1:n:6568347

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