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2016 Determination of the Creep Parameters of Linear Viscoelastic Materials
Alibay Iskakbayev, Bagdat Teltayev, Sergei Alexandrov
J. Appl. Math. 2016: 1-6 (2016). DOI: 10.1155/2016/6568347

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.

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Alibay Iskakbayev. Bagdat Teltayev. Sergei Alexandrov. "Determination of the Creep Parameters of Linear Viscoelastic Materials." J. Appl. Math. 2016 1 - 6, 2016. https://doi.org/10.1155/2016/6568347

Information

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

Digital Object Identifier: 10.1155/2016/6568347

Rights: Copyright © 2016 Hindawi

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