Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2016 (2016), Article ID 6568347, 6 pages.
Determination of the Creep Parameters of Linear Viscoelastic Materials
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: , singularity parameter; , fading parameter; , rheological parameter; and , 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 and are determined. At the second stage, using already known parameters and , parameters and 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.
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
Permanent link to this document
Digital Object Identifier
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. https://projecteuclid.org/euclid.jam/1471050608