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Determination of the Creep Parameters of Linear Viscoelastic Materials
Joint Authors
Alexandrov, Sergei
Iskakbayev, Alibay
Teltayev, Bagdat
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 ε 0 , 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 ε 0 and α are determined.
At the second stage, using already known parameters ε 0 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.
American Psychological Association (APA)
Iskakbayev, Alibay& Teltayev, Bagdat& Alexandrov, Sergei. 2016. Determination of the Creep Parameters of Linear Viscoelastic Materials. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1107229
Modern Language Association (MLA)
Iskakbayev, Alibay…[et al.]. Determination of the Creep Parameters of Linear Viscoelastic Materials. Journal of Applied Mathematics No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1107229
American Medical Association (AMA)
Iskakbayev, Alibay& Teltayev, Bagdat& Alexandrov, Sergei. Determination of the Creep Parameters of Linear Viscoelastic Materials. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1107229
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107229