The effect of different numerical approaches on the accuracy of calculating relaxation spectra for polysaccharides

Nikonov, Anatolij (author), Florjančič, Urška (author)

For polymeric materials, the relaxation spectrum contains complete information about the time-dependent part of the material response. The contribution of different numerical schemes, i.e., different methods of reconstructing the dynamic relaxation modulus, to the accuracy of the approximation by calculating the corresponding relaxation spectra is investigated by analysing experimental data for four types of polysaccharides. It was found that there is no unique mathematical approach for the calculation of relaxation spectra that ensures a satisfactory approximation of the experimentally determined dynamic moduli for the selected types of polymeric materials. It is recommended to combine different numerical methods in parallel to achieve a reasonable approximation of the material functions.

• Language: English
• Keywords: polysaccharide, rheology, viscoelastic properties, relaxation spectrum, mathematical modelling
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: Str. 91-100
• Numbering: Vol. 70
• PID: 20.500.12556/RUL-144715
• UDC: 539.3:519.6
• ISSN on article: 1318-0207
• DOI: 10.17344/acsi.2023.7861
• COBISS.SI-ID: 144548099
• Publication date in RUL: 09.03.2023

Record is a part of a journal

• Title: Acta chimica slovenica
• Shortened title: Acta chim. slov.
• Publisher: Slovensko kemijsko društvo, =Slovenian Chemical Society
• ISSN: 1318-0207
• COBISS.SI-ID: 14086149

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian

Abstract

Pri polimernih materialih relaksacijski spekter vsebuje popolne informacije o časovno odvisnem delu odziva materiala. Z analizo eksperimentalnih podatkov za štiri vrste polisaharidov raziskujemo prispevek različnih numeričnih shem, tj. različnih metod rekonstrukcije dinamičnega relaksacijskega modula, k natančnosti aproksimacije z izračunom pripadajočih relaksacijskih spektrov. Ugotovljeno je bilo, da ne obstaja edinstven matematični pristop za izračun relaksacijskih spektrov, ki bi zagotavljal zadovoljivo aproksimacijo eksperimentalno določenih dinamičnih modulov za izbrane vrste polimernih materialov. Priporočljivo je vzporedno kombinirati različne numerične metode, da dosežemo razumno aproksimacijo funkcij materiala.

• Keywords: polisaharidi, reologija, viskoelastične lastnosti, relaksacijski spekter, matematično modeliranje