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Numerical and experimental investigations of polymer viscoelastic materials obtained by 3D printing
ID Ibrulj, Jusuf (Author), ID Džaferović, Ejub (Author), ID Obućina, Murčo (Author), ID Kitek Kuzman, Manja (Author)

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Abstract
The aim of this research is to determine the relaxation and creep modulus of 3D printed materials, and the numerical research is based on the finite volume method. The basic material for determining these characteristics is ABS (acrylonitrile butadiene styrene) plastic as one of the most widely used polymeric materials in 3D printing. The experimental method for determining the relaxation functions involved the use of a creep test, in which a constant increase of the stress of the material was performed over time to a certain predetermined value. In addition to this test, DMA (dynamic mechanical analysis) analysis was used. Determination of unknown parameters of relaxation functions in analytical form was performed on the basis of the expression for the storage modulus in the frequency domain. The influence of temperature on the values of the relaxation modulus is considered through the determination of the shift factor. Shift factor is determined on the basis of a series of tests of the relaxation function at different constant temperatures. The shift factor is presented in the form of the WLF (Williams-Landel-Ferry) equation. After obtaining such experimentally determined viscoelastic characteristics with analytical expressions for relaxation modulus and shift factors, numerical analysis can be performed. For this numerical analysis, a mathematical model with an incremental approach was used, as developed in earlier works although with a certain modification. In the experimental analysis, the analytical expression for relaxation modulus in the form of the Prony series is used, and since it is the sum of exponential functions, this enables the derivation of a recursive algorithm for stress calculation. Numerical analysis was performed on several test cases and the results were compared with the results of the experiment and available analytical solutions. A good agreement was obtained between the results of the numerical simulation and the results of the experiment and analytical solutions.

Language:English
Keywords:relaxation modulus, creep modulus, viscoelasticity, numerical experimental method, Prony series
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:BF - Biotechnical Faculty
Publication status:Published
Publication version:Version of Record
Year:2021
Number of pages:24 str.
Numbering:Vol. 13, iss. 19, art. 3276
PID:20.500.12556/RUL-136328 This link opens in a new window
UDC:539.4
ISSN on article:2073-4360
DOI:10.3390/polym13193276 This link opens in a new window
COBISS.SI-ID:78897923 This link opens in a new window
Publication date in RUL:25.04.2022
Views:1326
Downloads:81
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Record is a part of a journal

Title:Polymers
Shortened title:Polymers
Publisher:Molecular Diversity Preservation International
ISSN:2073-4360
COBISS.SI-ID:517951257 This link opens in a new window

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.
Licensing start date:01.10.2021

Secondary language

Language:Slovenian
Keywords:modul relaksacije, modul lezenja, viskoelastičnost, numerične eksperimentalne metode, Pronyjeva vrsta

Projects

Funder:ARRS - Slovenian Research Agency
Project number:P4-0015
Name:Les in lignocelulozni kompoziti

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