Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: A modification of the extended tube model (METM) for the characterization of filled vulcanizates
Authors: Wrana, Claus
Eberlein, Robert
et. al: No
DOI: 10.5254/rct.24.00021
Published in: Rubber Chemistry and Technology
Issue Date: 20-Jul-2024
Publisher / Ed. Institution: Rubber Division, ACS
ISSN: 0035-9475
1943-4804
Language: English
Subject (DDC): 620: Engineering
Abstract: The aim of this study is to develop a material model for filled vulcanizates that is physically justifiable. This model builds upon the established extended tube model and is incorporated into a finite element program. The research demonstrates that the intrinsic deformation concept is inadequate for describing nonlinear deformation behavior under the assumption of incompressible, isotropic materials. Consequently, an alternative approach is proposed, employing a strain function rather than direct use of principal strains, to characterize reinforcement behavior. This strain function aligns with the first invariant of the right Cauchy-Green strain tensor over a wide deformation range. At minor deformations, the entanglements’ contribution is considered through an additional reinforcement term. The reinforcement function is depicted as a sum of three elements, each representing reinforcement at different strain levels: low, medium, and high. Experimental comparisons show that the Modified Extended Tube Model (METM) effectively captures the stress-strain response of filled systems across all deformation levels. Furthermore, the reinforcement function parameters, derived from fitting the METM to experimental data, offer a quantitative assessment of the fillers' reinforcing effects, while the extended tube model parameters reflect the network characteristics.
URI: https://digitalcollection.zhaw.ch/handle/11475/31223
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Organisational Unit: Institute of Mechanical Systems (IMES)
Published as part of the ZHAW project: Digitaler Zwilling von ROSTA Gummifederelementen
Appears in collections:Publikationen School of Engineering

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Wrana, C., & Eberlein, R. (2024). A modification of the extended tube model (METM) for the characterization of filled vulcanizates. Rubber Chemistry and Technology. https://doi.org/10.5254/rct.24.00021
Wrana, C. and Eberlein, R. (2024) ‘A modification of the extended tube model (METM) for the characterization of filled vulcanizates’, Rubber Chemistry and Technology [Preprint]. Available at: https://doi.org/10.5254/rct.24.00021.
C. Wrana and R. Eberlein, “A modification of the extended tube model (METM) for the characterization of filled vulcanizates,” Rubber Chemistry and Technology, Jul. 2024, doi: 10.5254/rct.24.00021.
WRANA, Claus und Robert EBERLEIN, 2024. A modification of the extended tube model (METM) for the characterization of filled vulcanizates. Rubber Chemistry and Technology. 20 Juli 2024. DOI 10.5254/rct.24.00021
Wrana, Claus, and Robert Eberlein. 2024. “A Modification of the Extended Tube Model (METM) for the Characterization of Filled Vulcanizates.” Rubber Chemistry and Technology, July. https://doi.org/10.5254/rct.24.00021.
Wrana, Claus, and Robert Eberlein. “A Modification of the Extended Tube Model (METM) for the Characterization of Filled Vulcanizates.” Rubber Chemistry and Technology, July 2024, https://doi.org/10.5254/rct.24.00021.


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