Comparison of discontinuous damage models of Mullins-type

authored by: Alexander Ricker, Nils Hendrik Kröger, Peter Wriggers
Abstract: The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling is still a challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives a review on some widely used approaches, presents a classification, proves their thermodynamic consistency, and discusses reasonable modifications. To reduce the wide range of models, the choice is restricted to those which reproduce the idealised, discontinuous Mullins effect. Apart from the theoretical considerations, two compounds were produced and tested under cyclic uniaxial and equibiaxial tension as well as pure shear. Based on this experimental data, a benchmark that compares the fitting quality of the discussed models is compiled and favourable approaches are identified. The results are a sound basis for establishing novel or improving existing rubber models.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): German Institute of Rubber Technology (DIK e.V.)
Material Prediction GmbH
Type: Review article
Journal: Archive of applied mechanics
Volume: 91
Pages: 4097-4119
No. of pages: 23
ISSN: 0939-1533
Publication date: 10.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanical Engineering
Electronic version(s): https://doi.org/10.1007/s00419-021-02026-9 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{b63112da30834bfdb0ee5c62af476c21,
title = "Comparison of discontinuous damage models of Mullins-type",
abstract = "The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling is still a challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives a review on some widely used approaches, presents a classification, proves their thermodynamic consistency, and discusses reasonable modifications. To reduce the wide range of models, the choice is restricted to those which reproduce the idealised, discontinuous Mullins effect. Apart from the theoretical considerations, two compounds were produced and tested under cyclic uniaxial and equibiaxial tension as well as pure shear. Based on this experimental data, a benchmark that compares the fitting quality of the discussed models is compiled and favourable approaches are identified. The results are a sound basis for establishing novel or improving existing rubber models.",
keywords = "Experimental validation, Material modeling, Mullins effect, Rubber materials",
author = "Alexander Ricker and Kr{\"o}ger, {Nils Hendrik} and Peter Wriggers",
note = "Funding Information: We would like to thank Bayrak Lastik Sanayi ve Ticaret A.{\c S}., Freudenberg SE, Goodyear Innovation Center Luxembourg and Sch{\"u}co International KG for financial support, and in particular, Goodyear for providing the materials. Moreover, we greatly appreciated the fruitful discussion with Jan Plagge, University of Wuppertal, and Meike Gierig, Leibniz University Hannover.",
year = "2021",
month = oct,
doi = "10.1007/s00419-021-02026-9",
language = "English",
volume = "91",
pages = "4097--4119",
journal = "Archive of applied mechanics",
issn = "0939-1533",
publisher = "Springer Verlag",
number = "10",
}