Comparison of discontinuous damage models of Mullins-type

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

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  • Deutsches Institut für Kautschuktechnologie e.V. (DIK)
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OriginalspracheEnglisch
Seiten (von - bis)4097-4119
Seitenumfang23
FachzeitschriftArchive of applied mechanics
Jahrgang91
Ausgabenummer10
Frühes Online-Datum29 Aug. 2021
PublikationsstatusVeröffentlicht - Okt. 2021

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.

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Comparison of discontinuous damage models of Mullins-type. / Ricker, Alexander; Kröger, Nils Hendrik; Wriggers, Peter.
in: Archive of applied mechanics, Jahrgang 91, Nr. 10, 10.2021, S. 4097-4119.

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

Ricker A, Kröger NH, Wriggers P. Comparison of discontinuous damage models of Mullins-type. Archive of applied mechanics. 2021 Okt;91(10):4097-4119. Epub 2021 Aug 29. doi: 10.1007/s00419-021-02026-9
Ricker, Alexander ; Kröger, Nils Hendrik ; Wriggers, Peter. / Comparison of discontinuous damage models of Mullins-type. in: Archive of applied mechanics. 2021 ; Jahrgang 91, Nr. 10. S. 4097-4119.
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N1 - Funding Information: We would like to thank Bayrak Lastik Sanayi ve Ticaret A.Ş., Freudenberg SE, Goodyear Innovation Center Luxembourg and Schüco 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.

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AB - 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.

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