Details
| Original language | English |
|---|---|
| Pages (from-to) | 4097-4119 |
| Number of pages | 23 |
| Journal | Archive of applied mechanics |
| Volume | 91 |
| Issue number | 10 |
| Early online date | 29 Aug 2021 |
| Publication status | Published - Oct 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.
Keywords
- Experimental validation, Material modeling, Mullins effect, Rubber materials
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
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In: Archive of applied mechanics, Vol. 91, No. 10, 10.2021, p. 4097-4119.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - Comparison of discontinuous damage models of Mullins-type
AU - Ricker, Alexander
AU - Kröger, Nils Hendrik
AU - Wriggers, Peter
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.
PY - 2021/10
Y1 - 2021/10
N2 - 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.
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.
KW - Experimental validation
KW - Material modeling
KW - Mullins effect
KW - Rubber materials
UR - http://www.scopus.com/inward/record.url?scp=85113744937&partnerID=8YFLogxK
U2 - 10.1007/s00419-021-02026-9
DO - 10.1007/s00419-021-02026-9
M3 - Review article
AN - SCOPUS:85113744937
VL - 91
SP - 4097
EP - 4119
JO - Archive of applied mechanics
JF - Archive of applied mechanics
SN - 0939-1533
IS - 10
ER -