A heuristic study of the Mullins effect in reinforced rubber by using the Weibull distribution

Nobuoka, Hiroaki; Urakawa, Osamu; Inoue, Tadashi

Polymer Journal, 2025

Number of Access:26（2025-09-04 06:42 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/102257

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Title
A heuristic study of the Mullins effect in reinforced rubber by using the Weibull distribution
Creator
CreatorName
Nobuoka, Hiroaki
NRID
1000070273539 1000070273539
ORCID
0000-0001-5071-208X 0000-0001-5071-208X
researchmap permalink
read0183986 read0183986
Scopus Author ID
7003580749 7003580749
CreatorName
Urakawa, Osamu
NRID
1000080201937 1000080201937
ORCID
0000-0002-9934-1299 0000-0002-9934-1299
researchmap permalink
rheology_1 rheology_1
Scopus Author ID
7501386953 7501386953
CreatorName
Inoue, Tadashi
Description
Nobuoka H., Urakawa O., Inoue T.. A heuristic study of the Mullins effect in reinforced rubber by using the Weibull distribution. Polymer Journal (2025); https://doi.org/10.1038/s41428-025-01056-2.
Abstract
Stress softening, known as the Mullins effect, has a significant effect on the durability and performance of filler-reinforced rubber, making it a critical issue in designing products for practical applications. While empirical equations are widely used, they fail to capture the intricate and nonlinear behaviors that are characteristic of filler-reinforced rubber. To address this limitation, this study developed a simplified equation to predict the Mullins effect. The model is based on the assumption that the Mullins effect originates from the destruction of particle aggregation structures, and the relationship between the degree of destruction and the stretch ratio is expressed using extreme value statistics. Validation against experimental data revealed that the equation accurately predicts the behavior of rubber reinforced with carbon black (CB) or silica. Additionally, in systems with CB-filled rubber, the equation demonstrated good agreement with the experimental results, even when the CB content was varied. These findings suggest that the proposed model is versatile and effective for predicting the Mullins effect under different conditions, providing a useful tool for understanding and optimizing the performance of filler-reinforced rubber in practical applications.
Publisher
Springer Nature
Source Title
Polymer Journal
Date of Issued
2025-06-09
Language
English
Handle URL
https://hdl.handle.net/11094/102257
PISSN
00323896
eISSN
13490540
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.1038/s41428-025-01056-2
Access Rights
open access
CopyRight
This article is licensed under a Creative Commons Attribution 4.0 International License.
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Category
学術雑誌論文 Journal Article