Effects of the Size of Fillers on Viscoelasticity in the Glassy State of Poly(styrene-<i>co</i>-butadiene) Reinforced by Carbon Black
We investigated how the particle size of carbon black (CB) affects the reinforcement of CB to vulcanized poly(styrene-co-butadiene) (SBR) in the glassy state. When the average diameter of CB d is larger than 100 nm, the enhancement of the modulus can be expressed by the Eshelby/Mori–Tanaka model, which agrees with the results obtained for an SBR/silica system. On the other hand, at d < 100 nm, the volume fraction dependence of the enhancement becomes stronger than the theory’s prediction. The scattering studies on the SBR/CB systems revealed that the aggregates of CB at d < 100 nm consist of densely packed CB, while the aggregates of CB at d > 100 nm exhibit branch structures. At d < 100 nm, the voids or the occluded region in the packed CB increase the volume fraction, resulting in a stronger volume fraction dependence of the enhancement.
Authors
- Yuki Watanabe (ORCID: https://orcid.org/0000-0002-0552-807X)
- Ryuhei Motokawa (ORCID: https://orcid.org/0000-0001-5010-0112)
- Tsukasa Miyazaki (ORCID: https://orcid.org/0000-0002-9124-2819)
- Tsuyoshi Sugita (ORCID: https://orcid.org/0000-0002-2036-0551)
- Kazuki Mita (ORCID: https://orcid.org/0000-0001-9508-1621)
- Takayuki Kumada (ORCID: https://orcid.org/0000-0002-0154-8524)
- Motoki Shibata (ORCID: https://orcid.org/0000-0003-1771-4248)
- Hitoshi IWABUKI
- Daiki Kumagawa
- Katsuhiro Yamamoto (ORCID: https://orcid.org/0000-0003-1111-4735)
- Tadashi Inoue (ORCID: https://orcid.org/0000-0002-9934-1299)
- Yuki Ueda (ORCID: https://orcid.org/0000-0001-8426-4537)
- Mikihito Takenaka (ORCID: https://orcid.org/0000-0002-6803-048X)
- Y. Nakanishi (ORCID: https://orcid.org/0000-0001-9081-243X)
- Shu Karitani
Institutions
- Japan Atomic Energy Agency (JP)
- Nagoya Institute of Technology (JP)
- Kyoto University (JP)
- Division of Materials Research (US)
- Comprehensive Research Organization for Science and Society (JP)
- Kyoto Katsura Hospital (JP)
- Instituto de Investigaciones Químicas (ES)
- Industrial Technology Center of Okayama Prefecture (JP)
- The University of Osaka (JP)
Publication Details
- Journal
- Macromolecules
- Published
- 2025-08-11
- DOI
- https://doi.org/10.1021/acs.macromol.5c01357
- Primary Topic
- Polymer Nanocomposites and Properties
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science