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Scaling of network segment dimensions in hyperelastic composites

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Authors
Plavšić, Milenko B.
Pajić-Lijaković, Ivana
Lazić, N
Article (Published version)
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Abstract
The change in elastomer tensile moduli, as formulated in the Gaussian statistical theory of rubber elasticity, with deformation, is considered both experimentally and theoretically. Gum elastomers of different structures and corresponding materials filled with carbon black, as reinforcing filler, are investigated experimentally. For all materials considered, the same scaling pattern with negative and low slope for small deformations, and positive and higher slope for large deformations is obtained, indicating two distinct mechanisms of elastic response. Most pronounced is the similarity of small deformation responses for filled materials. Considering the modulus as an elastic energy density gradient dependent on structure changes with deformation, and interpreting the changes for small deformations in terms of conformational energy change, the fractal dimension of a new type is formulated. It describes the decrease in elastomer network connectivity with deformations, which is discussed... in terms of conformon dynamics. Possibilities of application of Faynman's path integral method and statistical method of random walk to the lattice are considered for the conformon, as well.

Keywords:
conformation / conformon / elastomers / Feynman's path integral / fractal dimension / Green's function / hyperelasticitc materials / network connectivity / phonons / scaling theory
Source:
Materials Science Forum, 2005, 494, 463-468
Publisher:
  • 6th Conference of the Yugoslav Materials Research Society, YUCOMAT VI: Current Research in Advanced Materials and Processes

DOI: 10.4028/0-87849-971-7.463

ISSN: 0255-5476

PubMed:

WoS: 000230985800076

Scopus: 2-s2.0-35248830682
[ Google Scholar ]
URI
http://TechnoRep.tmf.bg.ac.rs/handle/123456789/714
Collections
  • Radovi istraživača / Researchers’ publications (TMF)
Institution/Community
Tehnološko-metalurški fakultet
TY  - JOUR
AU  - Plavšić, Milenko B.
AU  - Pajić-Lijaković, Ivana
AU  - Lazić, N
PY  - 2005
UR  - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/714
AB  - The change in elastomer tensile moduli, as formulated in the Gaussian statistical theory of rubber elasticity, with deformation, is considered both experimentally and theoretically. Gum elastomers of different structures and corresponding materials filled with carbon black, as reinforcing filler, are investigated experimentally. For all materials considered, the same scaling pattern with negative and low slope for small deformations, and positive and higher slope for large deformations is obtained, indicating two distinct mechanisms of elastic response. Most pronounced is the similarity of small deformation responses for filled materials. Considering the modulus as an elastic energy density gradient dependent on structure changes with deformation, and interpreting the changes for small deformations in terms of conformational energy change, the fractal dimension of a new type is formulated. It describes the decrease in elastomer network connectivity with deformations, which is discussed in terms of conformon dynamics. Possibilities of application of Faynman's path integral method and statistical method of random walk to the lattice are considered for the conformon, as well.
PB  - 6th Conference of the Yugoslav Materials Research Society, YUCOMAT VI: Current Research in Advanced Materials and Processes
T2  - Materials Science Forum
T1  - Scaling of network segment dimensions in hyperelastic composites
EP  - 468
SP  - 463
VL  - 494
DO  - 10.4028/0-87849-971-7.463
ER  - 
@article{
author = "Plavšić, Milenko B. and Pajić-Lijaković, Ivana and Lazić, N",
year = "2005",
abstract = "The change in elastomer tensile moduli, as formulated in the Gaussian statistical theory of rubber elasticity, with deformation, is considered both experimentally and theoretically. Gum elastomers of different structures and corresponding materials filled with carbon black, as reinforcing filler, are investigated experimentally. For all materials considered, the same scaling pattern with negative and low slope for small deformations, and positive and higher slope for large deformations is obtained, indicating two distinct mechanisms of elastic response. Most pronounced is the similarity of small deformation responses for filled materials. Considering the modulus as an elastic energy density gradient dependent on structure changes with deformation, and interpreting the changes for small deformations in terms of conformational energy change, the fractal dimension of a new type is formulated. It describes the decrease in elastomer network connectivity with deformations, which is discussed in terms of conformon dynamics. Possibilities of application of Faynman's path integral method and statistical method of random walk to the lattice are considered for the conformon, as well.",
publisher = "6th Conference of the Yugoslav Materials Research Society, YUCOMAT VI: Current Research in Advanced Materials and Processes",
journal = "Materials Science Forum",
title = "Scaling of network segment dimensions in hyperelastic composites",
pages = "468-463",
volume = "494",
doi = "10.4028/0-87849-971-7.463"
}
Plavšić, M. B., Pajić-Lijaković, I.,& Lazić, N.. (2005). Scaling of network segment dimensions in hyperelastic composites. in Materials Science Forum
6th Conference of the Yugoslav Materials Research Society, YUCOMAT VI: Current Research in Advanced Materials and Processes., 494, 463-468.
https://doi.org/10.4028/0-87849-971-7.463
Plavšić MB, Pajić-Lijaković I, Lazić N. Scaling of network segment dimensions in hyperelastic composites. in Materials Science Forum. 2005;494:463-468.
doi:10.4028/0-87849-971-7.463 .
Plavšić, Milenko B., Pajić-Lijaković, Ivana, Lazić, N, "Scaling of network segment dimensions in hyperelastic composites" in Materials Science Forum, 494 (2005):463-468,
https://doi.org/10.4028/0-87849-971-7.463 . .

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