Scaling of network segment dimensions in hyperelastic composites
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 theorySource:
Materials Science Forum, 2005, 494, 463-468Publisher:
- 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
Institution/Community
Tehnološko-metalurški fakultetTY - 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 . .