Abstract
A fractal model enabling one to predict the parameters of the supermolecular structure of network polymers based on the cross‐link density has been proposed. A cluster model of the amorphous state of polymers has been employed for quantitative description. Good agreement between theory and experiment has been obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
P. Meakin, Formation of Fractal Cluster and Networks by Irreversible Diffusion-Limited Aggregation, Phys. Rev. Lett., 51,No. 13, 1119–1122 (1983).
M. Kolb, R. Botet, and R. Jullien, Scaling of Kinetically Growing Clusters, Phys. Rev. Lett., 51,No. 13, 1123–1126 (1983).
F. Family, Self-Similarity in Irreversible Kinetic Gelation, Phys. Rev. Lett., 51,No. 23, 2112–2115 (1983).
V. I. Irzhak, B. A. Rozenberg, and N. S. Enikolopyan, Cross-Linked Polymers. Synthesis, Structure, and Properties, [in Russian], Nauka, Moscow (1979).
G. V. Kozlov, V. A. Beloshenko, I. V. Stroganov, and and Yu. S. Lipatov, Interrelation between the Change in the Vitrification Temperature and the Structure of Cross-Linked Polymers in Thermal Aging, Dokl. Nats. Akad. Nauk Ukrainy, No. 10, 117–118 (1995).
G. V. Kozlov, V. A. Beloshenko, V. N. Varyukhin, and Yu. S. Lipatov, Application of Cluster Model for the Description of Epoxy Polymer Structure and Properties, Polymer, 40, 1045–1051 (1999).
G. V. Kozlov and V. U. Novikov, Cluster Model of the Amorphous State of Polymers, Usp. Fiz. Nauk, 17,No. 7, 717–764 (2001).
G. V. Kozlov and V. U. Novikov, Synergetics and Fractal Analysis of Cross-Linked Parameters, [in Russian], Klassika, Moscow (1998).
V. A. Beloshenko and G. V. Kozlov, Application of a Cluster Model to Description of the Fluidity of Epoxy Polymers, Mekh. Kompozitn. Mater., 30,No. 4, 451–454 (1994).
V. A. Beloshenko, M. K. Pakter, B. I. Beresnev, T. P. Zaika, V. G. Slobodina, and V. M. Shepel', Properties of Epoxy Polymers Modified by Hydrostatic Treatment, Mekh. Kompozitn. Mater., 26,No. 2, 195–199 (1990).
G. V. Kozlov and D. S. Sanditov, Anharmonic Effects and Physicomechanical Properties of Polymers [in Russian], Nauka, Novosibirsk (1994).
A. S. Balankin, Synergetics of a Deformable Body [in Russian], MO SSSR, Moscow (1991).
A. J. Katz and A. H. Thompson, Fractal Sandstone: Implications for Conductivity and Pore Formation, Phys. Rev. Lett., 54,No. 12, 1325–1328 (1985).
S. Wu, Chain Structure and Entanglement, J. Polym. Sci.: Pt. B: Polym. Phys., 27,No. 4, 723–741 (1989).
V. P. Budtov, Physical Chemistry of Polymer Solutions [in Russian], Khimiya, St. Petersburg (1992).
G. V. Kozlov, V. N. Belousov, V. D. Serdyuk, and É. N. Kuznetsov, Defects of the Structure of the Amorphous State of Polymers, Fiz. Tekh. Vys. Davlenii, 5,No. 3, 59–64 (1995).
B. M. Smirnov, Fractal Clusters, Usp. Fiz. Nauk, 149,No. 2, 177–219 (1986).
P. J. Flory, Molecular Theory of Rubber Elasticity, Polymer J., 17,No. 1, 1–17 (1985).
G. V. Kozlov, M. A. Gazaev, V. U. Novikov, and A. K. Mikitaev, Behavior of Dissipative Structures in Deformable Polymeric Matrices, No. 2944-V95, Dep. at VINITI on 03.11.1995, Moscow (1995).
G. V. Kozlov, V. A. Beloshenko, M. A. Gazaev, and V. N. Varyukhin, Fluidity and Fractality of Different Structural Levels of Cross-Linked Polymers, Fiz. Tekh. Vys. Davlenii, 5,No. 1, 74–80 (1995).
G. V. Kozlov, M. A. Gazaev, V. U. Novikov, and A. K. Mikitaev, Fractal Physics of Formation of the Topology and Structure of Polymers, No. 3072-V95, Dep. at VINITI on 21.11.1995, Moscow (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Burya, A.I., Kozlov, G.V. & Zaikov, G.E. Prediction of the Parameters of the Supermolecular Structure of Network Polymers within the Framework of Fractal Models. Journal of Engineering Physics and Thermophysics 77, 126–131 (2004). https://doi.org/10.1023/B:JOEP.0000020727.22867.f2
Issue Date:
DOI: https://doi.org/10.1023/B:JOEP.0000020727.22867.f2