Abstract
The topology of networks formed by random cross-linking of star polymers having A arms is investigated. It is shown that simple relationships exist between the molecular weight Mc between junctions, the number average molecular weight Mn of the primary star arms, the cycle rank ζ, the total number density μ/Vo of junctions, and the average junction functionality φav for regular networks having no defects other than chain ends. The revised Flory-Erman theory treating entanglements as restrictions on junction fluctuations is used to predict moduli and swelling equilibrium properties of cis-polyisoprene networks prepared from 3-arm and 4-arm polymers of varying Mn.
Similar content being viewed by others
Article PDF
References
J. P. Queslel and J. E. Mark, J. Chem. Phys., 82, 3449 (1985).
P. J. Flory, Proc. R. Soc. London, Ser. A, 351, 351 (1976).
J. P. Queslel and J. E. Mark, paper to be published.
P. J. Flory and B. Erman, Macromolecules, 15, 800 (1982).
V. R. Raju, H. Rachapudy, and W. W. Graessley, J. Polym. Sci., Polym. Phys. Ed., 17, 1223 (1979).
W. W. Graessley, Adv. Polym. Sci., 47, 67 (1982).
.W. W. Graessley, Macromolecules, 15, 1164 (1982).
W. W. Graessley and V. R. Raju, J. Polym. Sci., Polym. Symp., 71, 77 (1984).
P. J. Flory, Br. Polym. J., 17, 1 (1985).
P. J. Flory, Macromolecules, 15, 99 (1982).
J. Scanlan, J. Polym. Sci., 43, 501 (1960).
L. C. Case, J. Polym. Sci., 45, 397 (1960).
D. S. Pearson and W. W. Graessley, Macromolecules, 11, 528 (1978).
P. J. Flory and B. Erman, Macromolecules, 16, 595 (1983).
P. J. Flory, Chem. Rev., 35, 51 (1944).
J. P. Queslel and J. E. Mark, Polym. Bull., 12, 311 (1984).
B. Erman and P. J. Flory, Macromolecules, 15, 806 (1982).
B. Erman and P. J. Flory, Macromolecules, 16, 1607 (1983).
H. Pak and P. J. Flory, J. Polym. Sci., Polym. Phys. Ed., 17, 1845 (1979).
B. Erman, J. Polym. Sci., Polym. Phys. Ed., 19, 829 (1981).
B. Erman, J. Polym. Sci., Polym. Phys. Ed., 21, 893 (1983).
J. P. Queslel and J. E. Mark, Polym. Bull., 10, 119 (1983).
A. Abe and P. J. Flory, Macromolecules, 4, 219 (1971).
A. Abe and P. J. Flory, Macromolecules, 4, 230 (1971).
N. Hadjichristidis, X. Zhongde, and L. J. Fetters, J. Polym. Sci., Polym. Phys. Ed., 20, 743 (1982).
F. J. Ansorena, L. M. Revuelta, G. M. Guzmán, and J. J. Irvin, Eur. Polym. J., 18, 19 (1982).
J. Mays, N. Hadjichristidis, and L. J. Fetters, Macromolecules, 17, 2723 (1984).
B. E. Eichinger and P. J. Flory, Trans. Faraday Soc., 64, 2035 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Queslel, J., Mark, J. Structure and Elastic Properties of Networks Formed by Random Cross-Linking of Star Polymers. Polym J 18, 263–268 (1986). https://doi.org/10.1295/polymj.18.263
Issue Date:
DOI: https://doi.org/10.1295/polymj.18.263