Abstract
It is emphasized that considerable advances have been made recently in the development of the molecular theories of nonlinear viscoelasticity of concentrated solutions and melts of linear polymers. The new ideas in this exceptionally important field of the rheology of polymers are analysed. The methods by which the constraints (entanglements) imposed on the motion of macromolecules by the polymer environment are taken into account are also considered in the paper. The most detailed discussion is devoted to the model of topological constraints in the form of a tube and to the self-consistent theory of anisotropic micro-viscoelasticity which takes into account the relaxation nature of the interaction of macromolecules with their surrounding medium as well as the anisotropy of their mobility.
Similar content being viewed by others
References
Pokrovskii VN, Volkov VS (1978) Polymer Sci USSR (Engl Transl) 20:2700
Volkov VS (1982) Int J Polym Mater 9:115
Giesekus H (1966) Rheol Acta 5:29
Doi M, Edwards SF (1978) J. Chem Soc, Faraday Trans II 74:1789
Doi M, Edwards SF (1979) J Chem Soc, Faraday Trans II 75:38
Curtiss CF, Bird RB (1981) J Chem Phys 74:2016
Bird RB, Saab HH, Curtiss CF (1982) J Phys Chem 86:1102
Edwards SF (1967) Proc Phys Soc 92:9
De Gennes PG (1971) J Chem Phys 55:572
De Gennes PG (1979) Scaling Concepts in Polymer Physics, Cornell University, Ithaka, NY
Green MS, Tobolsky AV (1946) J Chem Phys 14:80
Lodge AS (1956) Trans Farad Soc 52:120
Yamamoto M (1956) J Phys Soc Japan 11:413
Onogi S, Masuda T, Kitagava K (1970) Macromolecules 3:109
Graessley WW (1974) Adv Polym Sci 16:1
Bernstein B, Kearsley EA, Zapas LJ (1963) Trans Soc Rheol 7:391
Wyman DP, Elyash LG, Frazer WJ (1965) J Polym Sci A 3:681
Stratton RA (1966) J Colloid Interface Sci 22:517
Kraus G, Gruver T (1969) Trans Soc Rheol 13:315
Vinogradov GV (1974) Pure Applied Chem 39:115
Vinogradov GV, Pikhman VD, Radushkevich BV, Malkin AYa (1970) J Polym Sci A 8:657
Münstedt H, Laun HM (1981) Rheol Acta 20:211
Curtiss GF, Bird RB, Hassager O (1976) Adv Chem Phys 35:31
Bird RB, Hassager O, Armstrong RC, Curtiss CF (1977) Dynamics of Polymeric Liquids, Vol II. Kinetic Theory. NY: Wiley
Rubo R (1966) Rep Prog Phys 29:255
Kargin VA, Slonimsky GL (1948) Doklady Acad Nauk SSSR 62:239
Rouse PE (1953) J Chem Phys 21:1272
Volkov VS (1982) Prikl Mat and Mekh 46:248
Stratanovich RL (1970) Journ Moscow University, Ser 3, Phys, Astronom 5:479
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Volkov, V.S., Vinogradov, G.V. Molecular theories of nonlinear viscoelasticity of polymers. Rheol Acta 23, 231–237 (1984). https://doi.org/10.1007/BF01332187
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01332187