Abstract
The stress-induced flow of non-Newtonian glass-forming systems is analysed in order to obtain a general algorithm for describing the kinetics of relaxation and retardation in glass-forming melts. It is shown that the existing empirical relations for plastic, pseudoplastic and dilatant flow can be derived in the framework of the Prandtl-Eyring potential barrier model, which is extended in order to include dilatant effects. The advantages and shortcomings of this molecular model are considered using experimental evidence on the flow of organic polymers, inorganic glasses and metal alloy glass-formers. It is shown that the mathematical formalism following from the potential barrier model can be conveniently used in order to derive the non-linear kinetics of relaxation of simple and polymer glass-forming melts.
Similar content being viewed by others
References
G. Morey, in “Properties of Glass” (Reinhold, New York, 1954) p. 169.
M. B. Beaver, in “Encyclopedia of Material Science and Engineering”, Vol. 4, “Mechanical Properties of Polymers” (Pergamon Press, Oxford, 1986) p. 2916.
O. V. Mazurin, in “Vitrification” (Nauka, Leningrad, 1986) in Russian.
A. Kovacs, J. Aklonis, J. Hutchinson and A. Ramos, Polym. Sci. 17 (1979) 1097.
L. Treloar, in “The Physic of Rubber Elasticity” (Clarendon Press, Oxford, 1949).
F. Kohlrausch, Pogg. Ann. Phys. Chem. 8 (1876) 332.
S. M. Rekhson and O. V. Mazurin, J. Amer. Ceram. Soc. 57 (1974) 327.
T. S. Chow, J. Mater. Sci. 25 (1990) 957.
G. Goldbach and G. Rehage, Reol. Acta 6 (1967) 30.
E. Jenckel, Z. Electrochem. Angew. Phys. Chem. 43 (1937) 796.
E. Jenckel, in “Die Physik der Hochpolymeren”, edited by A. A. Stuard, 3rd Edn (Springer Verlag, Berlin, 1955) p. 620.
E. G. Vostroknutov and G. V. Vinogradov, in “Rheological Foundations of Polymer Processing” (Izd. Chimia, Moscow, 1980) p. 16. in Russian.
A. Tobolsky, P. Powell and H. Eyring, in “Chemistry of High Molecules N2”, edited by V. A. Kargin (Inostr. Lit., Moscow, 1948) p. 206, in Russian.
M. Doi, J. Polym. Sci. Polym. Phys. 18 (1980) 1005.
Idem, J. Polym. Sci. Polym. Lett. 19 (1981) 265.
I. Gutzow, A. Dobreva and J. Schmelzer, J. Mater. Sci. 28 (1993) 901.
R. Houwink, in “Elastizitat, Plasticitat und Struktur der Materie” (Verl. Th. Steinkopff, Dresden, 1957) p. 69.
T. Alfrey, in “Mechanical Behaviour of High Polymers” (Academic Press, New York, 1948) Ch. 2.
S. Middlemann, in “The Flow of High Polymers” (Academic Press, New York, 1962) Ch. 4.
G. Vinogradov and A. Malkin, “Reology of Polymers” (Chimia, Moscow, 1977) p. 150, in Russian.
L. Prandtl, ZAMM 8 (1928) 85.
A. Freudenthal, in “Inelastisches Verhalten von Werkstoffen” (Techn, Berlin, 1955) pp. 109, 191.
S. Glasstone, K. Laidler and H. Eyring, in “The Theory of Rate Processes” (McGraw-Hill, London, 1941) pp. 480, 513.
W. Kauzmann and H. Eyring, J. Amer. Chem. Soc. 66 (1940) 3113.
T. Ree and H. Eyring, in “Rheology: Theory and Applications”, Vol. 2, edited by F. R. Eirich (Academic Press, New York, 1960) p. 83.
J. H. Li and D. R. Uhlmann, J. Non-Cryst. Solids 3 (1970) 127.
M. Goldstein, J. Chem. Phys. 51 (1969) 3728.
F. Bueche, in “Physical Properties of High Polymers” (Interscience, New York, 1962) p. 70.
W. Grassley, in “Entanglement Concept in Polymer Rheology”, Advances in Polymer Science, Vol. 16 (Springer, Berlin, 1974) p. 26.
M. Doi and S. F. Edwards, J. Chem. Soc. Farad. Trans. 2 74 (1978) 1789.
E. Janke, F. Emde and L. Losch, in “Tafeln hoherer Funktionen” 6 Edn. (Teubner, Stuttgart, 1960).
R. V. Torner, in “Theory of Polymer Processing” (Chimia, Moscow, 1972) p. 47, in Russian.
W. Ostwald, Kolloid Z. 47 (1929) 176.
Idem, ibid. 36 (1925) 99.
W. L. Willkinson, in “Non Newtonian Fluids, Fluid Mechanics, Mixing and Heat Transfer” (Pergamon Press, London, 1960) Ch. 1.
G. M. Bartenev, Vysoko Moleculiarnie Soedinenia 6 (1964) 2155.
D. M. Heyes, J. J. Kim, C. J. Montro and T. A. Litovitz, J. Chem. Phys. 73 (1980) 3987.
J. R. Partington, in “An Advanced Treatise on Physical Chemistry”, Vol. 2 (Longmans Green, London, 1955) p. 43.
A. Dobreva, D. Georgiev, A. Nikolov and I. Gutzow, paper submitted for publication.
R. Wäsche and R. Brückner, ibid. 27 (1986) 80.
K. Russew and I. Stoyanova, J. Mater. Sci. Engng A123 (1990) 80.
N. E. Gul and V. N. Kuleznev, in “Structure and Mechanical Properties of Polymers” (Vish. Shkola, Moscow, 1966) p. 171, in Russian.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gutzow, I., Dobreva, A. & Schmelzer, J. Rheology of non-Newtonian glass-forming melts. Journal of Materials Science 28, 890–900 (1993). https://doi.org/10.1007/BF00400871
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00400871