Abstract
The problems of phase formation and Ostwald ripening in materials behaving as viscoelastic media are considered. The current theories of phase formation and crystal growth have been developed for two limiting cases only: for Newtonian viscous fluids and for Hooke’s elastic solids. In solving the problems of phase formation and growth in real systems combining viscous and elastic properties a formal approach is used based on the relationships of phenomenological rheology and the models of viscoelastic media. The growth equations of the newly formed phase in viscoelastic systems are derived from the respective dependences in the case of a Newtonian fluid and the elastic reactions of the matrix are accounted for by introducing appropriate correction functions. The nature of these functions is determined assuming an analogy in the growth equations and the rate of deformation in viscoelastic media. The relationships thus obtained describe the kinetics of AgCl separation in photochromic glasses investigated in a previous contribution. The application of the results of the theory thus developed to other cases of phase segregation in viscoelastic systems especially in glass forming melts is discussed.
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References
I. GUTZOW, Contemp. Phys. 21 (1980), 121, 243.
I. GUTZOW, E. ZLATEVA, S. ALJAKOV and T. KOVATSCHEVA, J. Mater. Sci. 12 (1977) 1190.
I. PENKOV and I. GUTZOW, ibid. 19 (1984) 233.
J. J. HAMMEL, J. Chem. Phys. 46 (1967) 2234.
P. F. JAMES, Phys. Chem. Glasses 15 (1974) 5.
R. PASCOVA, I. GUTZOW and I. TOMOV, J. Mater. Sci. 25 (1990) 913.
J. E. STANWORTH, “Physical Properties of Glass” (Clarendon Press, Oxford, 1953) p. 178.
L. TRELOAR, “The Physics of Rubber Elasticity” (Clarendon Press, Oxford, 1949).
M. REINER, in “Rheology, Theory and Applications”, edited by F.R. Eirich, Vol. 1 (Academic Press, New York, 1956) Ch. 2.
T. ALFREY, “Mechanical Behaviour of High Polymers” (Interscience, New York, 1955) p. 53.
A. M. FREUDENTHAL, “Inelastic Behaviour of Engineering Materials and Structures” (John Wiley, New York, 1955) Ch. 6.
W. L. WILLKINSON, “Non-Newtonian Fluids” (Pergamon Press, New York, 1960).
R. HAASE, “Thermodynamik der Irreversiblen Prozesse” (Steinkopf, Darmstadt, 1963).
J. MEIXNER, Kolloid Z. 134 (1953) 3.
U. DEHLINGER, “Theoretische Metallkunde” (Springer, Berlin — Goetingen, 1955) p. 25.
A. V. TOBOLSKY, “Properties and Structure of Polymers” (John Wiley, New York, 1960) Ch. 1.
L. D. LANDAU and E. M. LIFSHITZ, “Mekhanika Sploshnich Sred”, 2nd edition (Gostechizdat, Moskva, 1953) p. 78.
S. M. KARIM and L. ROSENHEAD, Rev. Modern Phys. 24 (1952) 108.
J. FRENKEL, “Kinetics Theory of Liquids” (Dover, New York, 1955) Ch.4.
S. GLASSTONE, K. J. LAIDLER and H. EYRING, “Theory of Rate Processes” (McGraw Hill, New York, 1941) p. 517.
J. B. ZELDOVICH, Acta Phys-Chim. URSS 18 (1943) 1.
J. FEDER, K. C. RUSSEL, J. LOTHE and G. M. POUND, Adv. Phys. 15 (1966) 111.
D. KASHCHIEV, Surf. Sci. 14 (1969) 209, 18 (1969) 389.
R. PASCOVA, I. PENKOV and I. GUTZOW, Proceedings Ninth National Conference on Glass and Fine Ceramics, Warna, 1987.
I. GUTZOW and S. TOSCHEV, Kristal u. Technik 3 (1968) 485.
S. V. NEMILOV, Neorg. Mater. 2 (1966) 349.
I. M. LIFSHITZ and V. V. SLYOZOV, J. Phys. Chem. Solids 19 (1961) 35.
E. M. LIFSHITZ and L. P. PITAEVSKI, “Fizitsheskaja Kinetika” (Nauka, Moskva, 1979) p. 509.
C. WAGNER, Z. Elektrochem. Ber. Bunsenges. Phys. Chem. 65 (1961) 581.
R. R. MALININ, K. K. EVSTROPEV and V. A. TSEKHOMSKIJ, Zh. Prikl. Khim. 45 (1972) 184.
I. FANDERLIK, Sklar a Keramik 23 (1973) 165.
J. ZARZYCKY and F. NAUDIN, Phys. Chem. Glasses 8 (1967) 11.
I. GUTZOW, J. SCHMELZER, R. PASCOVA and B. POPOV, Third International Conference “Irreversible Processes and Dissipative Structures”, Rostock, 1985, p. 22.
J. SCHMELZER and I. GUTZOW, Wiss. Z. WPU Rostock, N-Reihe 35 (1986) 5.
G. S. GALAKHOVA, M. N. PAVLUSHKIN and M. V. ARTAMONOVA, Trudy Mosk. Khim. Techn. Inst. im. Mendeleeva 63 (1969) 8.
J. J. HAMMEL and T. E. MCGARY, in “Reactivity of Solids”, edited by J. W. Mitchell (Wiley, New York, 1969) p. 695.
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Pascova, R., Gutzow, I. & Schmelzer, J. A model investigation of the process of phase formation in photochromic glasses. J Mater Sci 25, 921–931 (1990). https://doi.org/10.1007/BF03372180
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DOI: https://doi.org/10.1007/BF03372180