Abstract
Polymers are widely used in practice and have a number of unique rheological and physicomechanical properties [1– 5]. They differ from other substances in the size of their molecules, which are correctly called macromolecules. At temperatures above the glass transition temperature or melting point, a polymer system (concentrated solution or melt of a polymer) can be considered as a viscoelastic liquid whose behavior is determined by a system of weakly bound macromolecules. When a system is excited (mechanically or by heat), the macromolecules easily change their neighbors, but the intactness of each of them is not disturbed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ferry, J.D.Viscoelastic Properties of Polymers, 3rd ed., Wiley, New York, 1980.
deGennes, P.G. Scaling Concepts in Polymer Physics, Cornell Univ. Press, Ithaca, NY, 1979.
Gotlib, Yu.Ya., Dorinsky, A.A. and Svetlov, Yu.E.Fizicheskaya Kinetika Makromolekul (Physical Kinetics of Macromolecules), Khimiya, Moscow, 1986.
Lodge, A.S.Elastic Liquids, Academic Press, New York, 1964.
Doi, M. and Edwards, S.F.The Theory of Polymer Dynamics, Clarendon Press, Oxford, 1986.
Raju, V.R., Rachapudy, H. and Graessley, W.W.J. Polym. Sci, Polym. Phys. Ed., 17(7) (1979) 1223.
Yanovsky, Yu.G., Pokrovsky, V.N., Kokorin, Yu.K., et al. Polym. Sci. USSR, 30(5) (1988) 1037.
Lodge, T.P. and Schrag, J.L.Macromolecules, 15(5) (1982) 1376.
Bird, B.B., Armstrong, R.C. and Hassager, C.Dynamics of Polymeric Liquids, Wiley, New York, 1977.
Astarita, G. and Marrucci, G.Principles of Non-Newtonian Fluid Mechanics, McGraw-Hill, New York, 1974.
Graessley, W.W.Adv. Polym. Sci., 16(1) (1974) 1.
Rouse, P.E.J. Chem. Phys., 21(7) (1953) 1272.
Zimm, B.H.J. Chem. Phys., 24 (1956) 269.
Cerf, R.J. Phys. et Radium, 19(1) (1958) 122.
Peterlin, A.J. Polym. Sci., 5(A2) (1967) 179.
Busse, W.F.J. Phys. Chem, 36 (1932) 2862.
Ballard, D.G.H., Wignall, G.D. and Schelton, J.Eur. Polym. J. 9 (1973) 965.
Cotton, J.P., Decker, D., Benoit, H., et al. Macromolecules, 7(6) (1974) 863.
Flory, P.J.J. Chem. Phys., 17(3) (1949) 303.
Edwards, S.F.Proc. Phys. Soc., 91 (1967) 513.
Prager, S.J. Chem. Phys., 46(4) (1976) 1475.
Edwards, S.F. and Grant, J.W.V.J. Phys. A, 6(8) (1973) 1169.
Edwards, S.F. and Grant, J.W.V.J. Phys. A, 6(8) (1973) 1186.
deGennes, P.G.J. Chem. Phys., 55(3) (1971) 572.
Doi, M. and Edwards, S.F.J. Chem Soc., Faraday Trans., 74(10) (1978) 1789.
Doi, M. and Edwards, S.F.J. Chem Soc, Faraday Trans., 74(10) (1978) 1802.
Doi, M. and Edwards, S.F.J. Chem Soc, Faraday Trans., 74(10) (1978) 1818.
Pokrovsky, V.N. and Volkov, V.S.Vysokomol. Soed., 20(2) (1978) 255.
Pokrovsky, V.N. and Volkov, V.S.Vysokomol. Soed., 20(12) (1978) 2700.
Bueche, F.J. Chem. Phys., 20 (1952) 1959.
Bueche, F.J. Chem. Phys., 40(2) (1952) 484.
Pokrovsky, V.N. and Yanovsky, Yu.G.Rheol. Acta, 12(4) (1973) 280.
Pokrovsky, V.N.Statisticheskaya Mekhanica Razbavlennykh Suspenzii (Statistical Mechanics of Dilute Suspensions), Nauka, Moscow, 1978.
Tanner, J.Macromolecules, 4(6) (1971) 748.
Klein, I.Macromolcules, 11(5) (1978) 852.
Klein, I.Proc. Roy. Soc., London, 365A (1979) 53.
Klein, I.Macromolecules, 14(4) (1981) 460.
Leger, L., Hervet, H. and Rondeles, F.Macromolecules, 14(6) (1981) 1732.
Smith, B.A., Samulski, E.T., Vu, L.P., et al Phys. Rev. Lett., 52(1) (1984) 45.
Nemoto, N., et al. Macromolecules, 18(2) (1985) 308.
Fleischer, G.Polym. Bull., 9(2) (1983) 152.
VanNeerwall, E.D.Rubber Chem. and Techno., 58(3) (1985) 527.
Tirrell, M.Rubber Chem. and Technol., 57(3) (1985) 523.
Deschamps, H. and Leger, L.Macromolecules, 19(11) (1986) 2760.
Kranbuehl, D.E.Macromolecules, 18(8) (1985) 1638.
Marmonier, M.F.Phys. Rev. Lett., 55(10) (1985) 1078.
DesCloiseaux, J.J. Phys. Lett., 45(1) (1984) 17.
Volkov, V.S. and Vinogradov, G.V.Rheol. Acta, 23(3) (1984) 231.
Volkov, V.S. and Vinogradov, G.V.Vysokomol. Soed., 29A(12) (1987) 2602.
Grebner, B.L. and Pokrovsky, V.N.Vysokomol. Soed., 29B(9) (1987) 704.
Volkov, V.S. and Vinogradov, G.V.J. Non-Newtonian Fluid Meek., 25(3) (1987) 261.
Pokrovsky, V.N. and Kokorin, Yu.K.Vysokomol. Soed., 26B(8) (1984) 573.
Pokrovsky, V.N. and Kokorin, Yu.K.Vysokomol. Soed., 27B(10) (1985) 793.
Volkov, V.S., Pokrovsky, V.N. and Vinogradov, G.V.Vysokomol. Soed. ,28A(1)(1986) 117.
Pokrovsky, V.N. and Kokorin, Yu.K.Vysokomol. Soed., 29A(10) (1987) 2173.
Pushnograi, G. V. and Pokrovsky, V. N.Vysokomol. Soed., 30A(11)(1988) 2497.
Kokorin, Yu.K. and Pokrovsky, V.N.Vysokomol. Soed., 32A(12) (1990) 2409.
Pokrovsky, V.N. and Pushnograi, G.V.Mekhanika Zhidkosti i Gaza, 1 (1991) 71.
Flory, P.J.Principles of Polymer Chemistry, Cornell Univ. Press, Ithaca, NY, 1953.
Verdier, P.H.J. Chem. Phys., 45(6) (1966) 2122.
Kargin, V.A. and Slonimsky, G.L.DAN SSSR, 62(2) (1948) 239.
Al-Nosimi, G.F., Martines-Mekler, G.C. and Wilson, C.A., J. Phys. Lett., 39(1978) 373.
Freed, K.F. and Metin, H., J. Chem. Phys., 68 (1978) 4604.
Yanovsky, Yu.G., Vinogradov, G.V., Volkov, V.S.et al. In: Proceedings of International Congress on Rheology, Plenum Press, New York, 1980, p. 483.
Yanovsky, Yu.G., Vinogradov, G.V. and Ivanova, L.I., New Developments in Polymer Rheology, Inst. Petrochem. Sym., Moscow, 1980.
Vinogradov, G.V., Yanovsky, Yu.G. and Ivanova, L.I., Intern. J. Polym. Mater., 9 (1982) 257.
Montford, J.P., Marin, G., and Monge, Ph., Macromolecules, 17 (1984) 1551.
Daound, M., and deGennes, P.G.J. Polymer Sci., Polymer Phys. Ed., 17 (1979) 1971.
Ronca, G., J. Polym. Phys., 79 (1983) 1031.
Richter, D., Farago, B.K., Fetteas, L.J.et al. Phys. Rev. Letters, 64 (1990) 1389.
Privalko, V.P., Novikov, V.V. and Yanovsky, Yu.G.Osnovy Teplofiziki i Reofiziki Polimernykh sistem (Fundamentals of Thermophysics and Rheophysics of Polymer systems), Naukova Dumka, Kiev, 1990.
Bush, M.B. and Tanner, R.I.Int. J. Num. Meth. Fluids, 3 (1983) 71.
Mitsoulis, E. and Vlachopoulos, J. Adv. Polym. Technol., 4 (1984) 107.
Bush, M.B., Milthore, J.F. and Tanner, R.I.J. Non-Newtonian Fluid Mech., 22 (1987) 129.
Kistler, S.F. and Scrivenm, L.E.Int. J. Num. Meth. Fluids, 4 (1984) 207.
Marchal, J.M. and Crochet, M.J.J. Non-Newtonian Fluid Meek., 17 (1985) 157.
Malkus, D.S.Finite Element Methods for Viscoelastic Flow, Viscoelasticity and Rheology, Academic Press, New York, 1985.
Beris, A.N., Armstrong, R.C. and Brown, R.A.J. Non-Newtonian Fluid Mech., 22 (1987) 129.
Marchal, J.M. and Crochet, M.J.J. Non-Newtonian Fluid Mech., 26 (1987) 77.
Papanastasion, A.C., Scriven, L.E. and Macosko, C.W.J. Non-Newtonian Fluid Mech., 22 (1987) 271.
Mitsoulis, E. Numerical simulation of viscoelastic fluids. In: Encyclopedia of Fluid Mechanics, Ed. N.P. Cheremisinoff, Gulf Publishing, Houston, TX, 1990, Chapter 21.
VoigtW.Lehrbuch der Kristalphysik, Abhandl. Akad. Wiss, Gottingen, 1899.
Reuss, R.Z. Angew, Math, und Mech., 9(1) (1929) 49.
Nielsen, L.E.J. Appl. Polym. Sci., 21(6) (1977) 1579.
Carey, J.F.Polym. Eng. Sci., 25(16) (1985) 1017.
Manson, J.A. and Sperling, L.H.Polymer Blends and Composites, Plenum Press, New York, 1976.
Spathis, E.P. and Theocaris, P.S.Int. J. Adhesion and Adhesives, 1(4) (1981) 195.
Kerner, E.H.Proc. Phys. Soc., 69B (1956) 808.
Christensen, R.Mechanics of Composite Materials, Wiley, New York, 1979.
Lewis, T.B. and Nielsen, L.E.J. Appl. Polym. Sci., 14B (1970) 1449.
Nielsen, L.E.Ann. Phys., 41(11) (1970) 4626.
Takayanagi, M., Uemura, S. and Minami, S.J. Polym. Sci., 5(1) (1967) 113.
Kenunen, I.V., Volodin, V.P., Lishansky, I.C., et al. Mekhanika Komposit. Mater., 4 (1986) 746.
Prozelhof, R.C., Throne, J.H. and Ruetsch, R.R.Polym. Eng. Sci., 16(9) (1976) 615.
James, F.C.Polym. Eng. Sci., 25(16) (1985) 1017.
Iahai, O. and Cohen, H.J.Int. J. Mech. Sci., 9(3) (1987) 539.
TongSun, DajnnChen and HanxinZhon. J. China Text. Univ. ,5(1) (1988) 1.
Lipatov, Yu.S.Fiziko-khimiya Polimerov (Physicochemistry of Polymers), Khimiya, Moscow, 1975.
Sideridis, E.Comp. Sci. Technol, 37(2) (1986) 305.
Korsakov, Yu.K., Yartsev, I.K., Baranovsky, V.M., et al. Plastmassy, 12 (1980) 19.
Lipatov, Yu.S.Sintez i Modifikatsiya Polimerov (Synthesis and Modification of Polymers), Nauka, Moscow, 1976.
Birnstein, T.M., Skvortsova, A.M. and Sariban, A.A.Vysokomol. Soed. ,17A(11)(1975) 2558.
Skvortsova, A.M., Gorbunova, A.A., Zhulina, E.B., et al. Vysokomol. Soed., 20A(4) (1978) 816.
Dadivanian, A.K. and Agranova, S.A.Vysokomol. Soed., 22A(7) (1980) 1499.
Sarkisian, V.A., Asratian, M.G., Mhatarian, A.A., et al. Vysokomol. Soed., 27 (1985) 1331.
Rabotnov, Yu.N.Mekhanika Deformiruemogo Tver dogo Tela (Mechanics of Solid Deformation), Nauka, Moscow, 1988.
Brammeler, A., Allan, R. and Hemen, Ya.Slabozapolnenye Matritsy (Slightly Filled Matrices), Energiya, Moscow, 1975.
Segerlind, L.Applied Finite Element Analysis, Academic Press, New York, 1976.
Denisov, E.E.Geometrischeskii Smysl Anisotropnoi Teploprovodnosti (Geometric Interpretation of Anisotropic Heat Conduction), Msyl’, Minsk, 1987.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Yanovsky, Y.G. (1993). Some Theoretical and Numerical Approaches to Describing the Viscoelastic Properties of Polymer Systems. In: Polymer Rheology: Theory and Practice. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2116-3_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-2116-3_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4938-2
Online ISBN: 978-94-011-2116-3
eBook Packages: Springer Book Archive