Abstract
An exposition is presented of a phenomenological theory of dielectric relaxation. A brief review is given of the existing procedures for finding the distribution function of the dielectric relaxation times. A procedure is suggested for determining the distribution of the relaxation times of polymer materials from an experimentally measured current-decay function by means of the numerical solution of an integral equation on a computer.
Similar content being viewed by others
Literature cited
G. M. Bartenev and Yu. V. Zelenev, "Mechanisms of relaxation processed in polymers," Mekh. Polim., No. 1, 107–125 (1975).
Relaxation Phenomena in Polymers [in Russian], Leningrad (1972).
G. P. Mikhailov and T. I. Borisova, "Molecular motion in polymers," Usp. Fiz. Nauk.,83, No. 1, 63–79 (1964).
N. G. McCrum, B. E. Read, and Williams, Anelastic and Dielectric Effects in Polymer Solids, London (1967), p. 617.
G. P. Mikhailov and T. I. Borisova, "Investigations of molecular relaxation in polymers by the dielectric method," Usp. Khim.,30, No. 7, 894–913 (1961).
Electrical Properties of Polymers [in Russian], Leningrad (1970).
H. Frolich, The Theory of Dielectrics: Dielectric Constant and Dielectric Loss, 2nd ed., Oxford University Press (1958).
K. S. Cole and R. H. Cole, "Dispersion and absorption in dielectrics. 1. Alternating current characteristics," J. Chem. Phys.,9, No. 4, 341–351 (1941).
W. A. Yager, "The distribution of relaxation times in typical dielectrics," Physics,7, 434–450 (1963).
R. M. Fuoss and J. G. Kirkwood, "Electrical properties of solids," J. Amer. Chem. Soc.,63, 385–394 (1941).
D. W. Davidson and R. H. Cole, "Dielectric relaxation in glycerine," J. Chem. Phys.,18, No. 10, 1417–1418 (1950).
D. W. Davidson and R. H. Cole, "Dielectric relaxation in glycerol, propylene, glycol, and n-propanol," J. Chem. Phys.,19, No. 12, 1484–1490 (1951).
S. Havriliak and S. Negami, "A complex plane representation of dielectric and mechanical relaxation processes in some polymers," Polymer,8, No. 4, 161–310 (1967).
V. D. Shtraus, "Possibilities of the automation of the determination of the frequency spectrum of dielectrics by the method of analyzing the absorption current," in: Methods and Instruments of Automatic Control [in Russian], No. 13, Riga (1975), pp. 77–87.
G. Tomandl, "Electrical and mechanical relaxation in glass," Glastechnische Berichte, No. 10, 439–455 (1966).
G. Tomandl, "Distribution of electrical relaxation times, determined from current decay curves on alkali-containing silicate glasses," J. Non-Crystalline Solids, No. 14, 101–111 (1974).
J. D. Ferry, Viscoelastic Properties of Polymers, 2nd ed., Wiley (1970).
Yu. S. Urzhumtsev, A. V. Putans, and Z. V. Kalnroze, "Approximation of relaxation spectra," Mekh. Polim., No. 4, 686–695 (1967).
G. M. Bartenev, L. A. Shelkovnikova, and L. A. Akopyan, "The problem of relaxation time spectra in polymers," Mekh. Polim., No. 1, 151–154 (1973).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Moscow (1975).
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Moscow-Leningrad (1952).
Additional information
Institute of the Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 2, pp. 348–353, March–April, 1976.
Rights and permissions
About this article
Cite this article
Shtraus, V.D. Determination of the distribution function of the dielectric relaxation times of polymer materials. Polymer Mechanics 12, 303–308 (1976). https://doi.org/10.1007/BF00856470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00856470