Abstract:
The stress relaxation and creep in amorphous materials, the dielectric relaxation in conducting polymers, the spin relaxation in spin‐glasses, are examples of processes described by the mathematical formalism of the theory of linear viscoelasticity. This description, given by a spectrum or distribution function, allows to express the temporal evolution of the relaxation through integral transformations. In many cases, however, this evolution is given directly using the empirical expression exp [—;(t/τ)γ], known as fractional exponential behaviour, where τ is a characteristic relaxation time and γ is a constant (0 < γ ≦ 1). It is shown that this empirical expression can be derived from the modified anelastic element (MAE) whose relaxation time depends on the time of the quasistatic test. From this dependence the spectrum for the MAE is calculated and correlated with the log—normal distribution. A novel procedure to calculate the parameters of the MAE is presented and applied to stress relaxation curves. Copyright © 1995 WILEY‐VCH Verlag GmbH & Co. KGaA
Referencias:
- Nowick, A.S., Berry, B.S., (1972) Anelastic Relaxation in Crystalline Solids, , Academic Press, New York
- Povolo, F., (1990) Res. Mech., 31, p. 343
- Povolo, F., (1991) Mater. Trans. JIM, 32, p. 1141
- Povolo, F., Hermida, Analysis of Stress Relaxation and Creep Curves for a Log-Normal Distribution of Relaxation Times (1989) physica status solidi (b), 151, p. 71
- Hermida, Description of the Mechanical Properties of Viscoelastic Materials Using a Modified Anelastic Element (1993) physica status solidi (b), 178, p. 311
- Bronshtein, I.N., Semendyaev, K.A., (1979) Handbook of Mathematics, , Verlag Harri Deutsch, Frankfurt
- Nowick, A.S., Berry, B.S., Lognormal Distribution Function for Describing Anelastic and Other Relaxation Processes I. Theory and Numerical Computations (1961) IBM Journal of Research and Development, 5, p. 297
- Schwartz, G., (1995), Master Thesis, University of Buenos Aires; Prudnikov, A.P., Brychkov, Yu.A., Marichev, O.I., (1992) Integrals and Series, 5. , Gordon & Breach, Amsterdam
- Gradshteyn, I.S., Ryzhik, I.M., (1965) Table of Integrals, Series, and Products, , Academic Press, New York
- Ferry, J.D., (1980) Viscoelastic Properties of Polymers, , 3rd ed., John Wiley & Sons Inc., New York
- Majumdar, C.K., (1987) Non‐Debye Relaxation in Condensed Matter, p. 359. , T. V. Ramakrishnan, M. Raj Lakshmi, World Scientific Publ. Co., Singapor
- Ngai, K.L., , p. 23. , Non‐Debye Relaxation in Condensed Matter; Ngai, K.L., Rendell, R.W., From conformational transitions in a polymer chain to segmental relaxation in a bulk polymer (1991) Journal of Non-Crystalline Solids, 131-133, p. 942
- Ngai, K.L., Yee, A.F., (1991) J. Polymer Sci., Polymer Phys., 29, p. 1493
- Povolo, F., Schwartz, G., Hermida, ; Povolo, F., Hermida,
Citas:
---------- APA ----------
Povolo, F. & Hermida, É.B.
(1995)
. Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element. physica status solidi (b), 192(1), 53-64.
http://dx.doi.org/10.1002/pssb.2221920107---------- CHICAGO ----------
Povolo, F., Hermida, É.B.
"Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element"
. physica status solidi (b) 192, no. 1
(1995) : 53-64.
http://dx.doi.org/10.1002/pssb.2221920107---------- MLA ----------
Povolo, F., Hermida, É.B.
"Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element"
. physica status solidi (b), vol. 192, no. 1, 1995, pp. 53-64.
http://dx.doi.org/10.1002/pssb.2221920107---------- VANCOUVER ----------
Povolo, F., Hermida, É.B. Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element. Phys. Status Solidi B Basic Res. 1995;192(1):53-64.
http://dx.doi.org/10.1002/pssb.2221920107