Abstract:
Relaxation or retardation distribution functions are sometimes used to determine the molecular models of the polymeric structure of a linear viscoelastic material. These spectra are usually calculated from the double-log representation of any mechanical property, using approximation methods. In this paper it is shown that the double-log plots distort the viscoelastic behavior, leading to spectra that do not describe the real mechanical response. To solve this problem, a normalized representation of the measurements is proposed and its improvements are discussed in detail. Particularly, the retardation spectrum determined from the normalized dynamic compliance of polyisobutylene is taken as an example, showing some inconsistencies in the model determined from the double-log representation. Finally, even with the normalized representation, the spectra derived from the master curves do not always provide a good fitting of these curves. Hence, it is pointed out that the analysis of individual curves measured over several decades of time or frequency leads to a better determination of the real distribution function of characteristic times. © 1992 The Society of Polymer Science, Japan.
Registro:
Documento: |
Artículo
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Título: | Analysis of the relaxation and retardation spectra obtained from the double-log representation of the viscoelastic functions |
Autor: | Povolo, F.; Hermida, ȁ.B. |
Filiación: | Dto. de Fȷsica, U.b.a, Ciudad universitaria, Buenos Aires, 1428, Argentina Dio. De materiales, ComisiɃn nacional de energia atɃmica, Buenos Aires, 8250, Argentina
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Palabras clave: | Double-Log representation; Master curve; Re-laxation and retardation spectra; Viscoelastic functions; Mathematical Techniques - Approximation Theory; Polymers - Molecular Structure; Relaxation Processes - Analysis; Spectrum Analysis - Applications; Double Log Representation; Master Curve; Relaxation and Retardation Spectra; Viscoelastic Functions; Polymers |
Año: | 1992
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Volumen: | 24
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Número: | 1
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Página de inicio: | 15
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Página de fin: | 24
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DOI: |
http://dx.doi.org/10.1295/polymj.24.15 |
Título revista: | Polymer Journal
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Título revista abreviado: | Polym J
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ISSN: | 00323896
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00323896_v24_n1_p15_Povolo |
Referencias:
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- Tschoegl, N.W., (1981), “The Theory of Linear Viscoelastic Behavior,” Academic Press, New York; Ferry, J.D., (1980), “Viscoelastic Properties of Polymers,” John Wiley & Sons, New York; Gross, B., (1953), “Mathematical Structure of the Theories of Viscoelasticity,” Hermann et Cie., Paris; Nowick, A.S., Berry, B.S., (1972), “Anelastic Relaxation in Crystalline Solids,” Academic Press, Inc., New York; Nowick, A.S., Berry, B.S., (1961) IBM J. Res. Develop., 5, p. 297
- Povolo (1991) Mater. Trans., JIM, p. 32. , F
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- Povolo, F., Matteo, C.L., II Nuovo Cimento
- Fitzgerald, E.R., Grandine, L.D., Ferry, J.D., (1953) J. Appi. Phys., 24, p. 650
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- Rouse, P.E., (1953) J. Chem. Phys., 21, p. 1272
- Ferry, J.D., (1956), “Die Physik der Hockpolymeren, H. A. Stuart, Ed., Springer-Verlag, Berlin; Catsiff, E., Tobolsky, A.V., (1954) J. Appi. Phys., 25, p. 145
- Povolo, F., Hermida, E.B., (1991) Mechanics Mater., 12, p. 35
Citas:
---------- APA ----------
Povolo, F. & Hermida, ȁ.B.
(1992)
. Analysis of the relaxation and retardation spectra obtained from the double-log representation of the viscoelastic functions. Polymer Journal, 24(1), 15-24.
http://dx.doi.org/10.1295/polymj.24.15---------- CHICAGO ----------
Povolo, F., Hermida, ȁ.B.
"Analysis of the relaxation and retardation spectra obtained from the double-log representation of the viscoelastic functions"
. Polymer Journal 24, no. 1
(1992) : 15-24.
http://dx.doi.org/10.1295/polymj.24.15---------- MLA ----------
Povolo, F., Hermida, ȁ.B.
"Analysis of the relaxation and retardation spectra obtained from the double-log representation of the viscoelastic functions"
. Polymer Journal, vol. 24, no. 1, 1992, pp. 15-24.
http://dx.doi.org/10.1295/polymj.24.15---------- VANCOUVER ----------
Povolo, F., Hermida, ȁ.B. Analysis of the relaxation and retardation spectra obtained from the double-log representation of the viscoelastic functions. Polym J. 1992;24(1):15-24.
http://dx.doi.org/10.1295/polymj.24.15