Influence of intensity of relaxation on interconversion between normalized distribution functions

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Relaxation and retardation spectra comprise both the statistical processes and the macroscopic behavior of a linear viscoelastic material. Effectively, they provide the distribution function of the mechanical processes that evolve in the polymeric system and their integrals give the difference betwe...

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Detalles Bibliográficos
Autor principal: Povolo, Francisco
Otros Autores: Hermida, ȁ.B
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1992
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Povolo, Francisco 
245 1 0 |a Influence of intensity of relaxation on interconversion between normalized distribution functions 
260 |c 1992 
504 |a Ferry, J.D., (1980), “Viscoelastic Properties of Polymers,” John Wiley & Sons, New York; Gross, B., (1953), “Mathematical Structure of the Theories of Viscoelasticity,” Herman et Cie., Paris; Nowick, A.S., Berry, B.S., (1972), “Anelastic Relaxation in Crystalline Solids,” Academic Press, New York; Schwarzl, F., Staverman, A.J., (1953) Appi. Sci. Res., 4, p. 127 
504 |a Tschoegl, N.W., (1981), “The Theory of Linear Viscoelastic Behaviour,” Academic Press, New York; Gradshtejn, J.S., Ryzhik, J.M., (1965), “Table of Integrals, Series and Products,” Academic Press, New York; Ferry, J.D., Grandine, L.D., Fitzgerald, E.R., (1953) J. Appi. Phys., 24, p. 911 
504 |a Povolo, F., Hermida, É.B., (1992) Polym. J., 24, p. 1 
504 |a Tobolsky, A.V., (1956) J. Am. Chem. Soc., 74, 3786 (1952); J. Appi. Phys., 27, p. 673 
504 |a Andrews, R.D., Tobolsky, A.V., (1951) J. Polym. Sci., 6, p. 221 
504 |a Ferry, J.D., (1956), “Die Physik der Hockpolymeren,” Vol. IV, H. A. Stuart, Ed., Springer-Verlag, Berlin; Povolo, F., Hermida, É.B., (1989) Phys. Stai. Sol., 171, p. 71 
504 |a Povolo, F., Hermida, É.B., (1990) J. Mater. Sci., 25, p. 4036 
504 |a Povolo, F., Matteo, C.L., Ke, T.S., (1990), p. 579. , “Internal Friction and Ultrasonic Attenuation in Solids,” International Academic Publishers, Beijing; Povolo, F., Matteo, C.L., II Nuovo Cimento 
504 |a Fitzgerald, E.R., Grandine, L.D., Ferry, J.D., (1953) J. Appi. Phys., 24, p. 650 
504 |a Nowick, A.S., Berry, B.S., (1961) IBM J. Res. Develop., 5, p. 297 
504 |a Povolo, F., Hermida, É.B., (1991) Mechanics of Materials, 12, p. 35 
504 |a Roubine, E., (1982), “Distribution Signals,” Eurrolles, Paris 
506 |2 openaire  |e Política editorial 
520 3 |a Relaxation and retardation spectra comprise both the statistical processes and the macroscopic behavior of a linear viscoelastic material. Effectively, they provide the distribution function of the mechanical processes that evolve in the polymeric system and their integrals give the difference between the limiting moduli or compliances. Consequently, the normal procedure used for the interconversion between the spectra does not allow to separate the statistical characteristics of the mechanical processes from the macroscopic mechanical response. Nevertheless, the normalized spectra, characterized only by geometrical parameters, are more suitable because they give the probability of evolution of the internal processes without including an explicit dependence on the mechanical property under consideration. Furthermore, in the case of linear viscoelastic solids the interconversion of normalized spectra let to separate the statistical description from the intensity of relaxation Δ, which is the only macroscopic factor involved. In order to analyze this separation of variables, the interconversion of well-known distribution functions is considered. It is found that, for high values of Δ generally met in polymers, the converted spectrum of any distribution function, bounded or not, can be described virtually by a single process. This ambiguous description of the same polymeric system, given by a complex distribution and by a single process, simultaneously, is originated from the determination of Δ from the master curves. Therefore, an alternative treatment of experimental data is suggested in this paper, considering the individual curves measured at different temperatures without making any extrapolation. © 1992 The Society of Polymer Science, Japan.  |l eng 
593 |a Dto. De Fȷsica, Universidad de buenos aires, Ciudad universitaria, Buenos Aires, 1428, Argentina 
593 |a Dio. De materiales, ComisiɃn nacional de energia atɃmica, Buenos Aires, 1429, Argentina 
690 1 0 |a DYNAMIC MECHANICAL PROPERTIES 
690 1 0 |a LINEAR VISCOELASTICITY 
690 1 0 |a MASTER CURVE 
690 1 0 |a RELAXATION AND RETARDATION SPECTRA 
690 1 0 |a RELAXATION PROCESSES - ANALYSIS 
690 1 0 |a SPECTRUM ANALYSIS - APPLICATIONS 
690 1 0 |a VISCOELASTICITY - THEORY 
690 1 0 |a INTERCONVERSION 
690 1 0 |a LINEAR VISCOELASTICITY 
690 1 0 |a MACROSCOPIC RESPONSE 
690 1 0 |a MASTER CURVES 
690 1 0 |a RELAXATION AND RETARDATION SPECTRA 
690 1 0 |a POLYMERS 
700 1 |a Hermida, ȁ.B. 
773 0 |d 1992  |g v. 24  |h pp. 1-13  |k n. 1  |p Polym J  |x 00323896  |t Polymer Journal 
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856 4 0 |u https://doi.org/10.1295/polymj.24.1  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_00323896_v24_n1_p1_Povolo  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00323896_v24_n1_p1_Povolo  |y Registro en la Biblioteca Digital 
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999 |c 80215 

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