Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data

The dynamical properties of linear viscoelastic materials are related to the strength of relaxation as well as to the statistical parameters of the corresponding distribution function. Nowick and Berry established numerically the relationships between the real and imaginary moduli or compliances, th...

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Detalles Bibliográficos
Autores principales: Hermida, Elida Beatriz, Povolo, Francisco
Publicado: 1994
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v182_n2_p301_Hermida
http://hdl.handle.net/20.500.12110/paper_03701972_v182_n2_p301_Hermida
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03701972_v182_n2_p301_Hermida
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spelling paper:paper_03701972_v182_n2_p301_Hermida2023-06-08T15:36:22Z Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data Hermida, Elida Beatriz Povolo, Francisco The dynamical properties of linear viscoelastic materials are related to the strength of relaxation as well as to the statistical parameters of the corresponding distribution function. Nowick and Berry established numerically the relationships between the real and imaginary moduli or compliances, the strength of relaxation, and the parameters of a widely used distribution function: the log‐normal one. These relationships are modified, applying a perturbation theory, in order to get the parameters from an internal friction peak measured as a function of temperature. Recently, a modified anelastic element (MAE) has been introduced for describing the mechanical properties, particularly the internal friction, of linear viscoelastic solids. It has been shown that the distribution function associated to the MAE is quite similar to a log‐normal distribution. Therefore, in the present paper the perturbation theory developed by Nowick and Berry is applied to the internal friction peak for the MAE. It is found that the approximate values calculated for the MAE are in excellent agreement with the analytical parameters associated to this element and also with the approximate expressions derived for the log‐normal distribution. However, this treatment is not enough to determine the temperature dependence of the parameters except if very accurate frequency data are measured. Consequently, an alternative procedure is proposed. Copyright © 1994 WILEY‐VCH Verlag GmbH & Co. KGaA Fil:Hermida, É.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Povolo, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v182_n2_p301_Hermida http://hdl.handle.net/20.500.12110/paper_03701972_v182_n2_p301_Hermida
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The dynamical properties of linear viscoelastic materials are related to the strength of relaxation as well as to the statistical parameters of the corresponding distribution function. Nowick and Berry established numerically the relationships between the real and imaginary moduli or compliances, the strength of relaxation, and the parameters of a widely used distribution function: the log‐normal one. These relationships are modified, applying a perturbation theory, in order to get the parameters from an internal friction peak measured as a function of temperature. Recently, a modified anelastic element (MAE) has been introduced for describing the mechanical properties, particularly the internal friction, of linear viscoelastic solids. It has been shown that the distribution function associated to the MAE is quite similar to a log‐normal distribution. Therefore, in the present paper the perturbation theory developed by Nowick and Berry is applied to the internal friction peak for the MAE. It is found that the approximate values calculated for the MAE are in excellent agreement with the analytical parameters associated to this element and also with the approximate expressions derived for the log‐normal distribution. However, this treatment is not enough to determine the temperature dependence of the parameters except if very accurate frequency data are measured. Consequently, an alternative procedure is proposed. Copyright © 1994 WILEY‐VCH Verlag GmbH & Co. KGaA
author Hermida, Elida Beatriz
Povolo, Francisco
spellingShingle Hermida, Elida Beatriz
Povolo, Francisco
Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
author_facet Hermida, Elida Beatriz
Povolo, Francisco
author_sort Hermida, Elida Beatriz
title Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
title_short Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
title_full Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
title_fullStr Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
title_full_unstemmed Distribution Function Parameters Determined from Dynamic Mechanical Spectroscopy Data
title_sort distribution function parameters determined from dynamic mechanical spectroscopy data
publishDate 1994
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v182_n2_p301_Hermida
http://hdl.handle.net/20.500.12110/paper_03701972_v182_n2_p301_Hermida
work_keys_str_mv AT hermidaelidabeatriz distributionfunctionparametersdeterminedfromdynamicmechanicalspectroscopydata
AT povolofrancisco distributionfunctionparametersdeterminedfromdynamicmechanicalspectroscopydata
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