Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element

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 distribut...

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Detalles Bibliográficos
Autores principales: Povolo, Francisco, Hermida, Elida Beatriz
Publicado: 1995
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v192_n1_p53_Povolo
http://hdl.handle.net/20.500.12110/paper_03701972_v192_n1_p53_Povolo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03701972_v192_n1_p53_Povolo
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spelling paper:paper_03701972_v192_n1_p53_Povolo2023-06-08T15:36:22Z Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element Povolo, Francisco Hermida, Elida Beatriz 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 Fil:Povolo, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hermida, É.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1995 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v192_n1_p53_Povolo http://hdl.handle.net/20.500.12110/paper_03701972_v192_n1_p53_Povolo
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 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
author Povolo, Francisco
Hermida, Elida Beatriz
spellingShingle Povolo, Francisco
Hermida, Elida Beatriz
Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
author_facet Povolo, Francisco
Hermida, Elida Beatriz
author_sort Povolo, Francisco
title Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
title_short Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
title_full Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
title_fullStr Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
title_full_unstemmed Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
title_sort mechanical relaxation of linear viscoelastic materials described by the modified anelastic element
publishDate 1995
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03701972_v192_n1_p53_Povolo
http://hdl.handle.net/20.500.12110/paper_03701972_v192_n1_p53_Povolo
work_keys_str_mv AT povolofrancisco mechanicalrelaxationoflinearviscoelasticmaterialsdescribedbythemodifiedanelasticelement
AT hermidaelidabeatriz mechanicalrelaxationoflinearviscoelasticmaterialsdescribedbythemodifiedanelasticelement
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