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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Autores principales: Povolo, F., Hermida, É.B.
Formato: JOUR
Acceso en línea: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
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spelling todo:paper_03701972_v192_n1_p53_Povolo2023-10-03T15:28:33Z Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element Povolo, F. Hermida, É.B. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
format JOUR
author Povolo, F.
Hermida, É.B.
spellingShingle Povolo, F.
Hermida, É.B.
Mechanical Relaxation of Linear Viscoelastic Materials Described by the Modified Anelastic Element
author_facet Povolo, F.
Hermida, É.B.
author_sort Povolo, F.
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
url http://hdl.handle.net/20.500.12110/paper_03701972_v192_n1_p53_Povolo
work_keys_str_mv AT povolof mechanicalrelaxationoflinearviscoelasticmaterialsdescribedbythemodifiedanelasticelement
AT hermidaeb mechanicalrelaxationoflinearviscoelasticmaterialsdescribedbythemodifiedanelasticelement
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