A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity

The tangent distribution function (TDF) is analyzed within the theory of linear viscoelasticity on mechanical properties. A proof is given that both the relaxation and retardation spectra can be derived from the TDF, through a Fredholm integral equation. Furthermore, the relaxation strength can be c...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Matteo, C.L.
Formato: JOUR
Materias:
Internal friction
Linear viscoelasticity
Relaxation spectrum
Relaxation strength
Retardation spectrum
Tangent distribution function
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00354511_v35_n4_p308_Matteo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00354511_v35_n4_p308_Matteo
record_format dspace
spelling todo:paper_00354511_v35_n4_p308_Matteo2023-10-03T14:46:37Z A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity Matteo, C.L. Internal friction Linear viscoelasticity Relaxation spectrum Relaxation strength Retardation spectrum Tangent distribution function The tangent distribution function (TDF) is analyzed within the theory of linear viscoelasticity on mechanical properties. A proof is given that both the relaxation and retardation spectra can be derived from the TDF, through a Fredholm integral equation. Furthermore, the relaxation strength can be calculated as a consequence of this relationship. Finally, as an example, the relationship is applied to discrete spectra. Fil:Matteo, C.L. 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_00354511_v35_n4_p308_Matteo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Internal friction
Linear viscoelasticity
Relaxation spectrum
Relaxation strength
Retardation spectrum
Tangent distribution function
spellingShingle Internal friction
Linear viscoelasticity
Relaxation spectrum
Relaxation strength
Retardation spectrum
Tangent distribution function
Matteo, C.L.
A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
topic_facet Internal friction
Linear viscoelasticity
Relaxation spectrum
Relaxation strength
Retardation spectrum
Tangent distribution function
description The tangent distribution function (TDF) is analyzed within the theory of linear viscoelasticity on mechanical properties. A proof is given that both the relaxation and retardation spectra can be derived from the TDF, through a Fredholm integral equation. Furthermore, the relaxation strength can be calculated as a consequence of this relationship. Finally, as an example, the relationship is applied to discrete spectra.
format JOUR
author Matteo, C.L.
author_facet Matteo, C.L.
author_sort Matteo, C.L.
title A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
title_short A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
title_full A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
title_fullStr A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
title_full_unstemmed A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
title_sort fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity
url http://hdl.handle.net/20.500.12110/paper_00354511_v35_n4_p308_Matteo
work_keys_str_mv AT matteocl afundamentalrelationshipbetweentherelaxationspectraandthetangentdistributionfunctioninthetheoryoflinearviscoelasticity
AT matteocl fundamentalrelationshipbetweentherelaxationspectraandthetangentdistributionfunctioninthetheoryoflinearviscoelasticity
_version_ 1807316481408499712

Ejemplares similares