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...

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Detalles Bibliográficos
Autor principal:	Matteó, Claudia Leda
Publicado:	1996
Materias:	Internal friction Linear viscoelasticity Relaxation spectrum Relaxation strength Retardation spectrum Tangent distribution function
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00354511_v35_n4_p308_Matteo 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	paper:paper_00354511_v35_n4_p308_Matteo
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spelling	paper:paper_00354511_v35_n4_p308_Matteo2023-06-08T15:01:14Z A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity Matteó, Claudia Leda 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. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00354511_v35_n4_p308_Matteo 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 Matteó, Claudia Leda 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.
author	Matteó, Claudia Leda
author_facet	Matteó, Claudia Leda
author_sort	Matteó, Claudia Leda
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
publishDate	1996
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00354511_v35_n4_p308_Matteo http://hdl.handle.net/20.500.12110/paper_00354511_v35_n4_p308_Matteo
work_keys_str_mv	AT matteoclaudialeda afundamentalrelationshipbetweentherelaxationspectraandthetangentdistributionfunctioninthetheoryoflinearviscoelasticity AT matteoclaudialeda fundamentalrelationshipbetweentherelaxationspectraandthetangentdistributionfunctioninthetheoryoflinearviscoelasticity
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A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity

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