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On some peculiarities of generalized rheological body structure. 1

On some peculiarities of generalized rheological body structure. 1

The structure of generalized rheological bodies (RB) with arbitrary number of elements was analyzed. It was shown that RBs of certain order are subdivided into quasielastic and quasiviscous, each having two classes, depending on whether coefficients at stress and deformation in rheological equation...

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Main Author: Bytzan, Ye.
Format: Article
Language:Ukrainian
Published: Subbotin Institute of Geophysics of the NAS of Ukraine 2014
Subjects:
rheological body
rheological equation
deformation
stress
relaxation
rank
inelasticity
nondegeneracy
wave field
physical medium
Online Access:https://journals.uran.ua/geofizicheskiy/article/view/116157
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id journalsuranua-geofizicheskiy-article-116157
record_format ojs
spelling journalsuranua-geofizicheskiy-article-1161572020-10-07T11:58:13Z On some peculiarities of generalized rheological body structure. 1 Bytzan, Ye. rheological body rheological equation deformation stress relaxation rank inelasticity nondegeneracy wave field physical medium The structure of generalized rheological bodies (RB) with arbitrary number of elements was analyzed. It was shown that RBs of certain order are subdivided into quasielastic and quasiviscous, each having two classes, depending on whether coefficients at stress and deformation in rheological equation have the same order. Peculiarities of connection between elastic or viscous elements and non-degenerated RB were also considered. It was proven that fulfilling the condition of RB balance 8 = 8 e + 8 c , is a necessary and sufficient condition of nondegenerated RB, where 8 e - difference between the number of elastic and viscous elements, and 8 c - difference between the number of parallel and sequential connections in the RB. It was shown that the order of nondegenerated RB is determined by the number of viscous elements it contains. Subbotin Institute of Geophysics of the NAS of Ukraine 2014-02-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/116157 10.24028/gzh.0203-3100.v36i1.2014.116157 Geofizicheskiy Zhurnal; Vol. 36 No. 1 (2014); 119-133 Геофизический журнал; Том 36 № 1 (2014); 119-133 Геофізичний журнал; Том 36 № 1 (2014); 119-133 2524-1052 0203-3100 uk https://journals.uran.ua/geofizicheskiy/article/view/116157/110241 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0
institution Geofizicheskiy Zhurnal
collection OJS
language Ukrainian
topic rheological body
rheological equation
deformation
stress
relaxation
rank
inelasticity
nondegeneracy
wave field
physical medium
spellingShingle rheological body
rheological equation
deformation
stress
relaxation
rank
inelasticity
nondegeneracy
wave field
physical medium
Bytzan, Ye.
On some peculiarities of generalized rheological body structure. 1
topic_facet rheological body
rheological equation
deformation
stress
relaxation
rank
inelasticity
nondegeneracy
wave field
physical medium
format Article
author Bytzan, Ye.
author_facet Bytzan, Ye.
author_sort Bytzan, Ye.
title On some peculiarities of generalized rheological body structure. 1
title_short On some peculiarities of generalized rheological body structure. 1
title_full On some peculiarities of generalized rheological body structure. 1
title_fullStr On some peculiarities of generalized rheological body structure. 1
title_full_unstemmed On some peculiarities of generalized rheological body structure. 1
title_sort on some peculiarities of generalized rheological body structure. 1
description The structure of generalized rheological bodies (RB) with arbitrary number of elements was analyzed. It was shown that RBs of certain order are subdivided into quasielastic and quasiviscous, each having two classes, depending on whether coefficients at stress and deformation in rheological equation have the same order. Peculiarities of connection between elastic or viscous elements and non-degenerated RB were also considered. It was proven that fulfilling the condition of RB balance 8 = 8 e + 8 c , is a necessary and sufficient condition of nondegenerated RB, where 8 e - difference between the number of elastic and viscous elements, and 8 c - difference between the number of parallel and sequential connections in the RB. It was shown that the order of nondegenerated RB is determined by the number of viscous elements it contains.
publisher Subbotin Institute of Geophysics of the NAS of Ukraine
publishDate 2014
url https://journals.uran.ua/geofizicheskiy/article/view/116157
work_keys_str_mv AT bytzanye onsomepeculiaritiesofgeneralizedrheologicalbodystructure1
first_indexed 2024-04-21T19:40:39Z
last_indexed 2024-04-21T19:40:39Z
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