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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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
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S. Subbotin Institute of Geophysics of the NAS of Ukraine
2014
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| Online Access: | https://journals.uran.ua/geofizicheskiy/article/view/116157 |
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| Journal Title: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| _version_ | 1856543215344156672 |
|---|---|
| author | Bytzan, Ye. |
| author_facet | Bytzan, Ye. |
| author_sort | Bytzan, Ye. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:58:13Z |
| 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. |
| first_indexed | 2025-07-17T11:06:34Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-116157 |
| institution | Geofizicheskiy Zhurnal |
| language | Ukrainian |
| last_indexed | 2025-07-17T11:06:34Z |
| publishDate | 2014 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| 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. S. 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 |
| 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 |
| title | 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_short | On some peculiarities of generalized rheological body structure. 1 |
| title_sort | on some peculiarities of generalized rheological body structure. 1 |
| topic | rheological body rheological equation deformation stress relaxation rank inelasticity nondegeneracy wave field physical medium |
| topic_facet | rheological body rheological equation deformation stress relaxation rank inelasticity nondegeneracy wave field physical medium |
| url | https://journals.uran.ua/geofizicheskiy/article/view/116157 |
| work_keys_str_mv | AT bytzanye onsomepeculiaritiesofgeneralizedrheologicalbodystructure1 |