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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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Bibliographic Details
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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Summary: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.

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