On some peculiarities of generalized rheological body structure. 1

Authors

  • Ye. Bytzan S.I. Subbotin Institute of Geophysics of the National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.24028/gzh.0203-3100.v36i1.2014.116157

Keywords:

rheological body, rheological equation, deformation, stress, relaxation, rank, inelasticity, nondegeneracy, wave field, physical medium

Abstract

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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Published

2014-02-01

How to Cite

Bytzan, Y. (2014). On some peculiarities of generalized rheological body structure. 1. Geofizicheskiy Zhurnal, 36(1), 119–133. https://doi.org/10.24028/gzh.0203-3100.v36i1.2014.116157

Issue

Vol. 36 No. 1 (2014)

Section

Articles

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