Of some peculiarities of generalized rheological body. 2

Authors

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

DOI:

https://doi.org/10.24028/gzh.0203-3100.v36i3.2014.116054

Keywords:

rheological body, rheological equation, deformation, tension, relaxation, rank, non-elasticity, non-degeneracy, wave field, rheological medium

Abstract

Peculiarities of high-rank rheological bodies (RB) formation through unification of two RBs with lesser number of elements were analyzed. The necessary and sufficient conditions for the nonsingularity of complex RB are formulated, which lie in the equality of difference between the quantity of parallel and consecutive connections in the formed RB to one, and the RB relaxation times that are composed in case of parallel connections and aftereffect times in case of consecutive connection were different. The function of relaxation creeping were built, with the help of which the cores are built, as well as resolutions of integral equations of the 2nd kind, which describe nonelastic processes in media with aftereffects.

References

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Bytzan Ye. M. On some peculiarities of generalized rheological body structure. 1. Geofizicheskij zhurnal 35(1), 119—132 (in Ukrainian).

Koltunov M. A., 1976. Creep and relaxation. Moscow: Vysshaja shkola, 277 p. (in Russian).

Rejner M., 1965. Rheology. Moscow: Nauka, 294 p. (in Russian).

Savin G.M., Rushhic'kij Ja.Ja., 1975. Elements of hereditary media mechanics. Kiev: Vishha shkola, 252 p. (in Ukrainian).

Sorokin E.S., 1960. The theory of internal friction. Moscow: Gosstrojizdat, 152 p. (in Russian).

Ziner K.M., 1954. Elasticity and inelasticity of metals. Moscow: Izdatel'stvo inostrannoj literatury, 396 p. (in Russian).

Published

2014-06-01

How to Cite

Bytzan, Y. (2014). Of some peculiarities of generalized rheological body. 2. Geofizicheskiy Zhurnal, 36(3), 72–85. https://doi.org/10.24028/gzh.0203-3100.v36i3.2014.116054

Issue

Section

Articles