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

Blend D., 1965. The theory of linear viscoelasticity. Moscow: Mir, 200 p. (in Russian).

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).

Downloads

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

Vol. 36 No. 3 (2014)

Section

Articles

License

Copyright (c) 2020 Geofizicheskiy Zhurnal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).