Equilibrium and dynamics of porous and cracked media

Standard

Equilibrium and dynamics of porous and cracked media. / Sibiryakov, B. P.; Sibiryakov, E. B.

In: Journal of Physics: Conference Series, Vol. 1666, No. 1, 012048, 20.11.2020.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Sibiryakov, BP & Sibiryakov, EB 2020, 'Equilibrium and dynamics of porous and cracked media', Journal of Physics: Conference Series, vol. 1666, no. 1, 012048. https://doi.org/10.1088/1742-6596/1666/1/012048

APA

Sibiryakov, B. P., & Sibiryakov, E. B. (2020). Equilibrium and dynamics of porous and cracked media. Journal of Physics: Conference Series, 1666(1), [012048]. https://doi.org/10.1088/1742-6596/1666/1/012048

Vancouver

Sibiryakov BP, Sibiryakov EB. Equilibrium and dynamics of porous and cracked media. Journal of Physics: Conference Series. 2020 Nov 20;1666(1):012048. doi: 10.1088/1742-6596/1666/1/012048

Author

Sibiryakov, B. P. ; Sibiryakov, E. B. / Equilibrium and dynamics of porous and cracked media. In: Journal of Physics: Conference Series. 2020 ; Vol. 1666, No. 1.

BibTeX

@article{776f4c2036ed4df984af3028d257ab9f,

title = "Equilibrium and dynamics of porous and cracked media",

abstract = "We established equilibrium and motion equations for media with internal structure, characterized by integral geometry parameters. These equations are linear differential equations of the infinite order. Besides usual elastic waves, there are many waves with sufficiently lower velocities without bottom limit. Corresponding dispersion equations have both real and imaginary roots. Complex roots represent parametric resonances (catastrophes). This model of structured continuum describes intermediate states between statics and dynamics. It means that the equilibrium equations are valid for large scales, while the dynamic equations are valid in small ones.",

author = "Sibiryakov, {B. P.} and Sibiryakov, {E. B.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics ; Conference date: 07-09-2020 Through 11-09-2020",

year = "2020",

month = nov,

day = "20",

doi = "10.1088/1742-6596/1666/1/012048",

language = "English",

volume = "1666",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - Equilibrium and dynamics of porous and cracked media

AU - Sibiryakov, B. P.

AU - Sibiryakov, E. B.

PY - 2020/11/20

Y1 - 2020/11/20

N2 - We established equilibrium and motion equations for media with internal structure, characterized by integral geometry parameters. These equations are linear differential equations of the infinite order. Besides usual elastic waves, there are many waves with sufficiently lower velocities without bottom limit. Corresponding dispersion equations have both real and imaginary roots. Complex roots represent parametric resonances (catastrophes). This model of structured continuum describes intermediate states between statics and dynamics. It means that the equilibrium equations are valid for large scales, while the dynamic equations are valid in small ones.

AB - We established equilibrium and motion equations for media with internal structure, characterized by integral geometry parameters. These equations are linear differential equations of the infinite order. Besides usual elastic waves, there are many waves with sufficiently lower velocities without bottom limit. Corresponding dispersion equations have both real and imaginary roots. Complex roots represent parametric resonances (catastrophes). This model of structured continuum describes intermediate states between statics and dynamics. It means that the equilibrium equations are valid for large scales, while the dynamic equations are valid in small ones.

UR - http://www.scopus.com/inward/record.url?scp=85097060999&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1666/1/012048

DO - 10.1088/1742-6596/1666/1/012048

M3 - Conference article

AN - SCOPUS:85097060999

VL - 1666

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012048

T2 - 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics

Y2 - 7 September 2020 through 11 September 2020

ER -

ID: 26203445