Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование
Equilibrium and dynamics of porous and cracked media. / Sibiryakov, B. P.; Sibiryakov, E. B.
в: Journal of Physics: Conference Series, Том 1666, № 1, 012048, 20.11.2020.Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование
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TY - JOUR
T1 - Equilibrium and dynamics of porous and cracked media
AU - Sibiryakov, B. P.
AU - Sibiryakov, E. B.
N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
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