Study of Energy Dissipation in a Two-Phase Soil System
DOI:
https://doi.org/10.54338/27382656-2022.3-008Keywords:
consolidation, creep, two-phase soil, hysteresis, dissipationAbstract
The dependence of energy dissipation coefficient on filtration properties and on creep characteristics of soil skeleton is examined. The study was carried out on the basis of the general solution of the joint task of creep and consolidation theory for a two-phase soil system obtained on the basis of the generalized model of bulk forces, taking into account the interaction of soil phases, changes over time in the general stress state at any point of the soil and additional pressures in pore water, and incomplete transfer of external pressure to the pore water. Interactions between phases are taken into account in the solution of the one-dimensional joint task of the theory of creep and consolidation, and the creep kernel is taken in the form of an exponential function. The formula for the deformation of two-phase soils is presented as the sum of two syllables due to primary and secondary consolidation of the soil. The strain formula uses experimentally obtained values of filtration characteristics and creep parameters of the soil skeleton. Using the formulas obtained, hysteresis loops under sinusoidal stress changes can be plotted and the energy expended per deformation cycle and the dissipation coefficient for two-phase soil can be obtained.
Downloads
References
V.V. Matveyev, K opisaniyu kontura petli mekhanicheskogo gisterezisa. Problemy prochnosti,
, 1973, 3-9 (in Russian).
D.I. Shil'krut, Yedinaya reologicheskaya gipoteza dlya opredeleniya sovmestnogo vliyaniya gisterezisa i nasledstvennykh (relaksatsionnykh) yavleniy na kolebatel'nyye protsessy v ne vpolne uprugikh sistemakh. Passeyaniye energii pri kolebaniyakh uprugikh sistem. National Academy of Sciences of Ukraine, Kiyev, 1963 (in Russian).
D.I. Shil'krut, Opredeleniye reologicheskogo zakona ne vpolne uprugogo tela dlya periodicheskikh protsessov v sluchaye gisterezisnoy petli elipticheskogo tiopa. USSR Academy of Sciences,
OTN Mekhanika i mashinostroyeniye, 6, 1961, 141-146 (in Russian).
S.R. Meschyan, T.L. Petrosyan, Primeneniye staticheskogo metoda opredeleniya logarifmicheskogo dekrementa kolebaniy gruntov v usloviyakh kompressii. Academy of Sciences of the Armenian SSR, Nauki o Zemle, 5, 1989, 69-74 (in Russian).
T.L. Petrosyan, Eksperimental'noye issledovaniye vliyaniya stepeni asimmetrii tsikla na formy i ploshchadi petli gisterezisa vodonasyshchennykh glinistykh gruntov pri kompressii. National Academy of Sciences of the Republic of Armenia, Nauki o Zemle, 46 (2), 1993, 60-63
(in Russian).
T.L. Petrosyan, A.M. Simonyan, Investigation of Histeresys at Scarcely Cycle Creep. National Academy of Sciences of the Republic of Armenia, Mekhanika 60 (2), 2007, 114-121 (in Russian).
A.M. Simonyan, T.L. Petrosyan, Investigation of Hysteresis Energy Dissipation in Dependence of Characteristics of Periodical Loading on Base of Theory of Heredity. National Academy of Sciences of the Republic of Armenia, Mekhanika, 64 (2), 2011, 73-77 (in Russian).
S.V. Slavikov, Sovershenstvovaniye eksperimental'nogo metoda issledovaniya dissipativnykh i prochnostnykh svoystv poliuretana. Vestnik PNIPU, 2, 2013, 145-153 (in Russian).
X. Ling, P. Li, F. Zhang, Y. Zhao, Y. Li, L. An, Permanent Deformation Characteristics of Coarse Grained Subgrade Soils under Train-Induced Repeated Load, Advances in Materials Science and Engineering, 7, 2017, 1-15. Doi: https://doi.org/10.1155/2017/6241479
M.J. Arefi, M. Cubrinovski, B.A. Bradley, A Model for Nonlinear Total Stress Analysis with Consistent Stiffness and Damping Variation. 15th World Congress on Earthquake Engineering, Lisbon, Portugal, Sep. 24-28, 2012.
Y. Nogami, Y. Murono, H.Morikawa, Nonlinear Hysteresis Model Taking into Account S-Shaped Hysteresis Loop and its Standard Parameters. 15th World Congress on Earthquake Engineering, Lisbon, Portugal, Sep. 24-28, 2012.
Zh. Youhu, K.K. Aamodt, A.M. Kaynia, Hysteretic Damping Model for Laterally Loaded Piles. Marine Structures, 76, 2021, 102896. Doi: https://doi.org/10.1016/j.marstruc.2020.102896
N.A. Tsytovich, Mekhanika gruntov. Vysshaya shkola, Moscow, 1983 (in Russian).
Y.K. Zaretskiy, Teoriya konsolidatsii gruntov. Nauka, Moscow, 1967 (in Russian).
Y.A. Voznesenskiy, Dinamicheskaya neustoychivost' gruntov. Editorial URSS, Moscow, 1999
(in Russian).
N.D. Krasnikov, Dinamicheskiye svoystva gruntov i metody ikh opredeleniya. Stroyizdat, Moscow, 1970 (in Russian).
S.G. Ter-Martirosyan, Mekhanika gruntov. Association of Construction Universities, Moscow, 2009 (in Russian).
Z.G. Ter-Martirosyan, A.Z. Ter-Martirosyan, Deformatsii polzuchesti gruntov osnovaniy vysotnykh zdaniy pri tsiklicheskom i vibratsionnom vozdeystviyakh. Proceedings of the International Conference on Geotechnical Problems of Megacities, 4, 2010, 1309-1314 (in Russian).
Z.G. Ter-Martirosyan, A.Z. Ter-Martirosyan, Consolidation of water-saturated soils under the action of a cyclic load. Vestnik MGSU, 4, 2010, 194-197 (in Russian).
P.L. Ivanov, Grunty i osnovaniya gidrotekhnicheskikh sooruzheniy. Vysshaya Shkola, Moscow, 1991 (in Russian).
K. Ishikhara, Soil behaviour in earthquake geotechnics. NPO "Georekonstruktsiya-fundamentproyekt", St. Petersburg, 2006 (in Russian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Tigran Petrosyan, Arestak Sarukhanyan
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Creative Commons Attribution-Non-Commercial (CC BY-NC). CC BY-NC allows users to copy and distribute the article, provided this is not done for commercial purposes. The users may adapt – remix, transform, and build upon the material giving appropriate credit, providing a link to the license. The full details of the license are available at https://creativecommons.org/licenses/by-nc/4.0/.