About the Journal
In Memory of Professor Jerzy Radecki
Ownership and Management Statement
Editorial Office
Editorial Board
Scope
Impact Factor
Indexed by
Journal Impact Factor contributing items
Publication Frequency
Revenue Sources & Business Model
Contact
Subscription
Current issue
Online first
Instructions for Authors
Frequently Asked Questions
Editorial policies
Publication Policy Overview
Peer Review Policy
Research Ethics and Malpractice Policy
Plagiarism Policy
Conflict of Interest Policy
Open Access Policy
Instructions for Reviewers
Generative AI and AI-Assisted Technologies Policy
Advertising Policy
Direct Marketing & Manuscript Solicitation
Digital Archiving and Preservation Policy
CrossMark, Correction, and Retraction Policy
Archive
Editorial policies
Publication Policy Overview
Peer Review Policy
Research Ethics and Malpractice Policy
Plagiarism Policy
Conflict of Interest Policy
Open Access Policy
Instructions for Reviewers
Generative AI and AI-Assisted Technologies Policy
Advertising Policy
Direct Marketing & Manuscript Solicitation
Digital Archiving and Preservation Policy
CrossMark, Correction, and Retraction Policy
ORIGINAL RESEARCH
Modeling of Shakedown Accumulation
of Secondary Deformation of Granular
Soils Subjected to Low-Amplitude
High-Cycle Loading
1
State Key Laboratory of Continental Dynamics Department of Geology Northwest University,
Xi’an, 710069, the People’s Republic of China
2
Shaanxi Expressway Testing & Measuring Co., Ltd., Xi’an 710086, the People’s Republic of China
3
China Railway Major Bridge Reconnaissance & Design Institute Co., Ltd.,
Wuhan 430050, the People’s Republic of China
4
State Key Laboratory of Geomechanics and Geotechnical Engineering Institute of Rock and Soil Mechanics
Chinese Academy of Sciences, Wuhan, 430071, the People’s Republic of China
Submission date: 2024-01-04
Final revision date: 2024-03-10
Acceptance date: 2024-05-13
Online publication date: 2024-09-10
Publication date: 2025-01-28
Corresponding author
Yong Wang
State Key Laboratory of Geomechanics and Geotechnical Engineering Institute of Rock and Soil Mechanics Chinese Academy of Sciences, Wuhan, 430071, the People’s Republic of China
State Key Laboratory of Geomechanics and Geotechnical Engineering Institute of Rock and Soil Mechanics Chinese Academy of Sciences, Wuhan, 430071, the People’s Republic of China
Pol. J. Environ. Stud. 2025;34(3):3173-3185
KEYWORDS
TOPICS
ABSTRACT
The progressive accumulation of secondary deformation, occurring incrementally under lowamplitude,
high-cycle loading in soils, can lead to significant displacement of foundations. This study
has developed a novel phenomenological model to describe the shakedown accumulation behavior
of secondary deformation in granular soils subjected to low-amplitude, high-cycle loading. Firstly,
gradual densification of granular packing yields an average volume strain that obeys a logarithmic law
as the cyclic loading persists. A log-hyperbolic function, constrained by a limit, is reasonable, considering
that the strain will reach a steady state of finite value as the cycle number approaches infinity. Secondly,
cyclic loadings with average stress induce the accumulation of strain in the direction of average stress
as the cycle number increases. This has been incorporated into the well-known modified
Cam-clay model. Lastly, the proposed model has been calibrated using data obtained from undrained
and drained cyclic triaxial tests conducted on uniformly fine-grained sands. The results suggest that
the model effectively exhibits important features of the accumulation of both volumetric and deviatoric
deformation induced by drained cyclic loading over a large number of cycles.
CONFLICT OF INTEREST
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
REFERENCES (28)
1.
PAN K., XU T.T., LIAO D., YANG Z.X. Failure mechanisms of sand under asymmetrical cyclic loading conditions: experimental observation and constitutive modelling. Géotechnique, 72 (2), 162, 2022. https://doi.org/10.1680/jgeot.....
2.
LIU H., PISANÒ F., JOSTAD H.P., SIVASITHAMPARAM N. Impact of cyclic strain accumulation on the tilting behaviour of monopiles in sand: An assessment of the Miner's rule based on SANISAND-MS 3D FE modelling. Ocean Engineering, 250, 110579, 2022. https://doi.org/10.1016/j.ocea....
3.
REEHANA S., MUTHUKUMAR M. Undrained response of fibre reinforced expansive soil subjected to cyclic loading. Soil Dynamics and Earthquake Engineering, 173, 108154, 2023.
4.
CUI K., ZHANG D., LI Q., YANG S., ZHANG H. Experimental investigation on the accumulated strain of coarse-grained soil reinforced by geogrid under high-cycle cyclic loading. Geotextiles and Geomembranes, 51 (1), 233, 2023.
5.
FUENTES W., MAŠÍN D., DUQUE J. Constitutive model for monotonic and cyclic loading on anisotropic clays. Géotechnique, 71 (8), 657, 2021. https://doi.org/10.1680/jgeot.....
6.
LI Y., NIE R., YUE Z., LENG W., GUO Y. Dynamic behaviors of fine-grained subgrade soil under single-stage and multi-stage intermittent cyclic loading: Permanent deformation and its prediction model. Soil Dynamics and Earthquake Engineering, 142, 106548, 2021. https://doi.org/10.1016/j.soil....
7.
SABERI M., ANNAN C.-D., KONRAD J.-M., LASHKARI A. A critical state two-surface plasticity model for gravelly soil-structure interfaces under monotonic and cyclic loading. Computers and Geotechnics, 80, 71, 2016.
8.
MA B., ZHANG Q.-Q. A critical state three-dimensional multi-shear model for soil-structure interfaces under monotonic and cyclic loading. Engineering Structures, 295, 116866, 2023.
9.
TAFILI M., DUQUE J., OCHMAŃSKI M., MAŠÍN D., WICHTMANN T. Numerical inspection of Miner's rule and drained cyclic preloading effects on fine-grained soils. Computers and Geotechnics, 156, 105310, 2023. https://doi.org/10.1016/j.comp....
10.
SUN Y., XIAO Y., HANIF K.F. Fractional order modelling of the cumulative deformation of granular soils under cyclic loading. Acta Mechanica Solida Sinica, 28 (6), 647, 2015.
11.
LI X., LIU J., NAN J. Prediction of dynamic pore water pressure for calcareous sand mixed with fine-grained soil under cyclic loading. Soil Dynamics and Earthquake Engineering, 157, 107276, 2022. https://doi.org/10.1016/j.soil....
12.
KHASAWNEH Y., BOBET A., FROSCH R. A simple soil model for low frequency cyclic loading. Computers and Geotechnics, 84, 225, 2017. https://doi.org/10.1016/j.comp....
13.
CHAI J.-C., MIURA N. Traffic-Load-Induced Permanent Deformation of Road on Soft Subsoil. Journal of Geotechnical and Geoenvironmental Engineering, 128 (11), 907, 2002.
14.
SAWICKI A., SWIDZINSKI W. Mechanics of a sandy subsoil subjected to cyclic loadings. International Journal for Numerical and Analytical Methods in Geomechanics, 13 (5), 511, 1989.
15.
SUIKER A.S.J., DE BORST R. A numerical model for the cyclic deterioration of railway tracks. International Journal for Numerical Methods in Engineering, 57 (4), 441, 2003. https://doi.org/10.1002/nme.68....
16.
NIEMUNIS A., WICHTMANN T., TRIANTAFYLLIDIS T. A high-cycle accumulation model for sand. Computers and Geotechnics, 32 (4), 245, 2005. https://doi.org/10.1016/j.comp... PMCid:PMC11836493.
17.
KARG C., FRANÇOIS S., HAEGEMAN W., DEGRANDE G. Elasto-plastic long-term behavior of granular soils: Modelling and experimental validation. Soil Dynamics and Earthquake Engineering, 30 (8), 635, 2010. https://doi.org/10.1016/j.soil....
18.
JIA P.-F., KONG L.-W. Modeling of ratcheting accumulation of secondary deformation due to stress-controlled high-cyclic loading in granular soils. Journal of Central South University, 22 (6), 2306, 2015. https://doi.org/10.1007/s11771....
19.
CHEN W.B., FENG W.Q., YIN J.H., BORANA L., CHEN R.P. Characterization of permanent axial strain of granular materials subjected to cyclic loading based on shakedown theory. Construction And Building Materials, 198, 751, 2019.
20.
ZHOU Z., MA W., LI G., SHEN M. A novel evaluation method for accumulative plastic deformation of granular materials subjected to cyclic loading: Taking frozen subgrade soil as an example. Cold Regions Science and Technology, 179, 2020.
21.
WANG D., LIU E., ZHANG D., YUE P., WANG P., KANG J., YU Q. An elasto-plastic constitutive model for frozen soil subjected to cyclic loading. Cold Regions Science and Technology, 189, 103341, 2021. https://doi.org/10.1016/j.cold....
22.
LIAO D., YANG Z.X. Hypoplastic modeling of anisotropic sand behavior accounting for fabric evolution under monotonic and cyclic loading. Acta Geotechnica, 16 (7), 2003, 2021.
23.
ZHU Z., FU T., NING J., LI B. Mechanical behavior and constitutive model of frozen soil subjected to cyclic impact loading. International Journal of Impact Engineering, 177, 104531, 2023.
24.
HE Z., WANG P., LIU Y. Cumulative deformation prediction and microstructure change of coarse-grained soil under cyclic loading. Soil Dynamics and Earthquake Engineering, 173, 108136, 2023. https://doi.org/10.1016/j.soil....
25.
CHEN G., LI P., LENG Z., WU T., LI C., XIANG J., LIU Y., HUO P. Transient model of unsteady creep of sliding zone soil under cyclic dynamic load based on fractional derivative. Alexandria Engineering Journal, 83, 212, 2023. https://doi.org/10.1016/j.aej.....
26.
OLSZAK W., PERZYNA P. On thermal effects in viscoplasticity. Zeitschrift für angewandte Mathematik und Physik, 20 (5), 676, 1969. https://doi.org/10.1007/BF0159....
27.
YIN J.-H. Non-linear creep of soils in oedometer tests. Géotechnique, 49 (5), 699, 1999. https://doi.org/10.1680/geot.1....
28.
CHANG C.S., WHITMAN R.V. Drained Permanent Deformation of Sand Due to Cyclic Loading. Journal of Geotechnical Engineering, 114 (10), 1164, 1988. https://doi.org/10.1061/(ASCE)...).
| eISSN: | 2083-5906 |
| ISSN: | 1230-1485 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
