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Feb 27, 2025

Cracking in Frozen Soils through a Nonlocal THM Meshfree Paradigm

Publication: Geotechnical Frontiers 2025

ABSTRACT

Fracturing in frozen soils presents a significant challenge in cold-region engineering. Using an innovative numerical approach, this paper explores the fracturing mechanisms in frozen soils, comprising soil solids, ice, and water. We employ a nonlocal meshless method known as periporomechanics (PPM), integrated with a thermo-hydro-mechanical (THM) elastic model for frozen soils. PPM diverges from classical poromechanics by utilizing integral-differential equations. In this method, the porous medium is modeled using a finite set of material points, where interactions within a specified radius or horizon are considered to exhibit THM-related nonlocal effects. This computational model employs a Lagrangian meshless scheme for spatial discretization. The fracturing process is modeled through a THM bond breakage concept. In this study, we integrate a THM elastic model into the PPM framework using the stabilized correspondence principle. Numerical examples are presented to validate and demonstrate the effectiveness of our nonlocal meshless method in modeling and analyzing the fracturing processes in frozen soils under thermo-mechanical loads. The examples highlight the THM PPM model’s robustness and potential as a valuable tool for understanding and predicting soil behavior in cold regions, providing crucial insights for engineering applications.

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REFERENCES

Lee, M. Y., Fossum, A. F., Costin, L. S., Bronowski, D. R., and Jung, J. (2002). Frozen soil material testing and constitutive modeling (No. SAND2002-0524). Sandia National Lab.(SNL-NM), Albuquerque, NM (United States); Sandia National Lab.(SNL-CA), Livermore, CA (United States).
Menon, S., and Song, X. (2019). “Coupled analysis of desiccation cracking in unsaturated soils through a nonlocal mathematical formulation.” Geosciences, 9(10), 428.
Menon, S., and Song, X. (2021a). “A computational periporomechanics model for localized failure in unsaturated porous media.” Comput Methods Appl Mech Eng. 384. 113932.
Menon, S., and Song, X. (2021b). “A stabilized computational nonlocal poromechanics model for dynamic analysis of saturated porous media.” Int J Numer Methods Eng. 122, 5512.
Menon, S., and Song, X. (2022a). “Computational multiphase periporomechanics for un-guided cracking in unsaturated porous media.” Int J Numer Methods Eng. 123, 2837–71.
Menon, S., and Song, X. (2022b). “Updated Lagrangian unsaturated periporomechanics for extreme large deformation in unsaturated porous media.”, Comput Methods Appl Mech Eng. 400, 115511.
Menon, S., and Song, X. (2023). “Computational coupled large deformation periporomechanics for dynamic failure and fracturing in variably saturated porous media.” Int J Numer Methods Eng., 124(1), 80–118.
Nishimura, S., Gens, A., Olivella, S., and Jardine, R. J. (2009). “THM-coupled finite element analysis of frozen soil: formulation and application.” Géotechnique, 50 (3), 159–71.
Pashazad, H., and Song, X. (2024a). “Computational multiphase micro‐periporomechanics for dynamic shear banding and fracturing of unsaturated porous media.” Int J Numer Methods Eng., 125, e7418.
Pashazad, H., and Song, X. (2024b). “Modeling dynamic crack branching in unsaturated porous media through multiphase micro-periporomechanics.” Int. J. Numer. Anal. Methods Geomech., https://doi.org/10.1002/nag.3746.
Pashazad, H., and Song, X. (2024c). “Shear banding and cracking in unsaturated porous media through a nonlocal THM meshfree paradigm.” Geosciences., 14(4), 103.
Song, X., and Menon, S. (2019). “Modeling of chemo-hydromechanical behavior of unsaturated porous media: a nonlocal approach based on integral equations.” Acta Geotechnica, 14, 727–747.
Song, X., and Pashazad, H. (2024). “Computational Cosserat periporomechanics for strain localization and cracking in deformable porous media.” Int. J. Solids Struct., 288, 112593.
Song, X., and Silling, S. A. (2020). “On the peridynamic effective force state and multiphase constitutive correspondence principle.” J. Mech. Phys. Solids. 145, 104–61.

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Go to Geotechnical Frontiers 2025
Geotechnical Frontiers 2025
Pages: 137 - 147

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Published online: Feb 27, 2025

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Xiaoyu Song, Ph.D., P.E., M.ASCE [email protected]
1Associate Professor, Dept. of Civil and Coastal Engineering, Univ. of Florida, Gainesville, FL. Email: [email protected]
Hossein Pashazad, S.M.ASCE [email protected]
2Ph.D. Student, Dept. of Civil and Coastal Engineering, Univ. of Florida, Gainesville, FL. Email: [email protected]

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