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Exploring the impact of degrees of hydration on the stress–strain response of Ca-montmorillonite

Published online by Cambridge University Press:  18 July 2025

Yidan Zhang
Affiliation:
School of Civil and Environmental Engineering, Hunan University of Technology , Zhuzhou, China
Quan Shen*
Affiliation:
School of Civil and Environmental Engineering, Hunan University of Technology , Zhuzhou, China Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Nanning, China
Yuan Yan
Affiliation:
Collaborative Innovation Center, Hunan Automotive Engineering Vocational University, Zhuzhou, China
*
Corresponding author: Quan Shen; Email: shenquan@hut.edu.cn

Abstract

The evolution of the crystal structure and mechanical behavior of Ca-montmorillonite (Ca-Mnt) under varying degrees of hydration is crucial for understanding its swelling properties. The objective of the present study was to investigate systematically the microstructural changes and stress–strain response of Ca-Mnt through molecular dynamics (MD) simulations, supplemented by experimental validation. By employing stress–strain hysteresis curves, the equivalent damping ratio was characterized by quantifying the impact of hydration on energy dissipation. The results indicated that, within the investigated hydration range, the absolute value of the mean H2O–Mnt interfacial interaction energy decreased with increasing hydration; as the water content increased from 300 mgwater per gclay to 420 mgwater per gclay, the average interfacial energy was reduced by ~2.65 eV Å–2. Hydration had a significant influence on the mechanical properties of Ca-Mnt, particularly in the Z-direction, in which the tensile strength decreased, whereas the compressive strength increased with greater degrees of hydration. The stress–strain hysteresis curves shifted progressively to the right as hydration intensified, demonstrating pronounced non-linearity and energy dissipation characteristics. The equivalent damping ratio initially decreased and then increased with increasing degrees of hydration, highlighting the dual effect of hydration on energy dissipation. This study validates the reliability of the simulation results and provides theoretical insights for understanding the hydration-induced expansion mechanisms of montmorillonite and its engineering applications.

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Type
Original Paper
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of The Clay Minerals Society

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References

Berendsen, H.J.C., Grigera, J.R., & Straatsma, T.P. (1987). The missing term in effective pair potentials. Journal of Chemical Physics, 91, 62696271. https://doi.org/10.1021/j100308a038Google Scholar
Boulet, P., Greenwell, H.C., Stackhouse, S., & Coveney, P.V. (2006). Recent advances in understanding the structure and reactivity of clays using electronic structure calculations. Journal of Molecular Structure-Theochem, 762, 3348. https://doi.org/10.1016/j.theochem.2005.10.028Google Scholar
Chang, F.R.C., Skipper, N.T., & Sposito, G. (1995). Computer simulation of interlayer molecular structure in sodium montmorillonite hydrates. Langmuir, 11, 27342741. https://doi.org/10.1021/la00007a064Google Scholar
Cygan, R.T. (2001). Molecular modeling in mineralogy and geochemistry. Reviews in Mineralogy and Geochemistry, 42, 135. https://doi.org/10.2138/rmg.2001.42.1Google Scholar
Cygan, R.T., Liang, J., & Kalinichev, A.G. (2004). Molecular models of hydroxide, oxyhydroxide, and clay phases and the development of a general force field. Journal of Chemical Physics B, 108, 12551266. https://doi.org/10.1021/jp0363287Google Scholar
Ebrahimi, D., Pellenq, R.J.M., & Whittle, A.J. (2012). Nanoscale elastic properties of montmorillonite upon water adsorption. Langmuir, 28, 1685516863. https://doi.org/10.1021/la302997gGoogle Scholar
Ebrahimi, D., Whittle, A.J., & Pellenq, R.J.M. (2014). Mesoscale properties of clay aggregates from potential of mean force representation of interactions between nanoplatelets. Journal of Chemical Physics, 140, 154309.Google Scholar
Emmerich, K., Koeniger, F., Kaden, H., & Thissen, P. (2015). Microscopic structure and properties of discrete water layer in Na-exchanged montmorillonite. Journal of Colloid and Interface Science, 448, 2431. https://doi.org/10.1016/j.jcis.2015.01.087Google Scholar
Feng, W.Q., Al-Zaoari, K., & Chen, Z.J. (2024). Insight on molecular interactions in shrinkage of Na-montmorillonite clay by molecular dynamics simulation. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 10, 109. https://doi.org/10.1007/s40948-024-00828-zGoogle Scholar
Fink, D.H., & Thomas, G.W. (1964). X-ray studies of crystalline swelling in montmorillonites. Soil Science Society of America Journal, 28, 747750. https://doi.org/10.2136/sssaj1964.03615995002800060021x.Google Scholar
Graczyk, J.F., & Moss, S.C. (1969). Scanning electron diffraction attachment with electron energy filtering. Review of Scientific Instruments, 40, 424433. https://doi.org/10.1063/1.1683964.Google Scholar
Han, Z.F., Yang, H., & He, M.C. (2019). A molecular dynamics study on the structural and mechanical properties of hydrated kaolinite system under tension. Materials Research Express, 6, 0850c3. https://doi.org/10.1088/2053-1591/ab2562Google Scholar
Hantal, G., Brochard, L., Laubie, H., Ebrahimi, D., Pellenq, R.J.M., Ulm, F.J., & Coasne, B. (2014). Atomic-scale modelling of elastic and failure properties of clays. Molecular Physics, 112, 12941305. https://doi.org/10.1080/00268976.2014.897393Google Scholar
Hou, D.S., Zhang, J.L., Pan, W., Zhang, Y., & Zhang, Z.H. (2020). Nanoscale mechanism of ions immobilized by the geopolymer: a molecular dynamics study. Journal of Nuclear Materials, 528, 151841. https://doi.org/10.1016/j.jnucmat.2019.151841Google Scholar
Karaborni, S., Smit, B., Heidug, W., Urai, J., & Van, O.E. (1996). The swelling of clays: molecular simulations of the hydration of montmorillonite. Science, 271, 11021104. https://doi.org/10.1126/science.271.5252.1102Google Scholar
Katti, D.R., Schmidt, S.R., Ghosh, P., & Katti, K.S. (2007). Molecular modeling of the mechanical behavior and interactions in dry and slightly hydrated sodium montmorillonite interlayer. Canadian Geotechnical Journal, 44, 425435. https://doi.org/10.1139/T06-127Google Scholar
Katti, D.R., Thapa, K.B., & Katti, K.S. (2018). The role of fluid polarity in the swelling of sodium-montmorillonite clay: a molecular dynamics and Fourier transform infrared spectroscopy study. Journal of Rock Mechanics and Geotechnical Engineering, 10, 11331144. https://doi.org/10.1016/j.jrmge.2018.07.001Google Scholar
Kuang, L.F. (2014). Multi-scale study on the basic mechanisms of high stress mechanical properties for saturated montmorillonite. PHD thesis, China University of Mining & Technology Xuzhou.Google Scholar
Kumar, R., Schmidt, J.R., & Skinner, J.L. (2007). Hydrogen bonding definitions and dynamics in liquid water. Journal of Chemical Physics, 126, 05B611. https://doi.org/10.1063/1.2742385Google Scholar
Li, Y.T., Nair, A.K.N., Kadoura, A., Yang, Y.F., & Sun, S.Y. (2019). Molecular simulation study of montmorillonite in contact with water. Industrial & Engineering Chemistry Research, 58, 13961403. https://doi.org/10.1021/acs.iecr.8b05125Google Scholar
Li, D.B., Li, G.Z., Bai, Z.T., Han, Z.F., & Lu, W. (2023). Deformation and failure processes of Na-montmorillonite under uniaxial compressive strain condition via molecular dynamics method. Materials Today Communications, 35, 106132. https://doi.org/10.1016/j.mtcomm.2023.106132Google Scholar
Li, B.N., Li, C.K., Gui, Y.L., Zhan, H.F., Gu, Y.T., Yu, M., & Rowe, R.K. (2024). Understanding structural anisotropy and mechanical properties of Na-montmorillonite with crystalline swelling and uniaxial deformation under different hydration degrees. Computers and Geotechnics, 169, 106200. https://doi.org/10.1016/j.compgeo.2024.106200Google Scholar
Lin, P., Ni, J.J., Garg, A., & Yu, S.M. (2020). Effects of clay minerals on small-strain shear modulus and damping ratio of saturated clay. Soil Mechanics and Foundation Engineering, 57, 105109. https://doi.org/10.1007/s11204-020-09644-5Google Scholar
Liu, L.B., Zhang, C., Jiang, W.J., Li, X., Dai, Y.C., & Jia, H.Z. (2021). Understanding the sorption behaviors of heavy metal ions in the interlayer and nanopore of montmorillonite: a molecular dynamics study. Journal of Hazardous Materials, 416, 125976. https://doi.org/10.1016/j.jhazmat.2021.125976Google Scholar
Manevitch, O.L., & Rutledge, G.C. (2004). Elastic properties of a single lamella of montmorillonite by molecular dynamics simulation. Journal of Chemical Physics B, 108, 14281435. https://doi.org/10.1021/jp0302818Google Scholar
Mao, H., Huang, Y., Luo, J.Z., & Zhang, M.S. (2021). Molecular simulation of polyether amines intercalation into Na-montmorillonite interlayer as clay-swelling inhibitors. Applied Clay Science, 202, 105991. https://doi.org/10.1016/j.clay.2021.105991Google Scholar
Norrish, K. (1954). The swelling of montmorillonite. Discussions of the Faraday Society, 18, 120134.Google Scholar
Rollins, K.M., Evans, M.D., Diehl, N.B., & Lii, W.D.D. (1998). Shear modulus and damping relationships for gravels. Journal of Geotechnical and Geoenvironmental Engineering, 124, 396405.Google Scholar
Saiyouri, N., Tessier, D., & Hicher, P.Y. (2004). Experimental study of swelling in unsaturated compacted clays. Clay Minerals, 39, 469479. https://doi.org/10.1180/0009855043940148Google Scholar
Schmidt, S.R., Katti, D.R., Ghosh, P., & Katti, K.S. (2005). Evolution of mechanical response of sodium montmorillonite interlayer with increasing hydration by molecular dynamics. Langmuir, 21, 80698076. https://doi.org/10.1021/la050615fGoogle Scholar
Seed, H.B., Wong, R.T., Idriss, I.M., & Tokimatsu, K. (1986). Moduli and damping factors for dynamic analyses of cohesionless soils. Journal of Geotechcnical Engineering, 112, 10161032. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:11(1016)Google Scholar
Seo, Y.S., Ichikawa, Y., & Kawamura, K. (1999). Stress–strain response of rock-forming minerals by molecular dynamics simulation. Materials Science Research International, 5, 1320. https://doi.org/10.2472/jsms.48.3Appendix_13Google Scholar
Smith, D.E., Wang, Y., Chaturvedi, A., & Whitley, H.D. (2006). Molecular simulations of the pressure, temperature, and chemical potential dependencies of clay swelling. Journal of Chemical Physics B, 110, 2004620054. https://doi.org/10.1021/jp062235oGoogle Scholar
Su, Y., Cui, Y.J., Dupla, J.C., & Canou, J. (2021). Effect of water content on resilient modulus and damping ratio of fine/coarse soil mixtures with varying coarse grain contents. Transportation Geotechnics, 26, 100452. https://doi.org/10.1016/j.trgeo.2020.100452Google Scholar
Sun, L.L., Hirvi, J.T., Schatz, T., Kasa, S., & Pakkanen, T.A. (2015). Estimation of montmorillonite swelling pressure: a molecular dynamics approach. Journal of Chemical Physics C, 119, 1986319868. https://doi.org/10.1021/acs.jpcc.5b04972Google Scholar
Tennakoon, N., & Indraratna, B. (2014). Behaviour of clay-fouled ballast under cyclic loading. Géotechnique, 64, 502506. https://doi.org/10.1680/geot.13.T.033Google Scholar
Underwood, T.R., & Bourg, I.C. (2020). Large-scale molecular dynamics simulation of the dehydration of a suspension of smectite clay nanoparticles. Journal of Chemical Physics C, 124, 37023714. https://doi.org/10.1021/acs.jpcc.9b11197Google Scholar
Viani, A., Gualtieri, A.F., & Artioli, G. (2002). The nature of disorder in montmorillonite by simulation of X-ray powder patterns. American Mineralogist, 87, 966975. https://doi.org/10.2138/am-2002-0720Google Scholar
Wang, C.L., Myshkin, V.F., Bespala, E.V., Poberezhnikov, A.D., Baraban, A.P., Shukshina, D.D., & Semenov, D.A. (2023). Structure and properties of montmorillonite containing Ca2+, Sr2+, and Ba2+ cations simultaneously. Journal of Molecular Liquids, 382, 121994. https://doi.org/10.1016/j.molliq.2023.121994Google Scholar
Wei, P.C., Zhang, L.L., Zheng, Y.Y., Diao, Q.F., Zhuang, D.Y., & Yin, Z.Y. (2021). Nanoscale friction characteristics of hydrated montmorillonites using molecular dynamics. Applied Clay Science, 210, 106155. https://doi.org/10.1016/j.clay.2021.106155Google Scholar
Wei, P.C., Zheng, Y.Y., Xiong, Y., Zhou, S.B., Al-Zaoari, K., & Zaoui, A. (2022). Effect of water content and structural anisotropy on tensile mechanical properties of montmorillonite using molecular dynamics. Applied Clay Science, 228, 106622. https://doi.org/10.1016/j.clay.2022.106622Google Scholar
Whitley, H.D., & Smith, D.E. (2004). Free energy, energy, and entropy of swelling in Cs-, Na-, and Sr-montmorillonite clays. Journal of Chemical Physics, 120, 53875395. https://doi.org/10.1063/1.1648013Google Scholar
Xu, Z., Niu, Z.W., Pan, D.Q., Zhao, X.D., Wei, X.Y., Li, X.L., Tan, Z.Y., Chen, X.M., Liu, C.L., & Wu, W.S. (2021). Mechanisms of bentonite colloid aggregation, retention, and release in saturated porous media: role of counter ions and humic acid. Science of the Total Environment, 793, 148545. https://doi.org/10.1016/j.scitotenv.2021.148545Google Scholar
Yang, H., He, M.C., Lu, C.S., & Gong, W.L. (2019a). Deformation and failure processes of kaolinite under tension: insights from molecular dynamics simulations. Science China-Physics Mechanics & Astronomy, 62, 064612. https://doi.org/10.1007/s11433-018-9316-3Google Scholar
Yang, Y.F., Nair, A.K.N., & Sun, S.Y. (2019b). Layer charge effects on adsorption and diffusion of water and ions in interlayers and on external surfaces of montmorillonite. ACS Earth and Space Chemistry, 3, 26352645. https://doi.org/10.1021/acsearthspacechem.9b00236Google Scholar
Yotsuji, K., Tachi, Y., Sakuma, H., & Kawamura, K. (2021). Effect of interlayer cations on montmorillonite swelling: comparison between molecular dynamic simulations and experiments. Applied Clay Science, 204, 106034. https://doi.org/10.1016/j.clay.2021.106034Google Scholar
Zhang, F., Xie, S.Y., Hu, D.W., Shao, J.F., & Gatmiri, B. (2012). Effect of water content and structural anisotropy on mechanical property of claystone. Applied Clay Science, 69, 7986. https://doi.org/10.1016/j.clay.2012.09.024Google Scholar
Zhao, H.H., Cui, H.W., Jiang, S.Q., Awadalseed, W., Guo, J., Yang, W., & Kang, X. (2023). Tensile and compressive behavior of Na-, K-, Ca-montmorillonite and temperature effects. Chemical Physics, 569, 111855. https://doi.org/10.1016/j.chemphys.2023.111855Google Scholar
Zheng, Y., Zaoui, A., & Shahrour, I. (2011). A theoretical study of swelling and shrinking of hydrated Wyoming montmorillonite. Applied Clay Science, 51, 177181. https://doi.org/10.1016/j.clay.2010.10.027.Google Scholar
Zheng, Y., & Zaoui, A. (2018). Mechanical behavior in hydrated Na-montmorillonite clay. Physica A, 505, 582590. https://doi.org/10.1016/j.physa.2018.03.093Google Scholar
Zhu, L.P., Shen, W.Q., Shao, J.F., & He, M.C. (2021). Insight of molecular simulation to better assess deformation and failure of clay-rich rocks in compression and extension. International Journal of Rock Mechanics and Mining Sciences, 138, 104589. https://doi.org/10.1016/j.ijrmms.2020.104589Google Scholar
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