journal article·2024-09-21Open access

Creep of Calcium Hydroxide from Stress-induced Dissolution: Kinetic Monte Carlo Simulations

Enrico Masoero

Abstract

Mechanical stress can promote dissolution of calcium hydroxide in concrete; combined with carbonation, this may accelerate creep, damage, and corrosion. The existing microstructural simulators struggle with stress-induced dissolution processes, because of their strong chemo-mechanical coupling. This article presents results from recent Kinetic Monte Carlo simulations of dissolution and precipitation of solid phases, described as mechanically interacting particles. Chemo-mechanical coupling is embedded in the chemical reaction rates, featuring both chemical potentials of ions in solution and mechanical stress in the solid. The simulations are applied to a calcium hydroxide crystal, at chemical equilibrium in a solution of its ions but compressed between two stiff platens. Depending on the applied stress, the crystal partially dissolves and recrystallizes, producing an apparent viscoplastic deformation process. The simulation results inform mathematical creep laws with a size effect, as the strain rate depends on the crystal size. Upper-bound creep moduli for typical calcium hydroxide crystals in concrete are estimated as 237 to 2370 GPa, and carbonation would likely reduce them. This indicates that stress-induced dissolution of calcium hydroxide may underpin the nonlinear acceleration of concrete creep during carbonation. An experimental strategy to assess this mechanism is finally proposed, leveraging the size effect argument.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Crystallization and Solubility Studies · Thermal and Kinetic Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Italy.

References (35)

Show source-provided references
1. 1) Alex, A. and Masoero, E., (2022). “Autogenous healing in cement: A Kinetic Monte Carlo simulation of CaCO3 precipitation.” In: G. Meschke, B. Pichler and J. G. Rots, Eds. Computational Modelling of Concrete and Concrete Structures. Boca Raton, Florida, USA: CRC Press, 102-106.10.1201/9781003316404-12 ↗
2. 2) Alex, A., Freeman, B., Jefferson, A. and Masoero, E., (2023). “Carbonation and self-healing in concrete: Kinetic Monte Carlo simulations of mineralization”. Cement and Concrete Composites, 144, 105281.10.1016/j.cemconcomp.2023.105281 ↗
3. 3) Bagga, M., Hamley-Bennett, C., Alex, A., Freeman, B. L., Justo-Reinoso, I., Mihai, I. C., Gebhard, S., Paine, K., Jefferson, A. D., Masoero, E. and Ofiţeru, I. D., (2022). “Advancements in bacteria based self-healing concrete and the promise of modelling.” Construction and Building Materials, 358, 129412.10.1016/j.conbuildmat.2022.129412 ↗
4. 4) Bažant, Z. P. and Jirásek, M., (2018). “Creep and hygrothermal effects in concrete structures.” Dordrecht, The Netherlands: Springer Netherlands.10.1007/978-94-024-1138-6 ↗
5. 5) Bullard, J. W., (2007). “A three-dimensional microstructural model of reactions and transport in aqueous mineral systems.” Modelling and Simulation in Materials Science and Engineering, 15(7), 711-738.10.1088/0965-0393/15/7/002 ↗
6. 6) Bullard, J. W., Enjolras, E., George, W. L., Satterfield, S. G. and Terrill, J. E., (2010). “A parallel reaction-transport model applied to cement hydration and microstructure development.” Modelling and Simulation in Materials Science and Engineering, 18(2), 025007.10.1088/0965-0393/18/2/025007 ↗
7. 7) Coopamootoo, K. and Masoero, E., (2020). “Simulations of crystal dissolution using interacting particles: Prediction of stress evolution and rates at defects and application to tricalcium silicate.” Journal of Physical Chemistry C, 124(36), 19603-19615.10.1021/acs.jpcc.0c04633 ↗
8. 8) Coopamootoo, K. and Masoero, E., (2024). “Simulations of tricalcium silicate dissolution at screw dislocations: Effects of finite crystal size and mechanical interaction potentials.” Cement and Concrete Research, 175, 107384.10.1016/j.cemconres.2023.107384 ↗
9. 9) Domínguez, A., Jimenez, R., López-Cornejo, P., Pérez, P. and Sánchez, F., (1998). “On the calculation of transition state activity coefficient and solvent effects on chemical reactions.” Collection of Czechoslovak Chemical Communications, 63(12), 1969-1976.10.1135/cccc19981969 ↗
10. 10) Estrela, C., Estrela, C. R. D. A., Guimarães, L. F., Silva, R. S. and Pécora, J. D., (2005). “Surface tension of calcium hydroxide associated with different substances.” Journal of Applied Oral Science, 13, 152-156.10.1590/S1678-77572005000200011 ↗
11. 11) Ioannidou, K., Labbez, C. and Masoero, E., (2022). “A review of coarse grained and mesoscale simulations of C–S–H.” Cement and Concrete Research, 159, 106857.10.1016/j.cemconres.2022.106857 ↗
12. 12) Lasaga, A. C., (1998). “Kinetic theory in the earth sciences.” New Jersey, USA: Princeton University Press.10.1515/9781400864874 ↗
13. 13) Li, X., Grasley, Z. C., Bullard, J. W. and Feng, P., (2018). “Creep and relaxation of cement paste caused by stress‐induced dissolution of hydrated solid components.” Journal of the American Ceramic Society, 101(9), 4237-4255.10.1111/jace.15587 ↗
14. 14) Li, X., Grasley, Z. C., Bullard, J. W. and Garboczi, E. J., (2017). Irreversible desiccation shrinkage of cement paste caused by cement grain dissolution and hydrate precipitation.” Materials and Structures, 50, 104.10.1617/s11527-016-0974-6 ↗
15. 15) Li, X., Grasley, Z. C., Garboczi, E. J. and Bullard, J. W., (2015). “Modeling the apparent and intrinsic viscoelastic relaxation of hydrating cement paste.” Cement and Concrete Composites, 55, 322-330.10.1016/j.cemconcomp.2014.09.012 ↗
16. 16) Lolli, F., Manzano, H., Provis, J. L., Bignozzi, M. C. and Masoero, E., (2018). “Atomistic simulations of geopolymer models: The impact of disorder on structure and mechanics.” ACS Applied Materials & Interfaces, 10(26), 22809-22820.10.1021/acsami.8b03873 ↗
17. 17) Manzano, H., Masoero, E., Lopez-Arbeloa, I. and Jennings, H. M., (2013). “Shear deformations in calcium silicate hydrates.” Soft Matter, 9(30), 7333-7341.10.1039/c3sm50442e ↗
18. 18) MASKE, (2023). “Open source software: Microstructural simulator of kinetic evolution simulator [online].” San Francisco, California, USA: Github Inc. Available from: < https://github.com/emasoero/MASKE >.
19. 19) Masoero, E., (2023). “MASKE: Particle-based chemo-mechanical simulations of degradation processes.” In: A. Jędrzejewska, F. Kanavaris, M. Azenha, F. Benboudjema, and D. Schlicke, Eds. Proc. International RILEM Conference on Synergising Expertise towards Sustainability and Robustness of Cement-based Materials and Concrete Structures (Syncrete’23), Milos, Greece 14-16 June 2023. Cham: Springer Nature Switzerland, Vol. 1, 159-170.10.1007/978-3-031-33211-1_15 ↗
20. 20) Masoero, E., (2024). “MASKE: A kinetic simulator of coupled chemo-mechanical processes driving microstructural evolution.” Journal of Engineering Mechanics (accepted for publication).10.2139/ssrn.4651511 ↗
21. 21) Masoero, E., Jennings, H. M., Ulm, F. J., Del Gado, E., Manzano, H., Pellenq, R. J. M. and Yip, S., (2014). “Modelling cement at fundamental scales: From atoms to engineering strength and durability.” In: N. Bićanić, H. Mang, G. Meschke and R. de Borst, Eds. Computational Modelling of Concrete and Concrete Structures. Boca Raton, Florida, USA: CRC Press, Volume 1, 139-148.10.1201/b16645-16 ↗
22. 22) Mason, D. R., Rudd, R. E. and Sutton, A. P., (2004). “Stochastic Kinetic Monte Carlo algorithms for long-range Hamiltonians.” Computer Physics Communications, 160(2), 140-157.10.1016/j.cpc.2004.04.002 ↗
23. 23) Meakin, P. and Rosso, K. M., (2008). “Simple Kinetic Monte Carlo models for dissolution pitting induced by crystal defects.” Journal of Chemical Physics, 129(20), 204106.10.1063/1.3021478 ↗
24. 24) Moradian, M., Ley, M. T. and Grasley, Z. C., (2018). “Stress induced dissolution and time-dependent deformation of portland cement paste.” Materials & Design, 157, 314-325.10.1016/j.matdes.2018.07.060 ↗
25. 25) Parrott, L. J., (1975). “Increase in creep of hardened cement paste due to carbonation under load.” Magazine of Concrete Research, 27(92), 179-181.10.1680/macr.1975.27.92.179 ↗
26. 26) Shvab, I., Brochard, L., Manzano, H. and Masoero, E., (2017). “Precipitation mechanisms of mesoporous nanoparticle aggregates: Off-lattice, coarse-grained, kinetic simulations.” Crystal Growth & Design, 17(3), 1316-1327.10.1021/acs.cgd.6b01712 ↗
27. 27) Tamtsia, B. T., Beaudoin, J. J. and Marchand, J., (2002). “Time-dependent load-induced deformation of Ca(OH)2.” Advances in Cement Research, 14(4), 135-139.10.1680/adcr.2002.14.4.135 ↗
28. 28) Taylor, H. F., (1997). “Cement chemistry” London: Thomas Telford.10.1680/cc.25929 ↗
29. 29) Thomas, J. J., Biernacki, J. J., Bullard, J. W., Bishnoi, S., Dolado, J. S., Scherer, G. W. and Luttge, A., (2011). “Modeling and simulation of cement hydration kinetics and microstructure development”. Cement and Concrete Research, 41(12), 1257-1278.10.1016/j.cemconres.2010.10.004 ↗
30. 30) Thompson, A. P., Aktulga, H. M., Berger, R., Bolintineanu, D. S., Brown, W. M., Crozier, P. S., int’Veld, P. J., Kohlmeyer, A., Moore, S. G., Nguyen, T. D. and Shan, R., (2022). “LAMMPS - A flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales”. Computer Physics Communications, 271, 108171.10.1016/j.cpc.2021.108171 ↗
31. 31) Truesdell, A. H. and Jones, B. F., (1974). “WATEQ, a computer program for calculating chemical equilibria of natural waters.” Journal of Research of the U. S. Geological Survey, 2(2), 233-248.
32. 32) Vandamme, M. and Ulm, F. J., (2009). “Nanogranular origin of concrete creep.” Proceedings of the National Academy of Sciences of the United States of America, 106(26), 10552-10557.10.1073/pnas.0901033106 ↗
33. 33) Voter, A. F., (2007). “Introduction to the Kinetic Monte Carlo method.” In: K. E. Sickafus, E. A. Kotomin and B. P. Uberuaga, Eds. Radiation Effects in Solids. Dordrecht, The Netherlands: Springer Netherlands, 1-23.10.1007/978-1-4020-5295-8_1 ↗
34. 34) Wittmann, F. H., (1986). “Estimation of the modulus of elasticity of calcium hydroxide.” Cement and Concrete Research, 16(6), 971-972.10.1016/0008-8846(86)90021-9 ↗
35. 35) Wyrzykowski, M., Scrivener, K. and Lura, P., (2019). “Basic creep of cement paste at early age-the role of cement hydration.” Cement and Concrete Research, 116, 191-201.10.1016/j.cemconres.2018.11.013 ↗