journal article·2025-05-26Open access

Development and Validation of a Coupled Hygro-Chemical and Thermal Transport Model in Concrete Using Parallel FEM

Okpin Na, Giyeol Lee

Applied Sciences· Volume 15· Issue 11

Abstract

The durability of reinforced concrete structures in aggressive environments is strongly influenced by the ingress of chloride and other harmful ions, which is further complicated under partially saturated conditions, due to the coexistence of liquid and gas phases within the pore network. This study aimed to develop a predictive moisture–chemical–temperature model and to elucidate the mechanisms governing ion transport in partially saturated concrete. A multi-species hygro-chemo-thermo transport model was formulated based on the Nernst–Planck equation, incorporating electroneutrality, zero current conditions, and the coupled effects of moisture and temperature gradients. The model was numerically implemented using a parallel FE method with the Crank–Nicolson scheme, supported by domain decomposition and SPMD techniques for high computational efficiency. As a result, experimental validation was performed through chloride ponding tests under varying temperature conditions (20 °C, 35 °C, 50 °C), water-to-cement ratios (0.55, 0.65), and relative humidity differences (100%, 60%). The simulation results showed good agreement with the experimental data and confirmed that the proposed model can effectively predict chloride penetration under both isothermal and non-isothermal conditions. Additionally, the simulations revealed that moisture gradients accelerate ion transport, as the inward migration of the moisture front enhances the diffusion rates of chloride, sodium, and calcium ions until a steady-state moisture distribution is reached.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Concrete Properties and Behavior · Concrete and Cement Materials Research

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

Affiliations

Hyundai E&C Technology Research Center, Seoul 03058, Republic of Korea

Department of Landscape Architecture, College of Agriculture and Life Science, Chonnam National University, Gwangju 61186, Republic of Korea

References (48)

Show source-provided references
1. Malhotra, V.M. (1980). Durability of Concrete in Marine Environment—A Review. Performance of Concrete in Marine Environment, ACI Publication.
2. Thomas, M.D.A., and Moffatt, E.G. (2018, January 2–5). The Performance of Concrete in a Marine Environment. Proceedings of the ICDCS 2018, Vienna, Austria.
3. Pratiwi, W.D., Putra, F.D.D., Tajunnisa, Y., Husin, N.A., and Wulandari, K.D. (2021). A Review of Concrete Durability in Marine Environment, IOP Publishing Ltd.10.1088/1757-899X/1175/1/012018 ↗
4. Coppola, L., Beretta, S., Bignozzi, M.C., Bolzoni, F., Brenna, A., Cabrini, M., Candamano, S., Caputo, D., Carsana, M., and Cioffi, R. (2022). The Improvement of Durability of Reinforced Concretes for Sustainable Structures: A Review on Different Approaches. Materials, 15.10.3390/ma15082728 ↗
5. An Experimental Study on the Effect of Chloride Penetration on Moisture Diffusion in Concrete10.1007/BF02480359 ↗
6. Chloride penetration in Nonsaturated concrete10.1061/(ASCE)0899-1561(2003)15:2(183) ↗
7. Parallel finite element method for coupled chloride moisture diffusion in concrete
8. Modelling of electrochemical chloride extraction from concrete: Influence of ionic activity coefficients10.1016/S0927-0256(97)00152-3 ↗
9. Finite element modeling of chloride removal from concrete by an electrochemical method10.1016/S0010-938X(00)00044-5 ↗
10. Numerical simulation of multi-species diffusion10.1007/BF02480537 ↗
11. Penetration of ionic species into saturated porous media: The case of concrete10.1002/er.925 ↗
12. Prediction of chloride ingress into saturated concrete on the basis of multi-species model by numerical calculations10.12989/cac.2006.3.6.401 ↗
13. A two-dimensional model of electrochemical chloride removal from concrete10.1016/S0927-0256(00)00177-4 ↗
14. Modelling of chloride ingress into concrete from a saline environment10.1016/j.buildenv.2005.02.001 ↗
15. Yogarajah, E., Hatanaka, A., Kurumisawa, K., and Nawa, T. (2017, January 22–25). Modelling of Chloride Ion Transport in Slag Blended Cementitious Materials: Influence of Tortuosity and Surface Electrical Properties. Proceedings of the 3rd International Congress on Durability of Concrete, Adelaide, Australia.
16. Modeling chemical activity effects in strong ionic solutions10.1016/S0927-0256(99)00017-8 ↗
17. Numerical Solution of the Extended Nernst–Planck Model10.1006/jcis.1999.6145 ↗
18. Modeling the transport of ions in unsaturated cement-based materials10.1016/j.compstruc.2007.04.008 ↗
19. Chloride diffusion in partially saturated cementitious material10.1016/S0008-8846(02)00939-0 ↗
20. Modelling of Multi-species Transport in Concrete Under the Action of External Electric Field: Influence of the Overpotential at Electrode-electrolyte10.1016/j.jelechem.2022.116079 ↗
21. A Multi-species Reactive Transport Model Based on Ion-solid Phase Interaction for Saturated Cement-based Materials10.1016/j.cemconres.2022.106861 ↗
22. Enhancement of a Multi-species Reactive Transport Model for Cement-based Materials under Cyclic Wetting and Drying Conditions10.1016/j.jobe.2023.107532 ↗
23. A Multi-species Reactive Transport Model Based on Gas-ion-solid Phase Interaction for the Carbonation of Cement-based Materials10.1016/j.cemconres.2023.107349 ↗
24. Moisture diffusion in cementitious materials: Adsorption isotherm10.1016/1065-7355(94)90033-7 ↗
25. Moisture diffusion in cementitious materials: Moisture capacity and diffusivity10.1016/1065-7355(94)90034-5 ↗
26. Pore Pressure and Drying of concrete at high temperature10.1061/JMCEA3.0002404 ↗
27. Finite element program for moisture and heat transfer in heated concrete10.1016/0029-5493(82)90040-1 ↗
28. The carbonation of concrete and the mechanism of moisture, heat and carbonation dioxide flow through porous materials10.1016/0008-8846(93)90030-D ↗
29. Transient hygrothermal stresses in composites: Coupling of moisture and heat with temperature varying diffusivity10.1016/0020-7225(80)90004-X ↗
30. Mass transfer in inhomogeneous porous media under thermal gradients10.1016/S0029-5493(97)00267-7 ↗
31. Thermo-Chemo-Mechanical Model for Concrete. I: Hydration and Aging10.1061/(ASCE)0733-9399(1999)125:9(1018) ↗
32. A Coupled Hygro-thermo-mechanical Model for Concrete Subjected to Variable Environmental Conditions10.1016/j.ijsolstr.2016.03.004 ↗
33. Maric, M.K., Ozbolt, J., and Balabanic, G. (October, January 30). Application of the 3D Chemo-hygro-thermo Mechanical Model on Existing Bridges Exposed to Chlorides and Mechanical Damages. Proceedings of the 7th International Conference on Euro Asia Civil Engineering Forum, Stuttgart, Germany.
34. Finite element modelling of coupled heat transfer, moisture transport and carbonation processes in concrete structures10.1016/S0958-9465(02)00125-7 ↗
35. The Effect of Temperature Variation on Chloride Penetration in Concrete10.1016/j.conbuildmat.2017.08.139 ↗
36. Tabrizinejadas, S., Carrayrou, J., Saaltink, M.W., Baalousha, H.M., and Fahs, M. (2021). On the Validity of the Null Current Assumption for Modeling Sorptive Reactive Transport and Electro-Diffusion in Porous Media. Water, 13.10.3390/w13162221 ↗
37. Multiscale modeling of interactive diffusion processes in concrete10.1061/(ASCE)0733-9399(2000)126:3(258) ↗
38. Modeling Chloride Penetration in Saturated Concrete10.1061/(ASCE)0899-1561(1999)11:1(58) ↗
39. Christensen, R.M. (1978). Mechanics of Composite Materials, Wiley.
40. The effect of moisture transport on chloride penetration in concrete10.1016/j.conbuildmat.2016.08.124 ↗
41. (2025, March 19). Triangle. Available online: https://www.cs.cmu.edu/~quake/triangle.html.
42. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M.G., McInnes, L.C., Smith, B.F., and Zhang, H. (2008). PETSc-Users Manual. Technical Report ANL-95/11—Revision 2.1.5, Argonne National Laboratory.
43. MPICH Team (2025, March 19). MPICH: A Portable Implementation of MPI. 1996–2005, Available online: https://www.anl.gov/mcs/mpich-a-highperformance-portable-implementation-of-mpi.
44. Karypis, G. (2025, March 19). ParMETIS: Parallel Graph Partitioning and Sparse Matrix Ordering. 1996–2005. Available online: https://github.com/KarypisLab/ParMETIS.
45. (2025, March 19). Paraview. Available online: https://www.paraview.org/.
46. Cai, X.-C. (2003). Overlapping domain decomposition methods. Advanced Topics in Computational Partial Differential Equations, Springer. Chapter 2.10.1007/978-3-642-18237-2_2 ↗
47. Overlapping domain decomposition algorithms for general sparse matrices10.1002/(SICI)1099-1506(199605/06)3:3<221::AID-NLA80>3.0.CO;2-7 ↗
48. Temperature effect on multi-ionic species diffusion in saturated concrete10.12989/cac.2014.13.2.149 ↗