Citation: Frédéric Grondin. Review on the modelling methods for the frost action characterization in cementitious materials at different scales[J]. AIMS Materials Science, 2019, 6(6): 884-899. doi: 10.3934/matersci.2019.6.884
[1] | Pigeon M, Pleau R (1995) Durability of Concrete in Cold climates, 1st Ed., London: CRC Press. |
[2] | Power TC (1945) A working hypothesis for further studies of frost resistance of concrete. ACI Jour 41: 245-272. |
[3] | Pigeon M, Marchand J, Pleau R (1996) Frost resistant concrete. Constr Build Mater 10: 339-348. |
[4] | Hobbs PV (1974) Ice Physics, London: Oxford University Press. |
[5] | Powers TC (1955) Basic considerations pertaining to freezing-and-thawing tests. ASTM Proceedings 55: 1132-1155. |
[6] | Powers TC, Willis TF (1950) The air requirement of frost resistant concrete. Highw Res Board Proc 29: 184-211. |
[7] | Litvan GG (1973) Frost action in cement paste. Mater Constr 6: 293-298. |
[8] | Mascarenhas WJ, Akay HU, Pikal MJ (1997) A computational model for finite element analysis of the freeze-drying process. Comput Methods Appl Mech Engrg 148: 105-124. |
[9] | Schulson EM (1998) Ice damage to concrete. USA-CRREL Special Report 98-6. |
[10] | Penttala V (1999) Strains and pressures induced by freezing mortars exposed in sodium chloride solution. Concr Sci Eng 1: 2-14. |
[11] | Powers TC, Helmuth RA (1953) Theory of volume changes in hardened portland-cement paste during freezing. Highw Res Board Proc 32: 285-297. |
[12] | Léger P, Cote M, Tinawi R (1995) Thermal protection of concrete dams subjected to freeze-thaw cycles. Can J Civ Eng 22: 588-602. |
[13] | Huon V, Cousin B, Maisonneuve O (2001) Mise en évidence et quantification des couplages thermomécaniques réversibles et irréversibles dans les bétons sains et endommagés par des cycles gel-dégel. Comptes Rendus de l'Académie des Sciences-Series ⅡB-Mechanics 329: 331-335. Available from: https://www.sciencedirect.com/science/article/pii/S1620774201013411. |
[14] | Verbeck GJ, Landgren R (1960) Influence of physical characteristics of aggregates on frost resistance of concrete. Proceedings of ASTM International 60: 1063-1079. |
[15] | Casbonne-Renaud F (1998) Comportement aux cycles gel-dégel des bétons de granulats calcaires [PhD's thesis]. Institut National Polytechnique de Lorraine, France. Available from: https://hal.univ-lorraine.fr/tel-01750749. |
[16] | Bager DH, Sellevold EJ (1986) Ice formation in hardened cement paste, part I-room temperature cured pastes with variable moisture contents. Cem Concr Res 16: 709-720. |
[17] | Bager DH, Sellevold EJ (1986) Ice formation in hardened cement paste, Part Ⅱ-drying and resaturation on room temperature cured pastes. Cem Concr Res 16: 835-844. |
[18] | Fen-Chong T, Fabbri A (2005) Freezing and thawing porous media: experimental study with a dielectric capacitive method. C R Mec 333: 425-430. |
[19] | Kaufmann J (1999) Experimental identification of damage mechanisms in cementitious porous materials on phase transition of pore solution under frost deicing salt attack [PhD's thesis]. Ecole polytechnique fédérale de Lausanne EPFL, Switzerland. |
[20] | Perron S, Beaudoin JJ (2002) Freezing of water in portland cement paste-an ac impedance spectroscopy study. Cem Concr Compos 24: 467-475. |
[21] | Setzer MJ, Liebrecht A (2002) Frost dilatation and pore system of hardened cement paste under different storage conditions, In: Setzer MZ, Auberg R, Keck H-J, 2nd Rilem International Workshop on Frost Resistance of Concrete, Cachan: RILEM Publications, 169-178. |
[22] | Geiker MR, Laugesen P (2001) On the effect of laboratory conditioning and freeze/thaw exposure on moisture profiles in HPC. Cem Concr Res 31: 1831-1836. |
[23] | Kruschwitz J, Bluhm J (2005) Modeling of ice formation in porous solids with regard to the description of frost damage. Comput Mater Sci 32: 407-417. |
[24] | Hain M, Wriggers P (2008) Computational homogenization of micro-structural damage due to frost in hardened cement paste. Finite Elem Anal Des 44: 233-244. |
[25] | Wardeh G, Perrin B (2008) Numerical modelling of the behaviour of consolidated porous media exposed to frost action. Constr Build Mater 22: 600-608. |
[26] | Zuber B, Marchand J (2000) Modeling the deterioration of hydrated cement systems exposed to frost action-Part 1: Description of the mathematical model. Cem Concr Res 30: 1929-1939. |
[27] | Liu Z, Yu X (2011) Coupled thermo-hydro-mechanical model for porous materials under frost action: theory and implementation. Acta Geotechnica 6: 51-65. |
[28] | Coussy O, Monteiro PJM (2008) Poroelastic model for concrete exposed to freezing temperatures. Cem Concr Res 38: 40-48. |
[29] | Matala S (1995) Effects of carbonation on the pore structure of granulated blast furnace slag concrete [PhD's thesis]. Helsinki University of Technology, Finland. |
[30] | Rahman S, Grasley Z (2014) A poromechanical model of freezing concrete to elucidate damage mechanisms associated with substandard aggregates. Cem Concr Res 55: 88-101. |
[31] | Liu L, Ye G, Schlangen E, et al. (2011) Modeling of the internal damage of saturated cement paste due to ice crystallization pressure during freezing. Cem Concr Res 33: 562-571. |
[32] | Ng K, Dai Q (2014) Numerical investigation of internal frost damage of digital cement paste samples with cohesive zone modeling and SEM microstructure characterization. Constr Build Mater 50: 266-275. |
[33] | Zeng Q, Fen-Chong T, Dangla P, et al. (2011) A study of freezing behavior of cementitious materials by poromechanical approach. Int J Solids Struct 48: 3267-3273. |
[34] | Koniorczyk M, Gawin D, Schrefler BA (2015) Modeling evolution of frost damage in fully saturated porous materials exposed to variable hygro-thermal conditions. Comput Methods Appl Mech Engrg 297: 38-61. |
[35] | Li B, Mao J, Nawa T, et al. (2017) Mesoscopic damage model of concrete subjected to freeze-thaw cycles using mercury intrusion porosimetry and differential scanning calorimetry (MIPDSC). Constr Build Mater 147: 79-90. |
[36] | Gong F, Sicat E, Zhang D, et al. (2015) Stress analysis for concrete materials under multiple freeze-thaw cycles. J Adv Concr Technol 13: 124-134. |
[37] | Hasan M, Okuyama H, Sato Y, et al. (2004) Stress-strain model of concrete damaged by freezing and thawing cycles. J Adv Concr Technol 2: 89-99. |
[38] | Piltner R, Monteiro PJM (2000) Stress analysis of expansive reactions in concrete. Cem Concr Res 30: 843-848. |
[39] | Fagerlund G (2004) A Service Life Model for Internal Frost Damage in Concrete. Lund: Lund University, 3119. |
[40] | Hanjari KZ, Utgenannt P, Lundgren K (2011) Experimental study of the material and bond properties of frost-damaged concrete. Cem Concr Res 41: 244-254. |
[41] | Jin S, Zhang J, Huang B (2013) Fractal analysis of effect of air void on freeze-thaw resistance of concrete. Constr Build Mater 47: 126-130. |
[42] | Karakoç MB, Demirboğa R, Türkmen İ, et al. (2011) Modeling with ANN and effect of pumice aggregate and air entrainment on the freeze-thaw durabilities of HSC. Constr Build Mater 25: 4241-4249. |
[43] | Štemberk P, da Silva WRL, Sýkorová J, et al. (2013) Fuzzy modeling of combined effect of winter road maintenance and cyclic loading on concrete slab bridge. Adv Eng Softw 62: 97-108. |
[44] | Kim S, Gopalakrishnan K, Ceylan H (2009) Neural networks application in pavement infrastructure materials. Intel Soft Comp in Infra Sys Eng 259: 47-66. |
[45] | Duan A, Tian Y, Dai JG, et al. (2014) A stochastic damage model for evaluating the internal deterioration of concrete due to freeze-thaw action. Mater Struct 47: 1025-1039. |
[46] | Chen F, Qiao P (2015) Probabilistic damage modeling and service-life prediction of concrete under freeze-thaw action. Mater Struct 48: 2697-2711. |