[4] YU H F, MA H X, YAN K. An equation for determining freeze–thaw fatigue damage in concrete and a model for predicting the service life[J]. Constr Build Mater, 2017, 137: 104–116.
[5] ZHAO P, LEI Q, ZHANG X, et al. Durability and life prediction of Chinese traditional black bricks under freezing and thawing conditions[J]. Rev Rom Mater, 2019, 49(1): 157–166.
[6] LIN C, OU J P. Analysis of harbin’s freeze-thaw action for life-cycle structure design[J]. Appl Mech Mater, 2011, 105–107: 804–809.
[7] LIN C, OU J P. Study and application of China’s freeze–thaw action spectrums for life-cycle structure design[J]. Appl Mech Mater, 2011, 105–107: 777–783.
[8] LUO D M, DONG H, NIU D T. Geographic division of exposure environment for concrete structure based on fuzzy clustering-rough set information entropy[J]. Struct Concr, 2023, 24(1): 485–503.
[9] LUO D M, WANG Y, NIU D T. Durability environmental regionalization for concrete structures[J]. Math Probl Eng, 2013: 482641.
[10] LUO D M, WANG Y, ZHANG S H, et al. Application of fuzzy and rough sets to environmental zonation for concrete durability: A case study of Shaanxi Province, China[J]. Sustainability, 2020, 12(8): 3128.
[12] SOONG T T. Fundamentals of probability and statistics for engineers [M].S.l.: John Wiley & Sons, 2004.
[13] TASKESEN E. Distfit-Probability density fitting [JB/OL]. [2022–12–30]. https://pypi.org/project/distfit/0.1.2
[14] ASADI I, SHAFIGH P, BIN ABU HASSAN Z F, et al. Thermal conductivity of concrete—A review[J]. J Build Eng, 2018, 20: 81–93.
[17] ZHANG Y X, PAN J W, SUN X J, et al. Simulation of thermal stress and control measures for rock-filled concrete dam in high-altitude and cold regions[J]. Eng Struct, 2021, 230: 111721.
[18] SHEIBANY F, GHAEMIAN M. Effects of environmental action on thermal stress analysis of Karaj concrete arch dam[J]. J Eng Mech, 2006, 132(5): 532–544.
[24] KHATIB J M, MANGAT P S. Influence of high-temperature and low-humidity curing on chloride penetration in blended cement concrete[J]. Cem Concr Res, 2002, 32(11): 1743–1753.
[25] PATEL R G, PARROTT L J, MARTIN J A, et al. Gradients of microstructure and diffusion properties in cement paste caused by drying[J]. Cem Concr Res, 1985, 15(2): 343–356.
[29] ERIKSSON D, WAHLBOM D, MALM R, et al. Hygro-thermo-mechanical modeling of partially saturated air-entrained concrete containing dissolved salt and exposed to freeze-thaw cycles[J]. Cem Concr Res, 2021, 141: 106314.
[30] LIU L, SHEN D J, CHEN H S, et al. Analysis of damage development in cement paste due to ice nucleation at different temperatures[J]. Cem Concr Compos, 2014, 53: 1–9.
[31] GUO W Q, WANG F J, WU Y, et al. A non-equilibrium micromechanics-based thermo-hydro-mechanical model for freezing/thawing in saturated cementitious materials: From elasticity to elastic-plasticity[J]. Cem Concr Res, 2023, 173: 107267.
[32] SUN Z H, SCHERER G W. Pore size and shape in mortar by thermoporometry[J]. Cem Concr Res, 2010, 40(5): 740–751.
[33] GUO W Q, HAN F Y, JIANG J Y, et al. A micromechanical framework for thermo-elastic properties of multiphase cementitious composites with different saturation[J]. Int J Mech Sci, 2022, 224: 107313.
[34] XU W X, ZHANG Y F, JIANG J Y, et al. Thermal conductivity and elastic modulus of 3D porous/fractured media considering percolation[J]. Int J Eng Sci, 2021, 161: 103456.
[35] CAI H, LIU X. Freeze-thaw durability of concrete: Ice formation process in pores[J]. Cem Concr Res, 1998, 28(9): 1281–1287.
[36] ZHANG P, WITTMANN F H, VOGEL M, et al. Influence of freeze-thaw cycles on capillary absorption and chloride penetration into concrete[J]. Cem Concr Res, 2017, 100: 60–67.
[37] ZHAO H B, HU Y, TANG Z, et al. Deterioration of concrete under coupled aggressive actions associated with load, temperature and chemical attacks: A comprehensive review[J]. Constr Build Mater, 2022, 322: 126466.
[38] WU R J, XIA J, CHEN K Y, et al. Spatiotemporal interpolation of surface chloride content for marine RC structures based on non-uniform spatiotemporal Kriging interpolation method[J]. Struct Saf, 2023, 103: 102329.
[39] WANG R J, HU Z Y, LI Y, et al. Review on the deterioration and approaches to enhance the durability of concrete in the freeze–thaw environment[J]. Constr Build Mater, 2022, 321: 126371.
[40] WANG Y Z, YANG W C, ZHANG A, et al. Investigating icing behavior in cementitious material during freeze–thaw using low-temperature low-field NMR[J]. Cem Concr Res, 2024, 175: 107378.
[41] FARNAM Y, TODAK H, SPRAGG R, et al. Electrical response of mortar with different degrees of saturation and deicing salt solutions during freezing and thawing[J]. Cem Concr Compos, 2015, 59: 49–59.
[42] CHAI M T, ZHANG J M, ZHANG H, et al. A method for calculating unfrozen water content of silty clay with consideration of freezing point[J]. Appl Clay Sci, 2018, 161: 474–481.
[43] MITROPOULOS A C. The Kelvin equation[J]. J Colloid Interface Sci, 2008, 317(2): 643–648.
[44] CHEN L C, TYLER LEY M, GHANTOUS R M, et al. Measuring damaging freeze–thaw cycles in the field[J]. Constr Build Mater, 2023, 387: 131660.
[45] MARDANI-AGHABAGLOU A, ANDI-AKIR , RAMYAR K. Freeze–thaw resistance and transport properties of high-volume fly ash roller compacted concrete designed by maximum density method[J]. Cem Concr Compos, 2013, 37: 259–266.
[46] SHAH H A, YUAN Q, ZUO S H. Air entrainment in fresh concrete and its effects on hardened concrete–A review[J]. Constr Build Mater, 2021, 274: 121835.
[47] LIU J, ZHAI P M. Changes in climate regionalization indices in China during 1961–2010[J]. Adv Atmos Sci, 2014, 31(2): 374–384.
[48] LIU T J, ZHANG M, ZOU D J, et al. Analysis and zonation of freeze–thaw action in the Chinese Plateau region considering spatiotemporal climate characteristics[J]. Engineering, 2024: j.eng.2024.04.016.
[49] LI X, FU Z. Effect of low atmospheric pressure of plateau environment on air content and bubble stability of air-entrained concrete[J]. Tran Chinese Soc Agricult Eng, 2015, 31(11): 165–172.
[50] ZHANG P, LIU G G, PANG C M, et al. Influence of pore structures on the frost resistance of concrete[J]. Mag Concr Res, 2017, 69(6): 271–279.
[51] ZENG X H, LAN X L, ZHU H S, et al. Investigation on air-voids structure and compressive strength of concrete at low atmospheric pressure[J]. Cem Concr Compos, 2021, 122: 104139.
[52] YUAN J, WU Y, ZHANG J K. Characterization of air voids and frost resistance of concrete based on industrial computerized tomographical technology[J]. Constr Build Mater, 2018, 168: 975–983.
[53] HUO J Y, WANG Z J, CHEN H X, et al. Impacts of low atmospheric pressure on properties of cement concrete in plateau areas: A literature review[J]. Materials, 2019, 12(9): 1384.
[54] GE X, GE Y, DU Y B, et al. Effect of low air pressure on mechanical properties and shrinkage of concrete[J]. Mag Concr Res, 2018, 70(18): 919–927.
[55] RATH S, OUCHI M, PUTHIPAD N, et al. Improving the stability of entrained air in self-compacting concrete by optimizing the mix viscosity and air entraining agent dosage[J]. Constr Build Mater, 2017, 148: 531–537.
[62] LI S Y, MAN D, LI G D. Ecological study of deterioration performance for concrete in saline soil environment[J]. Ekoloji, 2018, 27: 659–666.