[1] [1] CHEN D S, DENG Y A, SHEN J Y, et al. Study on damage rules on concrete under corrosion of freeze-thaw and saline solution［J］. Construction and Building Materials, 2021, 304: 124617.

[2] [2] SU H Z, XIE W. Review on frost damages of hydraulic concrete in cold region and its preventive control［J］. Bulletin of the Chinese Ceramic Society, 2021, 40(4): 1053-1071 (in Chinese).

[3] [3] LIU E M, LIN M Q, XIE Q. Research progress on frost resistance of recycled coarse aggregate concrete［J］. Bulletin of the Chinese Ceramic Society, 2022, 41(9): 2963-2978 (in Chinese).

[4] [4] WANG S N, ZENG J J, FAN Z H. Analysis on durability of marine HPC based on long-term exposure experiment［J］. China Civil Engineering Journal, 2021, 54(10): 82-89 (in Chinese).

[5] [5] XU Y Q, YUAN Q, DAI X D, et al. Improving the freeze-thaw resistance of mortar by a combined use of superabsorbent polymer and air entraining agent［J］. Journal of Building Engineering, 2022, 52: 104471.

[6] [6] DENG X H, GAO X Y, WANG R, et al. Study on frost resistance and pore distribution change of recycled concrete［J］. Materials Reports, 2021, 35(16): 16028-16034 (in Chinese).

[7] [7] ZENG H Y, LAI Y M, QU S, et al. Exploring the effect of graphene oxide on freeze-thaw durability of air-entrained mortars［J］. Construction and Building Materials, 2022, 324: 126708.

[8] [8] HANG M Y, CUI L, WU J Q, et al. Freezing-thawing damage characteristics and calculation models of aerated concrete［J］. Journal of Building Engineering, 2020, 28: 101072.

[9] [9] PAN Z L, XU J, LIU J G, et al. Research on the improving anti-cracking performance of ballastless track bed concrete of plateau［J］. Journal of Railway Engineering Society, 2021, 38(10): 37-43 (in Chinese).

[10] [10] DUAN A, LI Z Y, ZHANG W C, et al. Flexural behaviour of reinforced concrete beams under freeze-thaw cycles and sustained load［J］. Structure and Infrastructure Engineering, 2017, 13(10): 1350-1358.

[11] [11] CAO D F, GE W J, GUO R Y, et al. Experimental study on flexural behaviors of RC beams after freeze-thaw cycles［J］. Journal of Building Structures, 2014, 35(6): 137-144 (in Chinese).

[12] [12] LU C H, YANG Y T, PING A, et al. Experimental and theoretical investigation on flexural capacity of marine high performance concrete beams under freeze-thaw action［J］. China Civil Engineering Journal, 2022, 55(7): 47-56 (in Chinese).

[13] [13] Ministry of Housing and Urban-Rural Development, People’s Republic of China. Standard of test method for long-term performance and durability of ordinary concrete: GB/T 50082—2009［S］. Beijing: China Architecture and Building Press, 2009 (in Chinese).

[14] [14] Ministry of Housing and Urban-Rural Development, People’s Republic of China. Standard test methods for mechanical properties of concrete: GB/T 50152—2012［S］. Beijing: China Architecture and Building Press, 2012 (in Chinese).

[15] [15] SUN C T, NIU D T. Experimental study on chloride diffusion properties of concrete in freeze-thaw environment［J］. Bulletin of the Chinese Ceramic Society, 2014, 33(8): 1863-1869 (in Chinese).

[16] [16] QIN L, DING J N, ZHU J S. Experiment on anti-permeability and frost resistance of high strength concrete with high-ratio of fly ash and slag［J］. Transactions of the Chinese Society of Agricultural Engineering, 2017, 33(6): 133-139 (in Chinese).

[17] [17] LIU W Z. Study on preparation and frost resistance of concrete with large amount of mineral admixture［D］. Qinhuangdao: Yanshan University, 2016: 26-27 (in Chinese).

[18] [18] XIA J L, WU Z Q, SHANG R J, et al. Investigation of durability of wall materials concrete prepared with fly ash［J］. Applied Mechanics and Materials, 2012, 174/175/176/177: 657-661.

[19] [19] DU S, GE Y, SHI X M. A targeted approach of employing nano-materials in high-volume fly ash concrete［J］. Cement and Concrete Composites, 2019, 104: 103390.

[20] [20] ZHAO Y R, FAN X Q, WANG L Q, et al. Attenuation model of mechanical properties of concrete under different freezing and thawing［J］. Acta Materiae Compositae Sinica, 2017, 34(2): 463-470 (in Chinese).

[21] [21] WANG H, XU Y H, YAO W J, et al. Freeze-thaw cycle and microstructure of rice husk ash rubber concrete［J］. Acta Materiae Compositae Sinica, 2023, 40(5): 2951-2959 (in Chinese).

[22] [22] XU C W, YANG M H, QIN R Y. Research on influence of admixtures on frost-resistance of air-entraining concrete［J］. Concrete, 2013(12): 97-99 (in Chinese).

[23] [23] DENG X H, CAO W P, XUE L Y, et al. Experiment on frozen durability and damage model of air-entraining recycled concrete［J］. Science Technology and Engineering, 2020, 20(9): 3738-3743 (in Chinese).

[24] [24] XIAO Q H, NIU D T. Study on air-entraining fly-ash concrete in freeze-thaw environment［J］. Concrete, 2012(7): 81-82+123 (in Chinese).

[25] [25] CAO D F, FU L Z, YANG Z W, et al. Study on constitutive relations of compressed concrete subjected to action of freezing-thawing cycles［J］. Journal of Building Materials, 2013, 16(1): 17-23+32 (in Chinese).

[26] [26] SONG Y P, XU X J, LIU H. Comparison of mechanical properties of fully-graded concrete and wet-screened concrete［J］. Journal of Hydraulic Engineering, 2012, 43(1): 69-75 (in Chinese).

[27] [27] LI Y G, ZHANG H M, CHEN S J, et al. Multi-scale study on the durability degradation mechanism of aeolian sand concrete under freeze-thaw conditions［J］. Construction and Building Materials, 2022, 340: 127433.

[28] [28] Z A, BAYRAK B, AYDIN A C. The effect of trio-fiber reinforcement on the properties of self-compacting fly ash concrete［J］. Construction and Building Materials, 2021, 274: 121825.

[29] [29] QIN L K, SONG H W, WANG X W. Concrete experimental research on the freezing-thawing circle of high volume fly ash concrete in seawater［J］. Concrete, 2014(9): 12-14+18 (in Chinese).

[30] [30] XIAO Q H, NIU D T, ZHU W P. Strength degradation model and durability service life prediction of concrete in freezing-thawing circumstance［J］. Building Structure, 2011, 41(supplement 2): 203-207 (in Chinese).

[31] [31] SHANG H S, CAO W Q, WANG B. Effect of fast freeze-thaw cycles on mechanical properties of ordinary-air-entrained concrete［J］. The Scientific World Journal, 2014, 2014: 923032.

[32] [32] XIAO Y. Influence of air entraining and waterproof components on permeability and frost resistance of concrete［D］. Harbin: Harbin Institute of Technology, 2015 (in Chinese).

[33] [33] GUO Z H. Reinforced concerte theory［M］. 3rd ed. Beijing: Tsinghua University Press, 2013 (in Chinese).

[34] [34] National Energy Administration. Design specification for hydraulic concrete structures: DL/T 5057—2009［S］. Beijing: China Electric Power Press, 2009 (in Chinese).

[35] [35] WANG J B, NIU D T, HE H. Frost durability and stress-strain relationship of lining shotcrete in cold environment［J］. Construction and Building Materials, 2019, 198: 58-69.

[36] [36] GUO R Y. Experimental study on concrete flexural members in freeze-thaw environment［D］. Yangzhou: Yangzhou University, 2011 (in Chinese).

[37] [37] GUAN X, NIU D T, SHEN K X, et al. Frost-resistance of RC beam under atmospheric freeze-thaw cycles［J］. Journal of Building Materials, 2016, 19(3): 461-466 (in Chinese).

[38] [38] ZHANG M. Experimental study on the influence of freeze-thaw cycle on bending behavior of C30 self-compacting concrete simply supported beam［D］. Urumqi: Xinjiang University, 2016: 56-57 (in Chinese).