Influence of freeze–thaw damage gradient on stress–strain relationship of stressed concrete

Abstract

Freeze–thaw damage gradients lead to non-uniform degradation of concrete mechanical properties at different depths. A study was conducted on the stress–strain relationship of stressed concrete with focus on the freeze–thaw damage gradient. The effects of relative freeze–thaw depths, number of freeze–thaw cycles (FTCs) and stress ratios on the stress–strain curves of concrete were analyzed. The test results demonstrated that freeze–thaw damage was more severe in the surface layers of concrete than in the deeper layers. The relative peak stress and strain of concrete degraded bilinearly with increasing depth. The stress–strain relationship of stressed concrete under FTC was established, and it was found to agree with the experimental results.

Graphical abstract

Keywords

freeze–thaw damage / stress ratios / stress–strain relationship / damage variable

References

[1] Ren G S, Shang H S, Zhang P, Zhao T. Bond behaviour of reinforced recycled concrete after rapid freezing–thawing cycles. Cold Regions Science and Technology, 2019, 157: 133–138

[2] Zheng Y X, Liu J Q, Guo P, Gan C. Fatigue characteristics of double damage reinforced prestressed hollow slab beams under freeze–thaw cycle erosion. Applied Sciences, 2021, 11(16): 7692

[3] Wang Y, Feng W K, Wang H J, Li C H, Hou Z Q. Rock bridge fracturing characteristics in granite induced by freeze–thaw and uniaxial deformation revealed by AE monitoring and post-test CT scanning. Cold Regions Science and Technology, 2020, 177: 103115

[4] Li L, Hubler M H, Xi Y. Theoretical modeling on chemical composition and mechanical properties of well cement under carbonation reactions. Journal of Cleaner Production, 2020, 276: 124270

[5] Jiang C, Ding H, Gu X L, Zhang W P. Failure mode-based calculation method for bending bearing capacities of normal cross-sections of corroded reinforced concrete beams. Engineering Structures, 2022, 258: 114113

[6] Jiang C, Ding H, Gu X L, Zhang W P. Failure mode-based calculation method for bearing capacities of corroded RC columns under eccentric compression. Engineering Structures, 2023, 285: 116038

[7] Bao J W, Xue S B, Zhang P, Dai Z, Cui Y. Coupled effects of sustained compressive loading and freeze–thaw cycles on water penetration into concrete. Structural Concrete, 2021, 22: 944–954

[8] Lei B, Li W G, Tang Z, Tam V W Y, Sun Z. Durability of recycled aggregate concrete under coupling mechanical loading and freeze–thaw cycle in salt-solution. Construction & Building Materials, 2018, 163: 840–849

[9] Gong F, Wang Z, Xia J, Maekawa K. Coupled thermo-hydro-mechanical analysis of reinforced concrete beams under the effect of frost damage and sustained load. Structural Concrete, 2021, 22(6): 3430–3445

[10] Jiang C, Song C, Gu X L, Zhang Q, Zhang W P. Modeling electrochemical chloride extraction process in cement-based materials considering coupled multi-ion transports and thermodynamic equilibriums. Journal of Cleaner Production, 2023, 401: 136778

[11] Wang Y, Bai Y, Xi Y. Analytical solutions of moisture-chloride ion coupled transport in unsaturated concrete. Journal of the American Ceramic Society, 2021, 104(11): 5883–5897

[12] Sun B, Ye S, Qiu T, Fu C, Wu D, Jin X. Cracking mechanism of corroded reinforced concrete column based on acoustic emission technique. Journal of Materials in Civil Engineering, 2023, 35(4): 04023034

[13] Ye H L, Jin N G. Degradation mechanisms of concrete subjected to combined environmental and mechanical actions: A review and perspective. Computers and Concrete, 2019, 23(2): 107–119

[14] Li B, Mao J Z, Shen W G, Liu H, Liu X, Xu G L. Mesoscopic cracking model of cement-based materials subjected to freeze–thaw cycles. Construction & Building Materials, 2019, 211: 1050–1064

[15] Li Z, Liu L L, Yan S H, Zhang M, Xia J, Xie Y. Effect of freeze–thaw cycles on mechanical and porosity properties of recycled construction waste mixtures. Construction & Building Materials, 2019, 210: 347–363

[16] Liu X G, Yan Z W, Wang D J, Zhao R, Niu D, Wang Y. Corrosion cracking behavior of reinforced concrete under freeze–thaw cycles. Journal of Building Engineering, 2023, 64: 105610

[17] Wang Y, Damien D, Xi Y. Micro- and meso-mechanical modeling of effect of freezing on modulus of elasticity of concrete. Engineering Fracture Mechanics, 2018, 200: 401–417

[18] Zhang W H, Pi Y L, Kong W P, Zhang Y, Wu P, Zeng W, Yang F. Influence of damage degree on the degradation of concrete under freezing–thawing cycles. Construction & Building Materials, 2020, 260: 119903

[19] Gong X, Yu H F, Wu C Y. Research on the constitutive relationship of concrete under uniaxial compression in freeze–thaw environment. Construction & Building Materials, 2022, 336: 127543

[20] Hong X H, Wang H, Shi F T. Influence of NaCl freeze thaw cycles and cyclic loading on the mechanical performance and permeability of sulphoaluminate cement reactive powder concrete. Coatings, 2020, 10(12): 1227

[21] Li Y L, Guo H Y, Zhou H, Li Y, Chen J. Damage characteristics and constitutive model of concrete under uniaxial compression after freeze–thaw damage. Construction & Building Materials, 2022, 345: 128171

[22] Qiu W L, Teng F, Pan S S. Damage constitutive model of concrete under repeated load after seawater freeze–thaw cycles. Construction & Building Materials, 2020, 236: 117560

[23] Li L, Wang B, Hubler M H. Carbon nanofibers (CNFs) dispersed in ultra-high performance concrete (UHPC): Mechanical property, workability and permeability investigation. Cement and Concrete Composites, 2022, 131: 104592

[24] Zhang S L, Qi X Q, Guo S Y, Ren J, Chen J Z, Chi B, Wang X C. Effect of a novel hybrid TiO₂-graphene composite on enhancing mechanical and durability characteristics of alkali-activated slag mortar. Construction & Building Materials, 2021, 275: 122154

[25] Wang B X, Wang F, Wang Q. Damage constitutive models of concrete under the coupling action of freeze–thaw cycles and load based on Lemaitre assumption. Construction & Building Materials, 2018, 173: 332–341

[26] Duan A, Jin W L, Qian J E. Effect of freeze–thaw cycles on the stress–strain curves of unconfined and confined concrete. Materials and Structures, 2011, 44(7): 1309–1324

[27] Duan A, Tian Y, Dai J G, Jin W L. A stochastic damage model for evaluating the internal deterioration of concrete due to freeze–thaw action. Materials and Structures, 2014, 47(6): 1025–1039

[28] Berto L, Saetta A, Talledo D. Constitutive model of concrete damaged by freeze–thaw action for evaluation of structural performance of RC elements. Construction & Building Materials, 2015, 98: 559–569

[29] Qiu J S, Zhou Y X, Vatin N I, Guan X, Sultanov S, Khemarak K. Damage constitutive model of coal gangue concrete under freeze–thaw cycles. Construction & Building Materials, 2020, 264: 120720

[30] Wang Y R, Cao Y B, Zhang P, Ma Y, Zhao T, Wang H, Zhang Z. Water absorption and chloride diffusivity of concrete under the coupling effect of uniaxial compressive load and freeze–thaw cycles. Construction & Building Materials, 2019, 209: 566–576

[31] Liu X G, Ma E R, Liu J, Zhang B, Niu D, Wang Y. Deterioration of an industrial reinforced concrete structure exposed to high temperatures and dry−wet cycles. Engineering Failure Analysis, 2022, 135: 106150

[32] JiangLNiuD T. Research on the constitutive relationship between sulfate and concrete under freeze–thaw environment. Journal of Sichuan University (Engineering Science Edition), 2016, 48(3): 71–78 (in Chinese)

[33] Lei B W, Li G, Li Z H, Wang G, Sun Z. Effect of cyclic loading deterioration on concrete durability: Water absorption, freeze–thaw, and carbonation. Journal of Materials in Civil Engineering, 2018, 30(9): 04018220

[34] Liu X G, Zhang W P, Gu X L, Ye Z. Probability distribution model of stress impact factor for corrosion pits of high-strength prestressing wires. Engineering Structures, 2021, 230: 111686

[35] Liu X G, Zhang W P, Gu X L, Ye Z. Assessment of fatigue life for corroded prestressed concrete beams subjected to high-cycle fatigue loading. Journal of Structural Engineering, 2023, 149(2): 04022242

[36] Jiang C, Ding H, Gu X L, Zhang W P. Calibration analysis of calculation formulas for shear capacities of corroded RC beams. Engineering Structures, 2023, 286: 116090

[37] Si Z, Du X Q, Huang L Z, Li Y. Meso-scale failure of freezing−thawing damage of concrete under uniaxial compression. Applied Sciences, 2020, 10(4): 1252

[38] Gong F, Maekawa K. Multi-scale simulation of freeze–thaw damage to RC column and its restoring force characteristics. Engineering Structures, 2018, 156: 522–536

[39] Gong F, Ren M, Maekawa K. Simulation of spatially non-uniform frost damage in RC beams under various exposure and confining conditions. Engineering Structures, 2018, 176: 859–870

[40] GB/T50082-2009. Standard Test Method for Long-term Performance and Durability of Ordinary Concrete. Beijing: Standards Press of China, 2009 (in Chinese)

[41] Lv Z T, Xia C C, Wang Y S, Lin Z. Frost heave and freezing processes of saturated rock with an open crack under different freezing conditions. Frontiers of Structural and Civil Engineering, 2020, 14(4): 947–960

[42] ZhaoJLiKLiHLiAXiC. Research on the thermal conductivity of C/C composites. Acta Aeronautica et Astronautica Sinica, 2005, 26(4): 501–504 (in Chinese)

[43] Tan Y L, Gu Q H, Ning J G, Liu X, Jia Z, Huang D. Uniaxial compression behavior of cement mortar and its damage-constitutive model based on energy theory. Materials, 2019, 12(8): 1309

[44] Wang L, Cao Y, Wang Z D, Du P. Evolution and characterization of damage of concrete under freeze–thaw cycles. Journal of Wuhan University of Technology (Materials Science Edition), 2013, 28(4): 710–714

[45] Lemaitre J. How to use damage mechanics. Nuclear Engineering and Design, 1984, 80(2): 233–245

[46] Khan M S, King R. Transmuted modified weibull distribution: A generalization of the modified weibull probability distribution. European Journal of Pure and Applied Mathematics, 2013, 6(1): 66–88

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