Mechanical degradation behavior and damage constitutive model of muddy siltstone under cyclic wetting and drying conditions
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摘要: 针对桂北地区泥质粉砂岩在干湿循环作用下的力学性能劣化问题,开展不同干湿循环次数的单轴抗压强度试验与SEM试验,并基于能量演化规律确定了泥质粉砂岩的完全压密点,构建了泥质粉砂岩分段损伤本构模型。研究结果表明:(1)在经历5次干湿循环后,泥质粉砂岩单轴抗压强度和弹性模量分别下降了90.7%和81.5%,破坏模式由剪切破坏转变为拉−剪复合破坏。(2)确定耗散能等于弹性应变能的点为完全压密点,压密应变随干湿循环次数增加呈线性增大。(3)分段损伤本构模型拟合结果与试验数据的匹配度较好,可更准确地描述干湿循环作用下泥质粉砂岩的变形破坏特性。研究结果为桂北地区历经降雨−曝晒循环的边坡稳定性提供了数据支持和理论参考。Abstract: Aiming at the deterioration of the mechanical properties of mud siltstone in northern Guangxi Province under the action of wet and dry cycles, uniaxial compressive strength tests and SEM tests with different numbers of wet and dry cycles were carried out, and based on the law of energy evolution, the complete compaction point of mud siltstone was determined, and the segmental damage constitutive model of mud siltstone was constructed. The results show that: (1) After five dry and wet cycles, the uniaxial compressive strength and modulus of elasticity of the siltstone decreased by 90.7% and 81.5%, respectively, and the damage mode changed from shear damage to tensile-shear composite damage. (2) The point where the dissipated energy is equal to the elastic strain energy is determined as the complete compaction point, and the compaction strain increases linearly with the increase of the number of dry-wet cycles. (3) The fitting results of the segmental damage constitutive model match well with the experimental data, which can more accurately describe the deformation and damage characteristics of muddy siltstone under the action of wet and dry cycles. The results of the study provide data support and theoretical reference for the stability of slopes subjected to rainfall-exposure cycles in Northern Guangxi.
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表 1 不同干湿循环次数条件下泥质粉砂岩分段损伤本构模型参数
Table 1. Parameters of the piecewise damage constitutive model for argillaceous siltstone under different numbers of wet-dry cycles
干湿循环次数n $ {D}_{12} $ $ {\varepsilon }_{\text{A}n} $/10−2 $ {\sigma }_{\text{A}n} $/MPa 压密段 非压密段 $ {m}_{1n} $ $ {F}_{1n} $ R2 $ {m}_{2n} $ $ {F}_{2n} $ R2 0 0.000 0.62 22.153 2.0419 1.0450 0.9943 34.4300 0.5635 0.9983 1 0.088 0.67 22.017 2.0390 1.1716 0.9943 14.0067 0.5581 0.9936 2 0.342 0.77 19.862 1.8300 1.3975 0.9980 13.9500 0.4061 0.9546 3 0.451 0.77 17.847 1.7469 1.2932 0.9967 8.5985 0.4402 0.9770 4 0.540 0.82 14.680 1.7392 1.4533 0.9933 5.5590 0.6791 0.9692 -
[1] 黄 震, 张 海, 冯学茂, 等. 干湿循环与围压作用下粉砂岩损伤及本构研究[J]. 华中科技大学学报(自然科学版), 2022, 50(3): 122-128. (HUANG Z, ZHANG H, FENG X M, et al. Damage and constitutive study of siltstone under dry-wet cycle and confining pressure[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2022, 50(3): 122-128. (in Chinese) doi: 10.13245/j.hust.220321HUANG Z, ZHANG H, FENG X M, et al. Damage and constitutive study of siltstone under dry-wet cycle and confining pressure[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2022, 50(3): 122-128. (in Chinese) doi: 10.13245/j.hust.220321 [2] 张 旭, 周绍武, 李元松, 等. 公路泥质砂岩边坡预警判据与参数敏感性分析[J]. 长江科学院院报, 2019, 36(3): 90-97. (ZHANG X, ZHOU S W, LI Y S, et al. Early warning criterion and parameter sensitivity analysis of argillaceous sandstone slope[J]. Journal of Yangtze River Scientific Research Institute, 2019, 36(3): 90-97. (in Chinese) doi: 10.11988/ckyyb.20170963ZHANG X, ZHOU S W, LI Y S, et al. Early warning criterion and parameter sensitivity analysis of argillaceous sandstone slope[J]. Journal of Yangtze River Scientific Research Institute, 2019, 36(3): 90-97. (in Chinese) doi: 10.11988/ckyyb.20170963 [3] 朱江鸿, 韩淑娴, 童艳梅, 等. 干湿循环对不同密度砂岩强度劣化的影响[J]. 华南理工大学学报(自然科学版), 2019, 47(3): 126-134. (ZHU J H, HAN S X, TONG Y M, et al. Effect of dry-wet cycles on the deterioration of sandstone with various initial dry densities[J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(3): 126-134. (in Chinese) doi: 10.12141/j.issn.1000-565X.180361ZHU J H, HAN S X, TONG Y M, et al. Effect of dry-wet cycles on the deterioration of sandstone with various initial dry densities[J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(3): 126-134. (in Chinese) doi: 10.12141/j.issn.1000-565X.180361 [4] 施 炎, 王团乐, 宛良朋, 等. 干湿循环作用下裂隙岩体渗流特性演化规律研究[J]. 人民长江, 2024, 55(7): 198-203. (SHI Y, WANG T L, WAN L P, et al. Seepage characteristics of fractured rock mass under dry-wet cycling action[J]. Yangtze River, 2024, 55(7): 198-203. (in Chinese) doi: 10.16232/j.cnki.1001-4179.2024.07.026SHI Y, WANG T L, WAN L P, et al. Seepage characteristics of fractured rock mass under dry-wet cycling action[J]. Yangtze River, 2024, 55(7): 198-203. (in Chinese) doi: 10.16232/j.cnki.1001-4179.2024.07.026 [5] ZHANG H X, LU K P, ZHANG W Z, et al. Quantification and acoustic emission characteristics of sandstone damage evolution under dry-wet cycles[J]. Journal of Building Engineering, 2022, 48: 103996. doi: 10.1016/j.jobe.2022.103996 [6] MENG Y Y, JING H W, YIN Q, et al. Investigation on mechanical and AE characteristics of yellow sandstone undergoing wetting-drying cycles[J]. KSCE Journal of Civil Engineering, 2020, 24(11): 3267-3278. doi: 10.1007/s12205-020-0572-6 [7] 侯 迪, 许 珍, 莫至坤, 等. 干湿循环条件下岩石蠕变本构模型研究及应用[J]. 人民长江, 2023, 54(12): 218-224. (HOU D, XU Z, MO Z K, et al. Research and application of rock creep constitutive model under different dry-wet cycles[J]. Yangtze River, 2023, 54(12): 218-224. (in Chinese)HOU D, XU Z, MO Z K, et al. Research and application of rock creep constitutive model under different dry-wet cycles[J]. Yangtze River, 2023, 54(12): 218-224. (in Chinese) [8] 隆能增, 任 松, 吴 斐, 等. 酸性干湿循环下泥质砂岩劣化及声发射演化特征识别研究[J]. 岩土力学, 2024, 45(9): 2653-2668. (LONG N Z, REN S, WU F, et al. Degradation of argillaceous sandstone and identification of acoustic emission evolution characteristics under acidic wet-dry cycles[J]. Rock and Soil Mechanics, 2024, 45(9): 2653-2668. (in Chinese) doi: 10.26599/RSM.2024.9436586LONG N Z, REN S, WU F, et al. Degradation of argillaceous sandstone and identification of acoustic emission evolution characteristics under acidic wet-dry cycles[J]. Rock and Soil Mechanics, 2024, 45(9): 2653-2668. (in Chinese) doi: 10.26599/RSM.2024.9436586 [9] 李志刚, 叶宏林, 代云云, 等. 干湿循环作用下云母石英片岩抗剪性能劣化规律及机理[J]. 地球科学, 2024, 49(3): 1028-1038. (LI Z G, YE H L, DAI Y Y, et al. Law and mechanism of shear degradation of mica quartz schist under dry-wet cycles[J]. Earth Science, 2024, 49(3): 1028-1038. (in Chinese) doi: 10.3799/dqkx.2022.211LI Z G, YE H L, DAI Y Y, et al. Law and mechanism of shear degradation of mica quartz schist under dry-wet cycles[J]. Earth Science, 2024, 49(3): 1028-1038. (in Chinese) doi: 10.3799/dqkx.2022.211 [10] 安 然, 孔令伟, 张先伟, 等. 干湿循环效应下花岗岩残积土结构损伤的多尺度研究[J]. 岩石力学与工程学报, 2023, 42(3): 758-767. (AN R, KONG L W, ZHANG X W, et al. A multi-scale study on structure damage of granite residual soil under wetting-drying environments[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(3): 758-767. (in Chinese) doi: 10.13722/j.cnki.jrme.2022.0211AN R, KONG L W, ZHANG X W, et al. A multi-scale study on structure damage of granite residual soil under wetting-drying environments[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(3): 758-767. (in Chinese) doi: 10.13722/j.cnki.jrme.2022.0211 [11] 宋勇军, 张磊涛, 任建喜, 等. 基于核磁共振技术的弱胶结砂岩干湿循环损伤特性研究[J]. 岩石力学与工程学报, 2019, 38(4): 825-831. (SONG Y J, ZHANG L T, REN J X, et al. Study on damage characteristics of weak cementation sandstone under drying-wetting cycles based on nuclear magnetic resonance technique[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(4): 825-831. (in Chinese)SONG Y J, ZHANG L T, REN J X, et al. Study on damage characteristics of weak cementation sandstone under drying-wetting cycles based on nuclear magnetic resonance technique[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(4): 825-831. (in Chinese) [12] 成 辉, 付宏渊, 曾 铃, 等. 考虑干湿循环路径的粉砂质泥岩力学特性及本构模型[J]. 浙江大学学报(工学版), 2024, 58(9): 1912-1922,1980. (CHENG H, FU H Y, ZENG L, et al. Mechanical properties and constitutive model of silty mudstone considering drying-wetting cycle path[J]. Journal of Zhejiang University (Engineering Science), 2024, 58(9): 1912-1922,1980. (in Chinese) doi: 10.3785/j.issn.1008-973X.2024.09.016CHENG H, FU H Y, ZENG L, et al. Mechanical properties and constitutive model of silty mudstone considering drying-wetting cycle path[J]. Journal of Zhejiang University (Engineering Science), 2024, 58(9): 1912-1922,1980. (in Chinese) doi: 10.3785/j.issn.1008-973X.2024.09.016 [13] 邓华锋, 胡安龙, 李建林, 等. 水岩作用下砂岩劣化损伤统计本构模型[J]. 岩土力学, 2017, 38(3): 631-639. (DENG H F, HU A L, LI J L, et al. Statistical damage constitutive model of sandstone under water-rock interaction[J]. Rock and Soil Mechanics, 2017, 38(3): 631-639. (in Chinese) doi: 10.16285/j.rsm.2017.03.003DENG H F, HU A L, LI J L, et al. Statistical damage constitutive model of sandstone under water-rock interaction[J]. Rock and Soil Mechanics, 2017, 38(3): 631-639. (in Chinese) doi: 10.16285/j.rsm.2017.03.003 [14] 俱 量, 朱兴华, 温瑞祥, 等. 干湿循环作用下泥岩力学特性及损伤演化统计模型研究[J]. 工程地质学报, 2024. ((JU L, ZHU X H, WEN R X, et al. Study on the mechanical properties and damage evolution statistical model of mudstone under wet-dry cycling[J]. Journal of Engineering Geology, 2024, doi: 10.13544/j.cnki.jeg.2024-0136. (in Chinese)(JU L, ZHU X H, WEN R X, et al. Study on the mechanical properties and damage evolution statistical model of mudstone under wet-dry cycling[J]. Journal of Engineering Geology, 2024, doi: 10.13544/j.cnki.jeg.2024-0136. (in Chinese) [15] BROWN E T. Rock characterization, testing & monitoring: ISRM suggested methods[M]. Oxford: Published for the Commission on Testing Methods, International Society for Rock Mechanics by Pergamon Press, 1981. [16] 戴 兵, 赵桂锋, 张 雷, 等. 不同加载速率作用下含平行裂隙岩石的试验研究: 能量耗散与损伤演化[J]. 岩石力学与工程学报, 2024, 43(S1): 3397-3412. (DAI B, ZHAO G F, ZHANG L, et al. Experimental study of rock with parallel cracks under different loading rates: energy dissipation and damage evolution[J]. Chinese Journal of Rock Mechanics and Engineering, 2024, 43(S1): 3397-3412. (in Chinese) doi: 10.13722/j.cnki.jrme.2023.0283DAI B, ZHAO G F, ZHANG L, et al. Experimental study of rock with parallel cracks under different loading rates: energy dissipation and damage evolution[J]. Chinese Journal of Rock Mechanics and Engineering, 2024, 43(S1): 3397-3412. (in Chinese) doi: 10.13722/j.cnki.jrme.2023.0283 [17] 贾 蓬, 毛松泽, 孙占阳, 等. 冻融损伤砂岩的能量演化及分段本构模型[J]. 中南大学学报(自然科学版), 2023, 54(3): 908-919. (JIA P, MAO S Z, SUN Z Y, et al. Energy evolution and piecewise constitutive model of freeze-thaw damaged sandstone[J]. Journal of Central South University (Science and Technology), 2023, 54(3): 908-919. (in Chinese) doi: 10.11817/j.issn.1672-7207.2023.03.010JIA P, MAO S Z, SUN Z Y, et al. Energy evolution and piecewise constitutive model of freeze-thaw damaged sandstone[J]. Journal of Central South University (Science and Technology), 2023, 54(3): 908-919. (in Chinese) doi: 10.11817/j.issn.1672-7207.2023.03.010 [18] 张志镇, 高 峰. 单轴压缩下红砂岩能量演化试验研究[J]. 岩石力学与工程学报, 2012, 31(5): 953-962. (ZHANG Z Z, GAO F. Experimental research on energy evolution of red sandstone samples under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(5): 953-962. (in Chinese) doi: 10.3969/j.issn.1000-6915.2012.05.012ZHANG Z Z, GAO F. Experimental research on energy evolution of red sandstone samples under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(5): 953-962. (in Chinese) doi: 10.3969/j.issn.1000-6915.2012.05.012 [19] 张慧梅, 杨更社. 冻融与荷载耦合作用下岩石损伤模型的研究[J]. 岩石力学与工程学报, 2010, 29(3): 471-476. (ZHANG H M, YANG G S. Research on damage model of rock under coupling action of freeze-thaw and load[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(3): 471-476. (in Chinese) doi: 10.13722/j.cnki.jrme.2022.0672ZHANG H M, YANG G S. Research on damage model of rock under coupling action of freeze-thaw and load[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(3): 471-476. (in Chinese) doi: 10.13722/j.cnki.jrme.2022.0672 [20] 候 超, 靳晓光, 何 杰, 等. 基于最大拉应变准则的冻融岩石损伤模型研究[J]. 西南交通大学学报, 2023, 58(5): 1045-1055. (HOU C, JIN X G, HE J, et al. Research on damage model of rock under freeze-thaw cycles based on maximum tensile strain Criterion[J]. Journal of Southwest Jiaotong University, 2023, 58(5): 1045-1055. (in Chinese) doi: 10.3969/j.issn.0258-2724.20210493HOU C, JIN X G, HE J, et al. Research on damage model of rock under freeze-thaw cycles based on maximum tensile strain Criterion[J]. Journal of Southwest Jiaotong University, 2023, 58(5): 1045-1055. (in Chinese) doi: 10.3969/j.issn.0258-2724.20210493 [21] 刘先峰, 王 通, 李建国, 等. 冻融循环作用下灰岩和石英岩力学特性及损伤本构模型试验研究[J]. 中国铁道科学, 2025, 46(1): 1-14. (LIU X F, WANG T, LI J G, et al. Experimental study on the mechanical properties and damage constitutive models of limestone and quartzite under freeze-thaw cycles[J]. China Railway Science, 2025, 46(1): 1-14. (in Chinese) doi: 10.3969/j.issn.1001-4632.2025.01.01LIU X F, WANG T, LI J G, et al. Experimental study on the mechanical properties and damage constitutive models of limestone and quartzite under freeze-thaw cycles[J]. China Railway Science, 2025, 46(1): 1-14. (in Chinese) doi: 10.3969/j.issn.1001-4632.2025.01.01 [22] 李天斌, 高美奔, 陈国庆, 等. 基于热–力–损伤本构参数的硬岩脆性评价方法[J]. 岩石力学与工程学报, 2022, 41(S1): 2593-2602. (LI T B, GAO M B, CHEN G Q, et al. A method for evaluating brittleness of hard rocks based on thermal-mechanical-damage constitutive parameters[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(S1): 2593-2602. (in Chinese)LI T B, GAO M B, CHEN G Q, et al. A method for evaluating brittleness of hard rocks based on thermal-mechanical-damage constitutive parameters[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(S1): 2593-2602. (in Chinese) -
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