基于非线性M-C准则的圆形基础下伏土洞抗冲切破坏研究
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摘要
针对土体材料特点,引入非线性Mohr-Coulomb准则及相关流动法则,构建圆形刚性基础下伏土洞冲切破坏模式。采用极限分析上限法推导出其极限承载力的计算公式,得出参数任意组合条件下圆形刚性基础下伏土洞冲切极限承载力。利用Plaxis 3D软件建模分析,并与理论解进行对比,验证本文方法的有效性。研究结果表明:非线性系数m对极限承载力的影响较大,在其他参数条件一定的情况下,极限承载力与m呈非线性负相关,且趋于稳定。极限承载力随土体初始黏聚力C_0,顶板厚度以及刚性基础宽度的增大而增大,随土体重度、土体抗拉强度的增大而减小。
The nonlinear Mohr-Coulomb failure criterion and the associated flow rule have been introduced according to the characteristics of soil mass, and then the punching failure mechanism of the soil with an underlying circular rigid foundation was constructed. Then the calculation formula of the ultimate bearing capacity was established using limit analysis method. Furthermore, the ultimate bearing capacity of the soil with an underlying circular rigid foundation was obtained in the condition of arbitrary combination of parameters. The Plaxis 3D software was used to analyze, and the numerical results were in agreement with the theoretical solutions,which verified the validity of the proposed method. The influence of parameters on ultimate bearing capacity was also analyzed, and the results shows that the influence of the nonlinear coefficient m on the ultimate bearing capacity is obvious, and that the ultimate bearing capacity decreases with the increase of m, and the decreasing trend tends to be gentle with given parameters,. The ultimate bearing capacity increases with the C_0 of initial cohesive force of soil, the roof thickness and the rigidity foundation width, and decreases with the increase of soil weight and the increase of soil tensile strength.
The nonlinear Mohr-Coulomb failure criterion and the associated flow rule have been introduced according to the characteristics of soil mass, and then the punching failure mechanism of the soil with an underlying circular rigid foundation was constructed. Then the calculation formula of the ultimate bearing capacity was established using limit analysis method. Furthermore, the ultimate bearing capacity of the soil with an underlying circular rigid foundation was obtained in the condition of arbitrary combination of parameters. The Plaxis 3D software was used to analyze, and the numerical results were in agreement with the theoretical solutions,which verified the validity of the proposed method. The influence of parameters on ultimate bearing capacity was also analyzed, and the results shows that the influence of the nonlinear coefficient m on the ultimate bearing capacity is obvious, and that the ultimate bearing capacity decreases with the increase of m, and the decreasing trend tends to be gentle with given parameters,. The ultimate bearing capacity increases with the C_0 of initial cohesive force of soil, the roof thickness and the rigidity foundation width, and decreases with the increase of soil weight and the increase of soil tensile strength.
引文
[1]刘镇,黎杰明,杨旭,等.考虑邻近土洞影响的盾构掘进速度控制[J].工程地质学报, 2017, 25(6):1633-1639.LIU Zhen, LI Jieming, YANG Xu, et al. Optimal control of TBM excavation rate considering neighboring soil void[J]. Journal of Engineering Geology, 2017, 25(6):1633-1639.
[2]丁春林,甘百先,钟辉虹,等.含土洞、溶洞的机场滑行道路基稳定性评估[J].岩石力学与工程学报, 2003,22(8):1329-1333.DING Chunlin, GAN Baixian, ZHONG Huihong, et al.Stability evaluation of airfield runway subgrade containing earth caves and karst[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(8):1329-1333.
[3] Wyllie D C. Foundations on rock[M]. London:Chapman and Hall, 1992.
[4] Hongseob O H, Jongsung S I M. Punching shear strength of strengthened deck panels with externally bonded plates[J]. Composites part B:Engineering, 2004, 35(4):313-321.
[5]赵明华,张锐,胡柏学,等.岩溶区桩端下伏溶洞顶板稳定性分析研究[J].公路交通科技, 2009, 26(9):13-16.ZHAO Minghua, ZHANG Rui, HU Boxue, et al.Analysis of stability of cave roof under pile tip in karst area[J]. Journal of Highway and Transportation Research and Development, 2009, 26(9):13-16.
[6]赵明华,雷勇,张锐.岩溶区桩基冲切破坏模式及安全厚度研究[J].岩土力学, 2012, 33(2):524-530.ZHAO Minghua, LEI Yong, ZHANG Rui. Study of punching failure mode and safe thickness of pile foundation in karst region[J]. Rock and Soil Mechanics,2012, 33(2):524-530.
[7]张惠乐,张智浩,王述红,等.岩溶区嵌岩桩的试验研究与分析[J].土木工程学报, 2013, 46(1):92-103.ZHANG Huile, ZHANG Zhihao, WANG Shuhong, et al.Experimental study and analysis on rock-socketed pile in karst area[J]. China Civil Engineering Journal, 2013,46(1):92-103.
[8]黄生根,梅世龙.南盘江特大桥岩溶桩基承载特性的试验研究[J].岩石力学与工程学报, 2004, 23(5):809-813.HUANG Shenggen, MEI Shilong. Testing study on bearing behavior of piles for Nanpan River great bridge in karst area[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(5):809-813.
[9]刘善军,宋长斌.隐伏碳酸盐岩区第四系松散盖层稳定性分析[J].中国地质灾害与防治学报, 2003, 14(1):18-21.LIU Shanjun, SONG Changbin. Stability analysis of Quaternary loose cover in carbonate rock region[J]. The Chinese Journal of Geological Hazard and Control, 2003,14(1):18-21.
[10]曾中林,曾大艇,李韬宇,等.岩溶区条形刚性基础下伏孔洞顶板冲切极限承载力变分分析[J].自然灾害学报, 2018, 27(5):27-38.ZENG Zhonglin, ZENG Dating, LI Taoyu, et al. Variation analysis of ultimate bearing punching capacity of roof underlying the rigid strip foundation in karst area[J].Journal of Natural Disasters, 2018, 27(5):27-38.
[11]雷勇,陈秋南,马缤辉.基于极限分析的桩端岩层冲切分析[J].岩石力学与工程学报, 2014, 33(3):631-638.LEI Yong, CHEN Qiunan, MA Binhui. Punching analysis of rock at pile tip base on limit analysis[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(3):631-638.
[12] Maksimovic M. Nonlinear failure envelope for soils[J].Journal of Geotechnical and Geoenvironmental Engineering, 1989, 115(4):581-586.
[13] Baker R. Nonlinear Mohr envelopes based on triaxial data[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2004, 130(5):498-506.
[14] Hoek E, Brown E T. Practical estimate the rock mass strength[J]. International Journal of Rock Mechanics and Mining Science, 1997, 34(8):1165-1186.
[15] YANG X L, YIN J H. Slope stability analysis with nonlinear failure criterion[J]. Journal of Engineering Mechanics, ASCE, 2004, 130(3):267-273.
[16] ZHAO L H, LI L, YANG F, et al. Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique[J]. Journal of Central South University of Technology, 2010, 17(4):836-844.
[17] ZHAO Lianheng, YANG Feng, ZHANG Yingbin, et al.Effects of shear strength reduction strategies on safety factor of homogeneous slope based on a general nonlinear failure criterion[J]. Computers&Geotechnics,2015, 63:215-228.
[18]谭亦高,左仕,胡世红,等.三维圆形浅埋锚板极限抗拔力非线性上限解析[J].铁道科学与工程学报, 2017,14(6):1166-1173.TAN Yigao, ZUO Shi, HU Shihong, et al. Study on the ultimate pullout capacity of 3-D shallow circle plate anchors[J]. Journal of Railway Science and Engineering,2017, 14(6):1166-1173.
[19]张佳华,张标.非线性屈服准则下浅埋隧道支护参数上限解[J].铁道科学与工程学报, 2018, 15(8):2061-2071.ZHANG Jiahua, ZHANG Biao. Upper bound solutions of support parameter for shallow tunnels in nonlinear soil masses[J]. Journal of Railway Science and Engineering,2018, 15(8):2061-2071.
[2]丁春林,甘百先,钟辉虹,等.含土洞、溶洞的机场滑行道路基稳定性评估[J].岩石力学与工程学报, 2003,22(8):1329-1333.DING Chunlin, GAN Baixian, ZHONG Huihong, et al.Stability evaluation of airfield runway subgrade containing earth caves and karst[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(8):1329-1333.
[3] Wyllie D C. Foundations on rock[M]. London:Chapman and Hall, 1992.
[4] Hongseob O H, Jongsung S I M. Punching shear strength of strengthened deck panels with externally bonded plates[J]. Composites part B:Engineering, 2004, 35(4):313-321.
[5]赵明华,张锐,胡柏学,等.岩溶区桩端下伏溶洞顶板稳定性分析研究[J].公路交通科技, 2009, 26(9):13-16.ZHAO Minghua, ZHANG Rui, HU Boxue, et al.Analysis of stability of cave roof under pile tip in karst area[J]. Journal of Highway and Transportation Research and Development, 2009, 26(9):13-16.
[6]赵明华,雷勇,张锐.岩溶区桩基冲切破坏模式及安全厚度研究[J].岩土力学, 2012, 33(2):524-530.ZHAO Minghua, LEI Yong, ZHANG Rui. Study of punching failure mode and safe thickness of pile foundation in karst region[J]. Rock and Soil Mechanics,2012, 33(2):524-530.
[7]张惠乐,张智浩,王述红,等.岩溶区嵌岩桩的试验研究与分析[J].土木工程学报, 2013, 46(1):92-103.ZHANG Huile, ZHANG Zhihao, WANG Shuhong, et al.Experimental study and analysis on rock-socketed pile in karst area[J]. China Civil Engineering Journal, 2013,46(1):92-103.
[8]黄生根,梅世龙.南盘江特大桥岩溶桩基承载特性的试验研究[J].岩石力学与工程学报, 2004, 23(5):809-813.HUANG Shenggen, MEI Shilong. Testing study on bearing behavior of piles for Nanpan River great bridge in karst area[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(5):809-813.
[9]刘善军,宋长斌.隐伏碳酸盐岩区第四系松散盖层稳定性分析[J].中国地质灾害与防治学报, 2003, 14(1):18-21.LIU Shanjun, SONG Changbin. Stability analysis of Quaternary loose cover in carbonate rock region[J]. The Chinese Journal of Geological Hazard and Control, 2003,14(1):18-21.
[10]曾中林,曾大艇,李韬宇,等.岩溶区条形刚性基础下伏孔洞顶板冲切极限承载力变分分析[J].自然灾害学报, 2018, 27(5):27-38.ZENG Zhonglin, ZENG Dating, LI Taoyu, et al. Variation analysis of ultimate bearing punching capacity of roof underlying the rigid strip foundation in karst area[J].Journal of Natural Disasters, 2018, 27(5):27-38.
[11]雷勇,陈秋南,马缤辉.基于极限分析的桩端岩层冲切分析[J].岩石力学与工程学报, 2014, 33(3):631-638.LEI Yong, CHEN Qiunan, MA Binhui. Punching analysis of rock at pile tip base on limit analysis[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(3):631-638.
[12] Maksimovic M. Nonlinear failure envelope for soils[J].Journal of Geotechnical and Geoenvironmental Engineering, 1989, 115(4):581-586.
[13] Baker R. Nonlinear Mohr envelopes based on triaxial data[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2004, 130(5):498-506.
[14] Hoek E, Brown E T. Practical estimate the rock mass strength[J]. International Journal of Rock Mechanics and Mining Science, 1997, 34(8):1165-1186.
[15] YANG X L, YIN J H. Slope stability analysis with nonlinear failure criterion[J]. Journal of Engineering Mechanics, ASCE, 2004, 130(3):267-273.
[16] ZHAO L H, LI L, YANG F, et al. Upper bound analysis of slope stability with nonlinear failure criterion based on strength reduction technique[J]. Journal of Central South University of Technology, 2010, 17(4):836-844.
[17] ZHAO Lianheng, YANG Feng, ZHANG Yingbin, et al.Effects of shear strength reduction strategies on safety factor of homogeneous slope based on a general nonlinear failure criterion[J]. Computers&Geotechnics,2015, 63:215-228.
[18]谭亦高,左仕,胡世红,等.三维圆形浅埋锚板极限抗拔力非线性上限解析[J].铁道科学与工程学报, 2017,14(6):1166-1173.TAN Yigao, ZUO Shi, HU Shihong, et al. Study on the ultimate pullout capacity of 3-D shallow circle plate anchors[J]. Journal of Railway Science and Engineering,2017, 14(6):1166-1173.
[19]张佳华,张标.非线性屈服准则下浅埋隧道支护参数上限解[J].铁道科学与工程学报, 2018, 15(8):2061-2071.ZHANG Jiahua, ZHANG Biao. Upper bound solutions of support parameter for shallow tunnels in nonlinear soil masses[J]. Journal of Railway Science and Engineering,2018, 15(8):2061-2071.