考虑加卸载路径的深埋水工隧道弹塑性解析解

doi:10.13722/j.cnki.jrme.2021.0561

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Abstract The current elastoplastic analytical solutions for tunnels were mostly obtained based on the loading path. However，the stress state of the hydraulic tunnel is unloading after the water filling，therefore，the solution should consider the actual stress history. According to the principle of elastic-plastic loading and unloading，the elastoplastic analytical solutions(i.e.，size of plastic zone，stress，displacement and critical water pressure) of hydraulic tunnel are derived for the whole stage from excavation to water filling，considering the advancement of the tunnel face，the interaction between surrounding rock and lining，support time and the re-plasticity of the unloading region under high water pressure. The analytical stress and displacement agree very well with the results from finite element method. Compared the proposed solutions with obtained from the loading path(the traditional solution)，it is found that the traditional solution underestimates the displacement and the size of the plastic zone.

Key words： tunnelling engineering hydraulic tunnel elastoplastic analytical solution loading and unloading paths unified strength theory

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	Articles by authors
	FU Ruicong1
	WANG Huaning2
	JIANG Mingjing1
	YANG Yongheng1

Cite this article:

FU Ruicong1,WANG Huaning2,JIANG Mingjing1, et al. Elastoplastic solution of deep hydraulic tunnel considering loading and unloading paths[J]. , 2021, 40(S2): 3174-3181.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.0561 OR http://rockmech.whrsm.ac.cn/EN/Y2021/V40/IS2/3174

[17]	ZHAO J，WANG G. Unloading and reverse yielding of a finite cavity in a bounded cohesive-frictional medium[J]. Computers and Geotechnics 2010，37(1-2)：239-245.
[5]	张小波，赵光明，孟祥瑞. 基于Drucker-Prager屈服准则的圆形巷道围岩弹塑性分析[J]. 煤炭学报，2013，38(增1)：30-37.(ZHANG Xiaobao，ZHAO Guangming，MENG Xiangrui. Elastoplastic analysis of surrounding rock on circular roadway based on Drucker-Prager yield criterion[J]. Journal of china coal society，2013，38(Supp.1)：30-37.(in Chinese))
[15]	卞康，肖明，刘会波. 考虑脆性损伤和渗流的圆形水工隧洞解析解[J]. 岩土力学，2012，33(1)：209-214.(BIAN Kang，XIAO Ming，LIU Huibao. Analytical solutions of circular hydraulic tunnel considering brittle damage and seepage[J]. Rock and Soil Mechanics，2012，33(1)：209-214.(in Chinese))
[1]	MASOUDIAN M S，HASHEM M A. Analytical solution of a circular opening in an axisymmetric elastic-brittle-plastic swelling rock[J]. Journal of Natural Gas Science and Engineering，2016，35(9)：483-496.
[4]	SINGH A，RAO K S，AYOTHIRAMAN R. A closed-form analytical solution for circular opening in rocks using Drucker-Prager criterion[J]. Indian Geotechnical Journal，2019，49(4)：437-454.
[7]	张常光，赵均海，张庆贺. 基于统一强度理论的深埋圆形岩石隧道收敛限制分析[J]. 岩土工程学报，2012，34(1)：110-114.(ZHANG Changguang，ZHAO Junhai，ZHANG Qinghe. Convergence-confinement analysis of deep circular rock tunnels based on unified strength theory[J]. Chinese Journal of Geotechnical Engineering，2012，34(1)：110-114.(in Chinese))
[9]	ZHANG Q，SHAO C，SU H J，et al. A closed-form hydraulic-mechanical coupling solution of a circular tunnel in elastic-brittle-plastic rock mass[J]. European Journal of Environmental and Civil Engineering，2020，18(5)：1-18.
[11]	ZHANG Q，JIANG B S，WANG S L，et al. Elasto-plastic analysis of a circular opening in strain-softening rock mass[J]. International Journal of Rock Mechanics and Mining Sciences，2012，50：38-46.
[14]	刘伟平，罗小艳，胡小荣，等. 基于统一强度准则改进式的压力隧洞弹塑性应力分析[J]. 岩土力学，2011，32(增1)：236-240.(LIU Weiping，LUO Xiaoyan，HU Xiaorong，et al. Elastoplastic stress analysis of pressure tunnel based on improvement of unified strength criterion[J]. Rock and Soil Mechanics，2011，32(Supp.1)：236-240.(in Chinese))
[19]	VLACHOPOULOS N，DIEDERICHS M S. Improved longitudinal displacement profiles for convergence confinement analysis of deep tunnels[J]. Rock Mechanics and Rock Engineering，2009，42(2)：131-146.
[21]	李鹏飞，赵勇，张顶立，等. 考虑应力释放含衬砌的深埋圆形隧道应力及变形的弹塑性解[J]. 中国铁道科学，2013，34(2)：58-65.(LI Pengfei，ZHAO Yong，ZHANG Dingli，et al. Elastic-plastic solution to the stress and deformation of deep circular tunnel with lining considering stress release[J]. China Railway Science，2013，34(2)：58-65.(in Chinese))
[3]	许渊，李亮，邹金锋，等. 考虑轴向力和渗透力时圆形隧道广义Hoek-Brown解[J]. 岩土力学，2015，36(10)：2 837-2 846.(XU Yuan，LI Liang，ZOU Jinfeng，et al. Generalized Hoek-Brown solution for circular tunnel with axial and osmotic forces considered[J]. Rock and Soil Mechanics，2015，36(10)：2 837-2 846.(in Chinese))
[13]	王睢，钟祖良，刘新荣，等. 基于D-P准则有压圆形衬砌隧洞弹塑性解[J]. 现代隧道技术，2019，56(4)：74-80.(WANG Sui，ZHONG Zuliang，LIU Xinrong，et al. D-P yield criterion based elastoplastic solution of the circular pressure tunnel[J]. Modern Tunnelling Technology，2019，56(4)：74-80.(in Chinese))
[23]	刘仲秋，章青. 考虑渗流-应力耦合效应的深埋引水隧洞衬砌损伤演化分析[J]. 岩石力学与工程学报，2012，31(10)：2 147- 2 153.(LIU Zhongqiu，ZHANG Qing. Damage evolution analysis of permeable lining of deep diversion tunnel based on seepage-stress coupling theory[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(10)：2 147-2 153.(in Chinese))
[10]	CHEN R，TONON F. Closed-form solutions for a circular tunnel in elastic-brittle-plastic ground with the original and generalized Hoek-Brown failure criteria[J]. Rock Mechanics and Rock Engineering，2011，44(2)：169-178.
[20]	蔡晓鸿，蔡勇平. 水工压力隧洞结构应力计算[M]. 北京：中国水利水电出版社，2004：58-59.(CAI Xiaohong，CAI Yongping. Structure stress calculation for hydraulic pressure tunnel[M]. Beijing：China Water Power Press，2004：58-59.(in Chinese))
[2]	欧阳宇峰，刘成学. 基于Hoke-Brown准则的深埋圆形透水隧洞弹塑性分析[J]. 地下空间与工程学报，2019，15(5)：1 410-1 416. (OUYANG Yufeng，LIU Chengxue. Elasto-plastic analysis on deep buried circle tunnel considering seepage effect based on Hoke-Brown criterion[J]. Chinese Journal of Underground Space and Engineering，2019，15(5)：1 410-1 416.(in Chinese))
[12]	崔岚，郑俊杰，章荣军，等. 弹塑性软化模型下隧洞围岩变形与支护压力分析[J]. 岩土力学，2014，35(3)：717-722.(CUI Lan，ZHENG Junjie，ZHANG Rongjun，et al. Study on the support pressure and surrounding rock deformation of a circular opening in rock mass with an elasto-plastic softening model[J]. Rock and Soil Mechanics，2014，35(3)：717-722.(in Chinese))
[22]	张常光，张庆贺，赵均海，等. 具有衬砌的圆形水工隧洞弹塑性应力统一解[J]. 同济大学学报：自然科学版，2010，38(1)：50-54.(ZHANG Changguang，ZHANG Qinghe，ZHAO Junhai，et al. Elastic-plastic stress unified solutions of a circular hydraulic tunnel with lining[J]. Journal of Tongji University：Natural Science，2010，38(1)：50-54.(in Chinese))
[8]	刘成学，杨林德，李鹏. 考虑应力重分布的深埋圆形透水隧洞弹塑性解[J]. 工程力学，2009，26(2)：16-20.(LIU Chengxue，YANG Linde，LI Peng. Elastic-plastic analytical solution of deep buried circle tunnel considering stress redistribution[J]. Engineering Mechanics，2009，26(2)：16-20.(in Chinese))
[18]	JIRARI S，WONG H，DELERUYELLE F，et al. Analytical modelling of a tunnel accounting for elastoplastic unloading and reloading with reverse yielding and plastic flow[J]. Computers and Geotechnics，2020，121：103 441.
[6]	赵均海，吕美彤，张常光，等. 深埋水工圆形隧洞塑性位移三剪统一解[J]. 建筑科学与工程学报，2017，34(6)：11-20.(ZHAO Junhai，LU Meitong，ZHANG Changguang，et al. Triple-shear unified solution of plastic displacement for a deep circular hydraulic tunnel[J]. Journal of Architecture and Civil Engineering，2017，34(6)：11-20.(in Chinese))
[16]	HILL R. The mathematical theory of plasticity. [M]. Oxford，London：Oxford University Press，1950：97-106.