基于GZZ强度准则考虑应变软化特性的深埋隧道弹塑性解

doi:10.13722/j.cnki.jrme.2018.0611

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Abstract An approach for simulating the nonlinear response of surrounding rock was employed to analyze the excavation of circular tunnels in strain-softening rock masses. The proposed procedure was implemented in a finite element code based on the classical theory of plasticity in which the three-dimensional nonlinear Hoek- Brown strength criterion(GZZ strength criterion) is employed. This criterion not only inherits the advantages of the two-dimensional Hoek-Brown strength criterion but also can take account of the influence of the intermediate principal stress. The stress，strain，displacement and plastic zone in surrounding rock were solved with the numerical method according to the classical elastic-plastic theory. The traditional two-dimensional Hoek-Brown strength criterion was found to underestimate the deformation of surrounding rock. The calculated radii of plastic zone and softening zone in surrounding rock and the maximum strain in tunnel wall with GZZ strength criterion are much larger than those calculated with the traditional two-dimensional Hoek-Brown strength criterion. The maximum circumferential stress is located at the elastic-plastic boundary. The gradient of circumferential stress in the plastic zone is sharply changed，which shows the transition from the softening region to the residual region. In the softening region，the radial and circumferential strains in surrounding rock are relatively small. In the residual region，the stresses are relatively small，but the strains can reach scores of times of those in the softening region. The strain-softening behavior of rock masses reduces the ground stress near the tunnel wall in the plastic zone，but the tunnel deformation was greatly increased at the same time. When the internal supporting pressure is small，the deformation in the surrounding rock may increase scores of times due to the effect of strain-softening behavior. Similarly，under the same convergence deformation，the internal supporting pressure may increase scores of times due to the effect of strain-softening behavior. Therefore，the strain-softening behavior of the surrounding rock is the key to the large deformation of tunnel in the high stress area. It is critical to consider properly the strain-softening behavior of the surrounding rock in the design and calculation of the tunnel supporting structure.

Key words： tunnelling engineering deep buried tunnel GZZ strength criterion strain-softening behaviour finite difference method large deformation of tunnel

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	Articles by authors
	XIA Caichu1
	XU Chen1
	LIU Yupeng1
	HAN Changling2

Cite this article:

XIA Caichu1,XU Chen1,LIU Yupeng1, et al. Elastoplastic solution of deep buried tunnel considering strain-softening characteristics based on GZZ strength criterion[J]. , 2018, 37(11): 2468-2477.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2018.0611 OR https://rockmech.whrsm.ac.cn/EN/Y2018/V37/I11/2468

[1] BROWN E T，BRAY J W，LADANYI B，et al. Ground Response Curves for Rock Tunnels[J]. Journal of Geotechnical Engineering，1983，109(1)：15–39.
[2] WANG Y. Ground response of circular tunnel in poorly consolidated rock[J]. Journal of Geotechnical Engineering，1996，122(9)：703–708.
[3] HAMBLEY D. Influence of axial stress and dilatancy on rock tunnel stability[J]. Journal of Geotechnical and Geoenvironmental Engineering，1997，122(2)：782–783.
[4] CARRANZA-TORRES C，FAIRHURST C. The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek–Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(6)：777–809.
[5] SHARAN S K. Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(4)：542–549.
[6] 杨超，崔新明，徐水平. 软岩应变软化数值模型的建立与研究[J]. 岩土力学，2002，23(6)：695–697.(YANG Chao，CUI Xinming，XU Shuiping. Establishment and study of strain-softening numerical constitutive model for soft rock[J]. Rock and Soil Mechanics，2002，23(6)：695–697.(in Chinese))
[7] HOEK E，BROWN E T. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences，1997，34(8)：1 165–1 186.
[8] 姚国圣，李镜培，谷拴成. 考虑岩体扩容和塑性软化的软岩巷道变形解析[J]. 岩土力学，2009，30(2)：463–467.(YAO Guosheng，LI Jingpei，GU Shuancheng. Analytic solution to deformation of soft rock tunnel considering dilatancy and plastic softening of rock mass[J]. Rock and Soil Mechanics，2009，30(2)：463–467.(in Chinese))
[9] 孙振宇，张顶立，房倩，等. 隧道初期支护与围岩相互作用的时空演化特性[J]. 岩石力学与工程学报，2017，36(增2)：3 943–3 956. (SUN Zhenyu，ZHANG Dingli，FANG Qian，et al. Spatial and temporal evolution characteristics of interaction between primary support and tunnel surrounding rock[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(Supp.2)：3 943–3 956.(in Chinese))
[10] 孙闯，张向东，刘家顺. 基于Hoek-Brown强度准则的应变软化模型在隧道工程中的应用[J]. 岩土力学，2013，34(10)：2 954– 2 960.(SUN Chuang，ZHANG Xiangdong，LIU Jiashun. Application of strain softening model to tunnels based on Hoek-Brown strength criterion[J]. Rock and Soil Mechanics，2013，34(10)：2 954–2 960.(in Chinese))
[11] 韩建新，李术才，汪雷，等. 基于广义Hoek-Brown强度准则的岩体应变软化行为模型[J]. 中南大学学报：自然科学版，2013，44(11)：4 702–4 706.(HAN Jianxin，LI Shucai，WANG Lei，et al. Model for strain-softening behavior of rock mass based on generalized Hoek-Brown strength criterion[J]. Journal of Central South University：Science and Technology，2013，44(11)：4 702–4 706.(in Chinese))
[12] HOEK E，BROWN E T. Empirical strength criterion for rock masses[J]. Journal of Geotechnical and Geoenvironmental Engineering，ASCE，1980，106(9)：1 013–1 035.
[13] LEE Y K，PIETRUSZCZAK S. A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass[J]. Tunnelling and Underground Space Technology，2008，23(5)：588–599.
[14] WANG S，YIN X，TANG H，et al. A new approach for analyzing circular tunnel in strain-softening rock masses[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(1)：170–178.
[15] WANG S，ZHENG H，LI C，et al. A finite element implementation of strain-softening rock mass[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(1)：67–76.
[16] HAN J X，LI S C，LI S C，et al. A procedure of strain-softening model for elasto-plastic analysis of a circular opening considering elasto-plastic coupling[J]. Tunnelling and Underground Space Technology，2013，37(6)：128–134.
[17] 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(1)：38–46.
[18] ZOU J F，LI C，WANG F. A new procedure for ground response curve(GRC) in strain-softening surrounding rock[J]. Computers and Geotechnics，2017，89(9)：81–91.
[19] ZHANG L，ZHU H. Three-dimensional Hoek-Brown strength criterion for rocks[J]. Journal of Geotechnical and Geoenvironmental Engineering，2007，133(9)：1 128–1 135.
[20] ZHANG L. A generalized three-dimensional Hoek-Brown strength criterion[J]. Rock Mechanics and Rock Engineering，2008，41(6)：893–915.
[21] REED M B. The influence of out-of-plane stress on a plane strain problem in rock mechanics[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1988，12(2)：173–181.
[22] 李有钢，俞缙，张建智，等. 基于GZZ准则的圆隧围岩塑性圈三维非线性分析[J]. 解放军理工大学学报：自然科学版，2016，17(5)：445–452.(LI Yougang，YU Jin，ZHANG Jianzhi，et al. Three-dimensional nonlinear analysis of circular tunnel surrounding rock based on GZZ yield criterion[J]. Journal of PLA University of Science and Technology：Natural Science，2016，17(5)：445–452.(in Chinese))