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| Zonal disintegration mechanism based on strain gradient theory |
| ZHANG Xutao1,2,ZHANG Qiangyong1,XIANG Wen1,GAO Qiang1,ZHAO Moli1 |
(1. Geotechnical and Structural Engineering Research Center,Shandong University,Jinan,Shandong 250061,China;
2. School of Architecture and Engineering,Liaocheng University,Liaocheng,Shandong 252059,China) |
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Abstract With the increase of excavation depth,the zonal disintegration phenomenon in surrounding rock of deep cavern appears,which is quite different from the failure mode of shallow cavity. In order to further study the mechanism of zonal disintegration,an elastic damage softening model for zonal disintegration was put forward based on the strain gradient theory and continuum damage mechanics. The equilibrium equations and boundary conditions of quasi-plane strain problem were deduced considering the out-of-plane stress influence. The numerical solutions of radial displacement and radial strain and stresses in deep surrounding rockmass were calculated using Matlab. The numerical solutions presented an oscillation mode. The theoretical calculated values are in good agreement with the model test data. The applicability of elastic damage softening model for zonal disintegration in the explanation of zonal disintegration was confirmed. The oscillation mode of stress in deep surrounding rock is the critical reason for the formation of zonal disintegration.
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| [1] ADAMS G R,JAGER A J. Petroscopic observations of rock fracturing ahead of stope faces in deep-level gold mine[J]. Journal of the South African Institute of Mining and Metallurgy,1980,80(6):204–209.
[2] SHEMYAKIN E I,FISENKO G L,KURLENYA M V,et al. Zonal disintegration of rocks around underground workings,part I:data of in-situ observations[J]. Soviet Mining,1986,22(3):157–168.
[3] 李术才,王汉鹏,钱七虎,等. 深部巷道围岩分区破裂化现象现场监测研究[J]. 岩石力学与工程学报,2008,27(8):1 545–1 553.(LI Shucai,WANG Hanpeng,QIAN Qihu,et al. In-situ monitoring research on zonal disintegration of surrounding rock mass in deep mine roadways[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(8):1 545–1 553.(in Chinese))
[4] SHEMYAKIN E I,FISENKO G L,KURLENYA M V,et al. Zonal disintegration of rocks around underground mines,part III:Theoretical concepts[J]. Soviet Mining,1987,23(1):1–6.
[5] GUZEV M A,PAROSHIN A A. Non-Euclidean model of the zonal disintegration of rocks around an underground working[J]. Journal of Applied Mechanics and Technical Physics,2001,42(1):131–139.
[6] METLOV L S,MOROZOV A F,ZBORSHCHIK M P. Physical foundations of mechanism of zonal rock failure in the vicinity of mine working[J]. Journal of Mining Science,2002,38(2):150–155.
[7] 钱七虎,周小平. 岩体非协调变形对围岩中的应力和破坏的影响[J]. 岩石力学与工程学报,2013,32(4):649–656.(QIAN Qihu,ZHOU Xiaoping. Effects of incompatible defamation on failure mode and stress field of surrounding rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(4):649–656.(in Chinese))
[8] 周小平,钱七虎. 非协调变形下深部岩体破坏的非欧模型[J]. 岩石力学与工程学报,2013,32(4):767–774.(ZHOU Xiaoping,QIAN Qihu. Non-Euclidean model of failure of deep rock masses under incompatible defamation[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(4):767–774.(in Chinese))
[9] 王明洋,解东升,李 杰,等. 深部岩体变形破坏动态本构模型[J]. 岩石力学与工程学报,2013,32(6):1 112–1 120.(WANG Mingyang,XIE Dongsheng,LI Jie,et al. Dynamic constitutive model for deformation and fracture of deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(6):1 112–1 120.(in Chinese))
[10] 戚承志,钱七虎,王明洋,等. 深隧道围岩分区破裂的数学模拟[J]. 岩土力学,2012,33(11):3 439–3 446.(QI Chengzhi,QIAN Qihu,WANG Mingyang,et al. Mathematical modeling of zonal disintegration of surrounding rock near deep tunnels[J]. Rock and Soil Mechanics,2012,33(11):3 439–3 446.(in Chinese))
[11] SHEMYAKIN E I,FISENKO G L,KURLENYA M V,et al. Zonal disintegration of rocks around underground mines,part II:Rock fracture simulated in equivalent materials[J]. Soviet Mining,1986,22(4):223–232.
[12] 顾金才,顾雷雨,陈安敏,等. 深部开挖洞室围岩分层断裂破坏机制模型试验研究[J]. 岩石力学与工程学报,2008,27(3):433–438. (GU Jincai,GU Leiyu,CHEN Anmin,et al. Model test study on mechanism of layered fracture within surrounding rock of tunnels in deep stratum[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(3):433–438.(in Chinese))
[13] 张强勇,陈旭光,林 波,等. 深部巷道围岩分区破裂三维地质力学模型试验研究[J]. 岩石力学与工程学报,2009,28(9):1 757– 1 766.(ZHANG Qiangyong,CHEN Xuguang,LIN Bo,et al. Study of 3D geomechanical model test of zonal disintegration of surrounding rock of deep tunnel[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(9):1 757–1 766.(in Chinese))
[14] 徐松林,吴 文,李 廷,等. 三轴压缩大理岩局部化变形的试验研究及其分岔行为[J]. 岩土工程学报,2001,23(3):296–301.(XU Songlin,WU Wen,LI Ting,et al. Experimental studies on localization and bifurcation behaviors of a marble under triaxial compression[J]. Chinese Journal of Geotechnical Engineering,2001,23(3):296–301.(in Chinese))
[15] PAN Y S,WANG X B,LI Z H . Analysis of the strain softening size effect for rock specimens based on shear strain gradient plasticity theory[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(6):801–805.
[16] RÖCHTER L,KÖNIG D,SCHANZ T,et al. Shear banding and strain softening in plane strain extension:physical modelling[J]. Granular Matter,2010,12(3):287–301.
[17] TOUPIN R A. Elastic materials with couple stresses[J]. Archive for Rational Mechanics and Analysis,1962,11(1):385–414.
[18] MINDLIN R D. Micro-structure in linear elasticity[J]. Archive for Rational Mechanics and Analysis,1964,16(1):51–78.
[19] MINDLIN R D. Second gradient of strain and surface-tension in linear elasticity[J]. International Journal of Solids and Structures,1965,1(4):417–438.
[20] MINDLIN R D,ESHEL N N. On first strain-gradient theories in linear elasticity[J]. International Journal of Solids and Structures,1968,(4):109–124.
[21] LU A Z,XU G S,SUN F. Elasto-plastic analysis of a circular tunnel including the effect of the axial in situ stress[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(1):50–59.
[22] ZHAO J D,PEDROSO D. Strain gradient theory in orthogonal curvilinear coordinates[J]. International Journal of Solids and Structures,2008,45(11):3 507–3 520.
[23] ZHAO J D,SHENG D C,SCOTT W S. Cavity expansion of a gradient-dependent solid cylinder[J]. International Journal of Solids and Structures,2007,44(13):4 342–4 368.
[24] 张强勇,张绪涛,向 文,等. 不同洞形与加载方式对深部岩体分区破裂影响的模型试验研究[J] 岩石力学与工程学报,2013,32(8):1 564–1 571.(ZHANG Qiangyong,ZHANG Xutao,XIANG Wen,et al. Model test study of zonal disintegration in deep rock mass under different cavern shapes and loading conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(8):1 564–1 571.(in Chinese))
[25] 张绪涛,张强勇,向 文,等. 深部层状节理岩体分区破裂模型试验研究[J]. 岩土力学,2014,35(8):2 247–2 254.(ZHANG Xutao,ZHANG Qiangyong,XIANG Wen,et al. Model test study of zonal disintegration in deep layered jointed rock mass[J]. Rock and Soil Mechanics,2014,35(8):2 247–2 254.(in Chinese)) |
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