深部隧道围岩分区破裂的内变量梯度塑性模型

摘要
图/表
参考文献(26)
相关文章 (15)

全文: PDF (432 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要在变形进入到塑性阶段之后，隧道岩体中会产生显著的能量耗散和自我组织现象，岩体粒子之间的长程相互作用明显。为此需要在岩体模型中加入内变量梯度项。作为额外的内变量，引入有效塑性应变梯度这一新变量。利用虚功原理得到岩体的平衡方程、边界条件。利用Clausius-Duhem不等式获得岩体内变量演化方程。对于圆形深部隧道，由上述理论得到有效塑性应变的支配方程和边界条件，并利用岩体理想脆性模型求得支配方程的解。该解能够描述深部隧道围岩的分区破裂现象。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	戚承志1
	钱七虎2
	王明洋2
	陈剑杰3

关键词 ：岩石力学, 深部隧道, 分区破裂, 内变量, 梯度塑性理论

Abstract：In plastic deformation regime，energy dissipation and self-organization phenomenon take place in rock masses surrounding tunnels，and the long-range interaction between rock particles becomes significant. Therefore，the term of internal variable gradient should be added to the constitutive model of rock masses. Gradient of effective plastic strain is introduced as an additional internal variable. Equilibrium equations and boundary conditions are derived by using the virtual work principle. Evolutionary equations for internal variables of rock masses are obtained by using the Clausius-Duhem inequality. For circular deep tunnels，the governing equation for effective plastic strain is obtained from the above model. Solution to the governing equation for ideal brittle model of rock masses is achieved. The solution may describe zonal disintegration phenomenon very well.

Key words： rock mechanics deep tunnels zonal disintegration internal variable gradient plasticity thecry

引用本文:

戚承志1，钱七虎2，王明洋2，陈剑杰3. 深部隧道围岩分区破裂的内变量梯度塑性模型[J]. 岩石力学与工程学报, 2012, 31(S1): 2722-2728.
QI Chengzhi 1，QIAN Qihu2，WANG Mingyang2，CHEN Jianjie3. INTERNAL VARIABLE GRADIENT PLASTICITY MODEL FOR ZONAL DISINTEGRATION OF SURROUNDING ROCKS IN DEEP TUNNELS. , 2012, 31(S1): 2722-2728.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2012/V31/IS1/2722

[1] 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]. Journal of Mining Science，1986，22(3)：157–168.

[2] SHEMYAKIN E I，FISENKO G L，KURLENYA M V，et al. Zonal disintegration of rocks around underground workings. part II：rock fracture simulated in equivalent materials[J]. Journal of Mining Science，1986，22(4)：223–232.

[3] SHEMYAKIN E I，FISENKO G L，KURLENYA M V，et al. Zonal disintegration of rocks around underground mines，part III： theoretical concepts[J]. Journal of Mining Science，1987，23(1)：1–6.

[4] SHEMYAKIN E I，FISENKO G L，KURLENYA M V，et al. Zonal disintegration of rocks around underground workings. part IV：practical applications[J]. Journal of Mining Science，1989，25(4)：297–302.

[5] ODINTSEV V N. On mechanism of zonal disintegration of rock near deep level tunnels[J]. Journal of Mining Science，1994，30(4)：10–19.

[6] CHANYSHEV A I. On problem of fracture of deformable media， part I：basic equations[J]. Journal of Mining Science，2001，37(3)：53–67.

[7] CHANYSHEV A I. On problem of fracture of deformable media，part II：discussion of results of analytical solutions[J]. Journal of Mining Science，2001，37(4)：57–66.

[8] GUZEV M A，POROSHIN A A. Non-Euclidean model of zonal disintegration of rock mass near deep level tunnels[J]. Applied Mechanics and Technical Physics，2001，42(1)：147–156.

[9] 潘一山，李英杰，唐鑫，等. 岩石分区碎裂化现象研究[J]. 岩石力学与工程学报，2007，26(增1)：3 335–3 341.(PAN Yishan， LI Yingjie，TANG Xin，et al. Study on zonal disintegration of rock[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(Supp.1)：3 335–3 341.(in Chinese))

[10] 贺永年，蒋斌松，韩立军，等. 深部巷道围岩间隔性区域断裂研究[J]. 中国矿业大学学报，2008，37(3)：300–304.(HE Yongnian，JIANG Binsong，HAN Lijun，et al. Study of intermittent zonal fracturing of surrounding rock in deep roadways[J]. Journal of China University of Mining and Technology，2008，37(3)：300–304.(in Chinese))

[11] 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))

[12] 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 Qianyong，CHEN Xuguan，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))

[13] 唐春安，张永彬. 岩体间隔破裂机制及演化规律初探[J]. 岩石力学与工程学报，2008，27(7)：1 362–1369.(TANG Chun¢an， ZHANG Yongbin. Discussion on mechanism and evolution laws of fracture spacing in rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(7)：1 362–1 369.(in Chinese))

[14] QI C Z，QIAN Q H，WANG Mingyang. Evolution of the deformation and fracturing in rock masses near deep-level tunnels[J]. Journal of Mining Science，2009，45(2)：112–119.

[15] WANG M Y，QI C Z，QIAN Q H，et al. Physical modeling of the deformation increment sign change effect of rock sample under compression[J]. Journal of Mining Science，2010，46(4)：21– 28.

[16] 戚承志，钱七虎. 岩体动力变形破坏的基本问题[M]. 北京：科学出版社，2009：322–342.(QI Chengzhi，QIAN Qihu. Basic problems of dynamic deformation and fracture of rock mass[M]. Beijing：Science Press，2009：322–342.(in Chinese))

[17] AIFANTIS E C. On the microstructural origin of certain inelastic models[J]. Journal of Engineering Materials and Technology， ASME，1984，106(4)：326–330.

[18] VARDOULAKIS I，AIFANTIS E C. A gradient flow theory of plasticity for granular materials[J]. Acta Mechanica，1991，87(3/4)：197–217.

[19] AIFANTIS E C. Pattern formation in plasticity[J]. International Journal of Engineering Science，1995，33(11)：2 161–2 178.

[20] FLECK N A，HUTCHINSON J W. Strain gradient plasticity[C]// Hutchinson J W，Wu T Y ed. Advances in Applied Mechanics. New York：Academic Press，1997：295–361.

[21] CHAMBON R，CAILERIE D，HASAN N E. One-dimensional localization studied with a second grade model[J]. European Journal of Mechanics—A/Solids，1998，17(4)：637–656.

[22] ABU AL-RUB R K，VOYIADJIS G Z. A physically based gradient plasticity theory[J]. International Journal of Plasticity，2006，22(4)：654–684.

[23] POLIZZOTTO C. Unified thermodynamic framework for nonlocal/ gradient continuum theories[J]. European Journal of Mechanics—A/Solids，2003，22(5)：651–668.

[24] POLIZZOTTO C. Interfacial energy effects within the framework of strain gradient plasticity[J]. International Journal of Solids and Structures，2009，46(7/8)：1 685–1 694.

[25] ILJUSHIN A A. Plasticity[M]. Moscow：OGIS，1948：44–50.

[26] SHEMYAKIN E I. Two problems of rock mechanics related to exploitation of deep level mines[J]. Journal of Mining Science，1975，11(6)：29–45.