基于能量理论的岩石动态破坏准则

doi:10.13722/j.cnki.jrme.2022.1010

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摘要现有的岩石破坏理论并未充分考虑工程扰动影响，往往会导致岩体工程灾害的发生，因此，亟需发展考虑应变率效应的岩石动态破坏准则。从能量转化的角度分析岩石材料整体破坏规律是破解岩石材料强度的有效途径，采用能量理论对岩石动态破坏准则进行研究。以岩石动态强度和整体破坏规律为基础，探索围压对能量释放方向的影响，创新构建岩石材料应变能释放分散连续性函数；引入考虑应变率效应的归一化单轴动态强度模型，建立岩石材料考虑应变率效应的最大能量释放率的临界值Gcd表达式；基于岩石材料动态最大能量释放率，提出考虑应变率效应的岩石动态破坏准则。结果表明，基于弹性应变能的岩石动态强度准则的理论预测结果与3种岩石(类岩石)材料的试验结果吻合较好，可以较好地描述岩石(类岩石)材料的非线性动态强度特性。新构建的岩石动态破坏准则可以充分考虑岩石应变率效应，物理力学意义明确，对于研究动力扰动下岩石材料的屈服与破坏特性具有重要意义。

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	周昌台1
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	谢和平1
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	朱建波1
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关键词 ：岩石力学, 动态强度, 应变能, 强度准则, 能量释放, 能量耗散

Abstract：The current rock failure criteria fail to fully consider the influence of engineering disturbances，leading to potential disasters. Therefore，there is an urgent need to develop a dynamic rock failure criterion considering the effect of the strain rate. Exploring the strength law of rock materials from the perspective of energy transformation in the overall failure process proves to be an effective approach. Thus，this study investigates the dynamic failure criterion based on energy theory. Drawing inspiration from the dynamic strength and overall failure laws of rock materials，a novel continuity function for the strain energy release dispersion coefficient considering the external stress environment was constructed. This function can accurately reflect the influence of the confining pressure on the energy release direction of rock materials. Additionally，the critical value Gcd，which represents the dynamic maximum energy release rate of rock material considering the strain rate effect，was established by introducing a unified dynamic uniaxial compressive strength model. Finally，the dynamic failure criterion considering the strain rate effect was proposed based on the maximum dynamic energy release rate of rock materials. The results demonstrate a good agreement between the theoretical predictions of the proposed rock dynamic strength criterion and the experimental results obtained from three different types of rock or rock-like materials. This criterion provides a better description of the nonlinear dynamic strength characteristics of rock or rock-like materials. Furthermore，the results indicate that the newly constructed energy dynamic failure criterion has a clear physical and mechanical meaning. The findings of this study have important engineering significance for studying the yield and failure characteristics of rock materials under dynamic disturbances.

Key words： rock mechanics dynamic strength elastic strain energy strength criterion energy release energy dissipation

引用本文:

周昌台1，2，3，谢和平1，2，3，朱建波1，2. 基于能量理论的岩石动态破坏准则[J]. 岩石力学与工程学报, 2023, 42(8): 1890-1898.
ZHOU Changtai1，2，3，XIE Heping1，2，3，ZHU Jianbo1，2. A dynamic strength criterion of rock materials based on energy theory. , 2023, 42(8): 1890-1898.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1010 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I8/1890

[2]	谢和平，陈忠辉. 岩石力学[M]. 北京：科学出版社，2004：52-59.(XIE Heping，CHEN Zhonghui. Rock mechanics[M]. Beijing：Science Press，2004：52-59.(in Chinese))
[7]	GUEST J J. On the strength of ductile materials under combined stress[J]. Philosophical Magazine，1899，17(1)：202.
[4]	YU M H. Advances in strength theories for materials under complex stress state in the 20th Century[J]. Advances in Mechanics，2004，34(4)：529-560.
[6]	DRUCKER D C，PRAGER W. Soil mechanics and plastic analysis on limit design[J]. Journal of Applied Mathematics，1952，10(2)：157-165.
[9]	XIE H，ZHU J，ZHOU T，et al. Conceptualization and preliminary study of engineering disturbed rock dynamics[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources，2020，6：1-14.
[13]	钱七虎，戚承志. 岩石、岩体的动力强度与动力破坏准则[J]. 同济大学学报：自然科学版，2008，36(12)：1 599-1 605.(QIAN Qihu，QI Chengzhi. Dynamic strength and dynamic fracture criteria of rock and rock mass[J]. Journal of Tongji University，2008，36(12)：1 599-1 605.(in Chinese))
[16]	QIAN Q H，QI C Z，WANG M Y. Dynamic strength of rocks and physical nature of rock strength[J]. Journal of Rock Mechanics and Geotechnical Engineering，2009，1(1)：1-10.
[18]	马林建，阳发，王明洋，等. 考虑应变率效应的广义Hoek-Brown 动态强度准则[J]. 岩土力学，2017，38(增2)：27-32.(MA Linjian，YANG Fa，WANG Mingyang，et al. Generalized Hoek-Brown dynamic strength criterion incorporating strain rate effect[J]. Rock and Soil Mechanics，2017，38(Supp.2)：27-32.(in Chinese))
[22]	HAO Y，HAO H，LI Z X. Influence of end friction confinement on impact tests of concrete material at high strain rate[J]. International Journal of Impact Engineering，2013，60：82-106.
[25]	郭建强，刘新荣，黄武锋，等. 基于弹性应变能的 Mohr-Coulomb 强度准则讨论[J]. 同济大学学报：自然科学版，2018，46(9)：1 168-1 174.(GUO Jianqiang，LIU Xinrong，HUANG Wufeng，et al. Discussion on M-C Strength criterion based on elastic strain energy[J]. Journal of Tongji University：Natural Science，2018，46(9)：1 168-1 174.(in Chinese))
[27]	高红，郑颖人，冯夏庭. 岩土材料能量屈服准则研究[J]. 岩石力学与工程学报，2007，26(12)：2 437-2 443.(GAO Hong，ZHENG Yingren，FENG Xiating. Study on energy yield criterion of geomaterials[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(12)：2 437-2 443.(in Chinese))
[31]	刘晓辉，薛洋，郑钰，等. 冲击荷载下煤岩破碎过程能量释放研究[J]. 岩石力学与工程学报，2021，40(增2)：3 201-3 211.(LIU Xiaohui，XUE Yang，ZHENG Jue，et al. Research on energy release in coal rock fragmentation process under impact load[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(Supp.2)：3 201-3 211. (in Chinese))
[34]	PENG J，CAI M，RONG G，et al. Determination of confinement and plastic strain dependent post-peak strength of intact rocks[J]. Engineering Geology，2017，218：187-196.
[36]	GRADY D E，KIPP M E. The micromechanics of impact fracture of rock[J]. International Journal of Rock Mechanics and Mining Sciences Abstraction，1979，16(5)：293-302.
[40]	DU H B，DAI F，LIU Y，et al. Dynamic response and failure mechanism of hydrostatically pressurized rocks subjected to high loading rate impacting[J]. Soil Dynamics and Earthquake Engineering，2020，129：105927.
[3]	俞茂宏. 双剪理论及其应用[M]. 北京：科学出版社，1998：59-130. (YU Maohong. Unified strength theory and its applications[M]. Beijing：Science Press，1998：59-130.(in Chinese))
[12]	ZHAO J. Applicability of Mohr-Coulomb and Hoek-Brown strength criteria to the dynamic strength of brittle rock[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(7)：1 115-1 121.
[21]	OLSSON W. A. The compressive strength of tuff as a function of strain rate from 10-6 to 103/sec[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1991，28(1)：115-118.
[30]	赵忠虎，谢和平. 岩石变形破坏过程中的能量传递和耗散研究[J]. 四川大学学报：工程科学版，2008，40(2)：29-34.(ZHAO Zhonghu，XIE Heping. Energy transfer and energy dissipation in rock deformation and fracture[J]. Journal of Sichuan University：Engineering Science，2008，40(2)：29-34.(in Chinese))
[39]	GONG F Q，SI X F，LI X B，et al. Dynamic triaxial compression tests on sandstone at high strain rates and low confining pressures with split Hopkinson pressure bar[J]. International Journal of Rock Mechanics and Mining Sciences，2019，113：211-219.
[5]	TRESCA H. Mémoire sur l’écoulement des corps solides soumis à de fortes pressions[J]. Comptes Rendus Mécanique，Rend，1864，59：754-758.
[14]	宫凤强，司雪峰，李夕兵，等. 基于应变率效应的岩石动态Mohr-Coulomb准则和Hoek-Brown准则研究[J]. 中国有色金属学报，2016，26(8)：1 763-1 773.(GONG Fengqiang，SI Xuefeng，LI Xibing et al. Rock dynamic Mohr-Coulomb and Hoek-Brown criteria based on strain rate effect[J]. The Chinese Journal of Nonferrous Metals，2016，26(8)：1 763-1 773.(in Chinese))
[23]	谢和平，鞠杨，黎立云，等. 岩体变形破坏过程的能量机制[J]. 岩石力学与工程学报，2008，27(9)：1 729-1 740.(XIE Heping，JU Yang，LI Liyun，et al. Energy mechanism of deformation and failure of rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(9)：1 729-1 740.(in Chinese))
[32]	DOAN M L，GARY G. Rock pulverization at high strain rate near the San Andreas fault[J]. Nature Geoscience，2009，2(10)：709-712.
[41]	FU Q，BU M X，SU L，et al. Dynamic triaxial compressive response and failure mechanism of basalt fibre-reinforced coral concrete[J]. International Journal of Impact Engineering，2021，156：103930.
[1]	HOEK E，BROWN E T. The Hoek-Brown failure criterion and GSI - 2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering，2019，11(3)：445-463.
[10]	朱建波，马斌文，谢和平，等. 煤矿矿震与冲击地压的区别与联系及矿震扰动诱冲初探[J]. 煤炭学报，2022，47(9)：3 396-3 409.(ZHU Jianbo，MA Binwen，XIE Heping，et al. The differences and connections between mining seismicity and coal bursts in coal mines and preliminary study on coal bursts induced by mining seismicity[J]. Journal of China Coal Society，2022，47(9)：3 396-3 409.(in Chinese))
[19]	路德春，李萌，王国盛，等. 静动组合载荷下混凝土率效应机理及强度准则[J]. 力学学报，2017，49(4)：940-952.(LU Dechun，LI Meng，WANG Guosheng，et al. Study on strain rate effect and strength criterion of concrete under static-dynamic coupled loading[J]. Chinese Journal of Theoretical and Applied Mechanics，2017，49(4)：940-952.(in Chinese))
[28]	周辉，李震，杨艳霜，等. 岩石统一能量屈服准则[J]. 岩石力学与工程学报，2013，32(11)：2 170-2 184.(ZHOU Hui，LI Zhen，YANG Yanshuang，et al. Unified energy yield criterion of rock[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(11)： 2 170- 2 184.(in Chinese))
[37]	KIMBERLEY J，RAMESH K T，DAPHALAPURKAR N P. A scaling law for the dynamic strength of brittle solids[J]. Acta Mater，2013，61(9)：3 509-3 521.
[8]	谢和平，鞠杨，黎立云. 基于能量耗散与释放原理的岩石强度与整体破坏准则[J]. 岩石力学与工程学报，2005，24(17)：3 003-3 010. (XIE Heping，JU Yang，LI Liyun. Criteria for strength and structural failure of rocks based on energy dissipation release principles[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(17)：3 003- 3 010.(in Chinese))
[11]	GRADY D E，LIPKIN J. Criteria for impulsive rock fracture[J]. Geophysical Research Letters，1980，7(4)：255-258.
[15]	SI X F，GONG F Q，LI X B，et al. Dynamic Mohr-Coulomb and Hoek-Brown strength criteria of sandstone at high strain rates[J]. International Journal of Rock Mechanics and Mining Sciences，115(13)：48-59.
[17]	杜修力，王国盛，路德春. 混凝土材料非线性多轴动态强度准则[J]. 中国科学：技术科学，2014，44(12)：1 319-1 332.(DU Xiuli，WANG Guosheng，LU Dechun. Nonlinear multiaxial dynamic strength criterion for concrete material[J]. Scientia Sinica：Technologica，2014，44(12)：1 319-1 332.(in Chinese))
[20]	MASUDA K，MIZUTANI H，YAMADA I. Experimental study of strain-rate dependence and pressure dependence of failure properties of granite[J]. Journal of Physics of the Earth，1987，35(1)：37-66.
[24]	郭建强，刘新荣. 强度准则与岩爆判据统一的研究[J]. 岩石力学与工程学报，2018，37(增1)：3 340-3 352.(GUO Jianqiang，LIU Xinrong. Study on the uniformity between strength criterion and rockburst criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(Supp.1)：3 340-3 352.(in Chinese))
[26]	张后全，徐建峰，贺永年，等. 脆性岩石真三轴能量强度准则研究[J]. 中国矿业大学学报，2012，41(4)：564-570.(ZHANG Houquan，XU Jianfeng，HE Yongnian，et al. Study of triaxial energy strength criterion for brittle rock material[J]. Journal of China University of Mining and Technology，2012，41(4)：564-570.(in Chinese))
[29]	郭建强，刘新荣，王军保，等. 基于弹性应变能的岩石强度准则[J].岩土力学，2016，37(增2)：129-136.(GUO Jianqiang，LIU Xinrong，WANG Junbao，et al. Investigation on strength criterion of rock based on elastic strain energy[J]. Rock and Soil Mechanics，2016，37(Supp.2)：129-136.(in Chinese))
[33]	武仁杰，李海波，李晓锋，等．冲击载荷作用下层状岩石破碎能耗及块度特征[J]. 煤炭学报，2020，45(3)：1 053-1 060.(WU Renjie，LI Haibo，LI Xiaofeng，et al. Broken energy dissipation and fragmentation characteristics of layered rock under impact loading[J]. Journal of China Coal Society，2020，45(3)：1 053-1 060.(in Chinese))
[35]	高超. 页岩变形破坏的弹脆性特征及能量演化研究[博士学位论文][D]. 成都：四川大学，2019.(GAO Chao. The investigation of elastic-brittle deformation properties of shale and its failure energy evolution analysis[M. S. Thesis][D]. Chengdu：Sichuan University，2019.(in Chinese))
[38]	LI X F，LI H B，ZHAO J. Grain-based discrete element method(GB-DEM) modelling of multi-scale fracturing in rocks under dynamic loading[J]. Rock Mechanics and Rock Engineering，2018，51：3 785-3 817.
[42]	ZHANG Q B，ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials[J]. Rock Mechanics and Rock Engineering，2014，47(4)：1 411-1 478.