椭圆准则的岩石三轴试验运用分析
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摘要
岩石强度破坏理论是岩石力学与工程问题的理论基础。本文推广了适用于金属玻璃材料拉伸破坏下的椭圆准则强度理论运用于岩石材料,开展如下主要工作:导出椭圆准则在o-σ_1σ_2σ_3坐标系下的描述形式,再选取三组不同类型的岩石式样,观察每组岩石式样的常三轴实验数据与椭圆准则强度曲线的偏离程度。结果表明,每组式样的实验数据点总体上在椭圆准则强度曲线附近,偏差较小。该准则对于岩石材料是适用的。
The theory of rock strength destruction is the theoretical basis of rock mechanics and engineering problems.The ellipse criterion which could be applicable to the tensile fracture criterion of metallic glass. Was used to rock material the following main work is carried out: exporting the description form of ellipse criterion in o-σ_1σ_2σ_3 coordinate system, selecting three different types of rock patterns and observing the deviation degree of the triaxial experimental data of each type and the strength curve of the ellipse criterion. In general, the experimental datum of each group of patterns are near the ellipse criterion strength curve, and the deviation is small. This criterion can be applicable to rock materials.
The theory of rock strength destruction is the theoretical basis of rock mechanics and engineering problems.The ellipse criterion which could be applicable to the tensile fracture criterion of metallic glass. Was used to rock material the following main work is carried out: exporting the description form of ellipse criterion in o-σ_1σ_2σ_3 coordinate system, selecting three different types of rock patterns and observing the deviation degree of the triaxial experimental data of each type and the strength curve of the ellipse criterion. In general, the experimental datum of each group of patterns are near the ellipse criterion strength curve, and the deviation is small. This criterion can be applicable to rock materials.
引文
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[4] 王登科,于充,左伟芹.《岩石力学基础》实验教学的改革与探索[J].教育现代化,2018,5(19):37-38.
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[10] 俞茂宏,昝月稳,范文等.20 世纪岩石强度理论的发展--纪念Mohr-Coulomb 强度理论100 周年[J].岩石力学与工程学报,2000,19(5):545～550.
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[12] Eberhardt E.The Hoek-Brown failure criterion [J].Rock Mechanics and Rock Engineering.2012(45):981-988.
[13] 张哲峰.新的统一拉伸断裂准则-椭圆准则[J],中国基础科学,2005,7(3):29-30.
[14] Wu,F.F.,Zhang,Z.F.,Mao,S.X.,etal.Effect of annealing on the mechanical properties and fracture mechanisms of a Zr56.2Ti13.8Nb5.0Cu6.9Ni5.6Be12.5 bulk-metallic-glass composite.Phys.Rev.B 2007(75):134201.
[15] Qu R T,Eckert J,Zhang Z F.Tensile fracture criterion of metallic glass [J].Journal of Applied Physics,2011(109):083544.
[16] Zhang Z F,Eckert J.Unified tensile fracture criterion [J].Physical Review Letters,2005(94):094301.
[17] Qu R T,Zhang Z F.A universal fracture criterion for high-strength materials [J].Scientific Reports,2013(3):1117.
[18] Borecki,M,Kwasniewski,M,Pacha,J,et al.Triaxial compressive strength of two minera,Logic/diaggenetic varieties of coal-measure ,fine-medium grained Pniokewek and Anna sandstones tested under confining pressure up to 60Mpa.1982,119/2.
[19] Hobbs,D.W.The strength and the stress-strain characteri Stics of coal in triaxial compression[J].J.Geol .1964(72):214-231.
[20] Betourney,M.C,Gorski,B,Labrie,,D,et al,M.New considerations in thedetermination of Hoke and Brown material constants.7th lnt.CongRock Mech,(LSRM),Aachen,Vol,1991(1):195-200.
[2] 李守定,李晓,张年学,等.三峡库区侏罗系易滑地层沉积特征及其对岩石物理力学性质的影响[J].工程地质学报,2004(4):385-389.
[3] YOU M Q.True-triaxial strength criteria for rock [J].International Journal of Rock Mechanics and Mining Sciences,2009,46(1):115-127.
[4] 王登科,于充,左伟芹.《岩石力学基础》实验教学的改革与探索[J].教育现代化,2018,5(19):37-38.
[5] Brown E T.Rock mechanics in Australia [J],International Journal of Rock Mechanics and Mining Sciences,2002,39(5):529-538.
[6] 路德春,江强,姚仰平.广义非线性强度理论在岩石材料中的应用[J].力学学报,2005,37(6):729-736:
[7] 张永兴,阴可,贺永年.岩石力学[M].北京,中国建筑工业出版社.2013:9-38.
[8] 蔡美峰,何满潮,刘东燕.岩石力学与工程[M],北京:科学出版社.2000:75-128.
[9] 尤明庆.岩石的力学性质[M],北京:地质出版社,2007.
[10] 俞茂宏,昝月稳,范文等.20 世纪岩石强度理论的发展--纪念Mohr-Coulomb 强度理论100 周年[J].岩石力学与工程学报,2000,19(5):545～550.
[11] Hoek E,Marinos P.A brief history of the development of the Hoek Brown failure criterion [J].Journal of Soil and Rocks,2007,(2):1-12.
[12] Eberhardt E.The Hoek-Brown failure criterion [J].Rock Mechanics and Rock Engineering.2012(45):981-988.
[13] 张哲峰.新的统一拉伸断裂准则-椭圆准则[J],中国基础科学,2005,7(3):29-30.
[14] Wu,F.F.,Zhang,Z.F.,Mao,S.X.,etal.Effect of annealing on the mechanical properties and fracture mechanisms of a Zr56.2Ti13.8Nb5.0Cu6.9Ni5.6Be12.5 bulk-metallic-glass composite.Phys.Rev.B 2007(75):134201.
[15] Qu R T,Eckert J,Zhang Z F.Tensile fracture criterion of metallic glass [J].Journal of Applied Physics,2011(109):083544.
[16] Zhang Z F,Eckert J.Unified tensile fracture criterion [J].Physical Review Letters,2005(94):094301.
[17] Qu R T,Zhang Z F.A universal fracture criterion for high-strength materials [J].Scientific Reports,2013(3):1117.
[18] Borecki,M,Kwasniewski,M,Pacha,J,et al.Triaxial compressive strength of two minera,Logic/diaggenetic varieties of coal-measure ,fine-medium grained Pniokewek and Anna sandstones tested under confining pressure up to 60Mpa.1982,119/2.
[19] Hobbs,D.W.The strength and the stress-strain characteri Stics of coal in triaxial compression[J].J.Geol .1964(72):214-231.
[20] Betourney,M.C,Gorski,B,Labrie,,D,et al,M.New considerations in thedetermination of Hoke and Brown material constants.7th lnt.CongRock Mech,(LSRM),Aachen,Vol,1991(1):195-200.