冲击倾向性煤体强度尺寸效应的影响因素研究
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摘要
为理清煤体强度尺寸效应数值模拟过程中力学参数折减的原因,以强度尺寸效应作为问题切入点,通过实验室试验探讨强冲击倾向性煤体强度尺寸效应,结合最弱链理论的Weibull分布推导强度尺寸效应的理论公式,利用数值模拟研究强度尺寸效应的影响因素。研究结果表明:冲击倾向性煤体强度具有明显的尺寸效应,随着尺寸(长、宽、高)增大,强度降低,两者符合指数函数关系;概率统计分布能够表达出强度尺寸效应内在本质,指出均质度m是煤岩体强度尺寸效应的主要影响因素;数值模拟结果显示:在尺寸一定时,随着均质度增大,煤岩强度表现为上凸的增长曲线,按照强度大小变化可划分为3个阶段,即波动上升阶段、快速增长阶段、渐缓增长阶段;随着均质度增大,强度趋于收敛,极限值即为煤岩体细观尺寸强度;随着均质度增大,尺寸变化对强度的影响程度降低。
In order to clarify the reasons of mechanics parameters reduction in the numerical simulation process,the strength size effect was taken as the starting point of the problem. The external appearance of strength size effect about strong bump-prone coal was studied by laboratory test. The theoretical formula of strength size effect was deduced based on the Weibull distribution of the weakest chain theory,and the inherent nature of strength size effect was revealed. The influencing factors of strength size effect were discussed by means of numerical simulation. The results show that: the bump-prone coal has obvious size effect. As the size(length,width and height) increases,the strength decreases,which was well in accordance with the exponential function relationship; The probability and statistical distribution can express the intrinsic nature of the intensity size effect,indicating the homogeneity m is the main influencing factor of the strength effect of coal-rock mass.Numerical simulation results show that when the size is constant,the strength of coal rock shows an upward convex curve with the increase of homogeneity,which can be divided into three stages: namely the rising phase of volatility,the stage of rapid growth,and the stage of gradual growth. With the increase of homogeneity,the strength tends to converge,and the limit value is the meso size strength of coal and rock mass; when the homogeneity increases,the effect of size change on the strength decreases.
In order to clarify the reasons of mechanics parameters reduction in the numerical simulation process,the strength size effect was taken as the starting point of the problem. The external appearance of strength size effect about strong bump-prone coal was studied by laboratory test. The theoretical formula of strength size effect was deduced based on the Weibull distribution of the weakest chain theory,and the inherent nature of strength size effect was revealed. The influencing factors of strength size effect were discussed by means of numerical simulation. The results show that: the bump-prone coal has obvious size effect. As the size(length,width and height) increases,the strength decreases,which was well in accordance with the exponential function relationship; The probability and statistical distribution can express the intrinsic nature of the intensity size effect,indicating the homogeneity m is the main influencing factor of the strength effect of coal-rock mass.Numerical simulation results show that when the size is constant,the strength of coal rock shows an upward convex curve with the increase of homogeneity,which can be divided into three stages: namely the rising phase of volatility,the stage of rapid growth,and the stage of gradual growth. With the increase of homogeneity,the strength tends to converge,and the limit value is the meso size strength of coal and rock mass; when the homogeneity increases,the effect of size change on the strength decreases.
引文
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[12]林鹏,唐春安,黄凯珠,等.脆性介质中裂纹与孔洞缺陷的分类与尺寸效应[J].岩石力学与工程学报,2002,21(S2):2296-2300.LIN Peng,TANG Chun’an,WONG Kaizhu,et al. Classification and size effect of flaw and pore in brittle medium[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(S2):2296-2300.
[13]赵瑜,李晓红,卢义玉,等.瓦斯压力对非均质煤岩抗压强度尺寸效应的影响[J].煤炭学报,2009,34(8):1081-1085.ZHAO Yu,LI Xiaohong,LU Yiyu,et al. Influence of gas pressure on compressive strength size effect of inhomogeneous coal[J].Journal of China Coal Society,2009,34(8):1081-1085.
[14]冯增朝,赵阳升.岩体裂隙尺度对其变形与破坏的控制作用[J].岩石力学与工程学报,2008,27(1):78-83.FENG Zengchao,ZHAO Yangsheng. Control effect of fissure scale on deformation andfailure of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(1):78-83.
[2]刘宝琛,张寄生,杜奇中,等.岩石抗压强度的尺寸效应[J].岩石力学与工程学报,1998,17(6):611-614.LIU Baochen,ZHANG Jisheng,DU Qizhong,et al. A study of size effect for compression strength of rock[J]. Chinese Journal of Rock Mechanics and Engineering,1998,17(6):611-614.
[3]尤明庆,华安增.岩样单轴压缩下的尺寸效应和矿柱支承性能[J].煤炭学报,1997,22(1):37-41.YOU Mingqing,HUA Anzeng. The size effect of uniaxial compression of rock specimen and support capacity of ore pillar[J].Journal of China Coal Society,1997,22(1):37-41.
[4]周国林,谭国柱,李启光,等.剪切破坏模式下岩石的强度准则[J].岩石力学与工程学报,2001,20(6):753-762.ZHOU Guolin,TAN Guozhu,LI Qiguang,et al. New strength criterion for rock with shear failure mode[J]. Chinese Journal of Rock Mechanics and Engineering,2001,20(6):753-762.
[5]杨友卿.岩石强度的损伤力学分析[J].岩石力学与工程学报,1999,18(1):23-27.YANG Youqing. Continuum damage mechanics analysis of rock strength[J]. Chinese Journal of Rock Mechanics and Engineering,1999,18(1):23-27.
[6]何满潮,薛廷河,彭延飞.工程岩体力学参数确定方法的研究[J].岩石力学与工程学报,2001,20(2):225-229.HE Manchao,XUE Tinghe,PENG Yanfei. A new way of determining mechanical parameters of engineering rock masses[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(2):225-229.
[7]李宏,朱浮声,王泳嘉,等.岩石统计细观损伤与局部弱化失稳的尺寸效应[J].岩石力学与工程学报,1999,18(1):28-32.LI Hong,ZHU Fusheng,WANG Yongjia,et al. Size effects of statistical meso-damage and local softening instability of rock[J].Chinese Journal of Rock Mechanics and Engineering,1999,18(1):28-32.
[8]戚承志,钱七虎.岩体构造层次及其力学行为[J].世界地震工程,2004,20(2):35-38.QI Chengzhi,QIAN Qihu. Hierarchy of rock masses and their mechanical behavior[J]. World Earthquake Engineering,2004,20(2):35-38.
[9]张明,卢裕杰,杨强.准脆性材料的破坏概率与强度尺寸效应[J].岩石力学与工程学报,2010,29(9):1782-1789.ZHANG Ming,LU Yujie,YANG Qiang. Failure probability and strength size effect of quasi-brittle materials[J]. Chinese Journal of Rock and Engineering,2010,29(9):1782-1789.
[10]张明,卢裕杰,介玉新,等.不同加载条件下岩石强度尺寸效应的数值模拟[J].水力发电学报,2011,30(4):147-154.ZHANG Ming,LU Yujie,JIE Yuxin,et al. Numerical simulation of strength size effect of rock under different loading[J]. Journal of Hydroelectric Engineering,2011,30(4):147-154.
[11]吕兆兴,冯增朝,赵阳升.岩石的非均质性对其材料强度尺寸效应的影响[J].煤炭学报,2007,32(9):917-920.LYU Zhaoxing,FENG Zengchao,ZHAO Yangsheng. Influence of rock in-homogeneity on strength-size effect of rock materials[J]. Journal of China Coal Society,2007,32(9):917-920.
[12]林鹏,唐春安,黄凯珠,等.脆性介质中裂纹与孔洞缺陷的分类与尺寸效应[J].岩石力学与工程学报,2002,21(S2):2296-2300.LIN Peng,TANG Chun’an,WONG Kaizhu,et al. Classification and size effect of flaw and pore in brittle medium[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(S2):2296-2300.
[13]赵瑜,李晓红,卢义玉,等.瓦斯压力对非均质煤岩抗压强度尺寸效应的影响[J].煤炭学报,2009,34(8):1081-1085.ZHAO Yu,LI Xiaohong,LU Yiyu,et al. Influence of gas pressure on compressive strength size effect of inhomogeneous coal[J].Journal of China Coal Society,2009,34(8):1081-1085.
[14]冯增朝,赵阳升.岩体裂隙尺度对其变形与破坏的控制作用[J].岩石力学与工程学报,2008,27(1):78-83.FENG Zengchao,ZHAO Yangsheng. Control effect of fissure scale on deformation andfailure of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(1):78-83.
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