孔隙煤岩损伤破坏行为的数值模拟
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摘要
利用ANSYS有限元软件,构建了孔隙煤岩细观单元的二维数值计算模型;提出了一种针对孔隙煤岩复杂几何模型的网格优化措施,实现了整体映射网格与局部自由网格相结合的划分方法,提高了生成单元的质量以及求解效率;借助单元生死技术模拟了孔隙煤岩的脆性损伤破坏过程,研究了孔隙率及孔隙形态对煤岩整体力学行为的影响。研究表明,孔隙煤岩的损伤破坏行为和孔隙率、孔隙位置、孔隙形态等几何参数有关。孔隙集中的区域会出现应力或应变集中的现象,随着孔隙率及孔隙长短轴比增大,煤岩细观单元损伤现象更加明显,弹性模量下降,煤岩强度急剧下降,且损伤阈值也有所下降。
A serial of 2D numerical models representing mesoscopic units of porous rocks were constructed and then damage and failure behavior of rocks was simulated. The effect of porosity and pore shape on the overall mechanical behavior of porous rocks was discussed. An improved meshing approach for geometric models of porous rocks were proposed to put global mapping meshing and local free meshing into together,and consequently element quality and solving efficiency were improved. Element birth and death were introduced to simulate the brittle damage and failure processes of porous rocks. It was indicated that damage and failure of porous rocks depends on the geometric parameters such as porosity,pore position and pore shape. Stress or strain concentration appears in those area surrounded with more pores. With the increase of porosity of porous rocks and aspect ratio of pores,the damage of rocks becomes more severe,the elastic modulus of rocks decreases,the strength of rocks sharply drops and the critical damage variable also declines.
A serial of 2D numerical models representing mesoscopic units of porous rocks were constructed and then damage and failure behavior of rocks was simulated. The effect of porosity and pore shape on the overall mechanical behavior of porous rocks was discussed. An improved meshing approach for geometric models of porous rocks were proposed to put global mapping meshing and local free meshing into together,and consequently element quality and solving efficiency were improved. Element birth and death were introduced to simulate the brittle damage and failure processes of porous rocks. It was indicated that damage and failure of porous rocks depends on the geometric parameters such as porosity,pore position and pore shape. Stress or strain concentration appears in those area surrounded with more pores. With the increase of porosity of porous rocks and aspect ratio of pores,the damage of rocks becomes more severe,the elastic modulus of rocks decreases,the strength of rocks sharply drops and the critical damage variable also declines.
引文
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[2]赵鹏,谢凌志,熊伦.无煤柱开采条件下煤岩体支承压力的数值模拟[J].煤炭学报,2011,36(12):2029-2034.Zhao Peng,Xie Lingzhi,Xiong Lun.Numerical simulation of abutment pressure in coal for non-pillar mining[J].Journal of China Coal Society,2011,36(12):2029-2034.
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[4]李建功,康建宁,刘红,等.地震波在巷道弹塑性围岩中传播规律的数值模拟研究[J].煤炭学报,2011,36(S2):282-286.Li Jiangong,Kang Jianning,Liu Hong,et al.Numerical simulation on propagation laws of seismic wave in elastoplastic tunnel rock medium[J].Journal of China Coal Society,2011,36(S2):282-286.
[5]曹鹏,冯德成,沈新普,等.基于ABAQUS平台的塑性损伤子程序开发及其稳定性研究[J].工程力学,2012,29(S2):101-106.Cao Peng,Feng Decheng,Shen Xinpu,et al.Development of plasticity-damage model based on abaqus and algorithm stability analysis[J].Engineering Mechanics,2012,29(S2):101-106.
[6]龙渝川,李正良.基于能量耗散机制的混凝土受压损伤模型[J].工程力学,2010,27(S2):171-177.Long Yuchuan,Li Zhengliang.A compressive damage model of concrete based on energy dissipation mechanism[J].Engineering Mechanics,2010,27(S2):171-177.
[7]刘智光,陈健云,白卫峰.基于随机损伤模型的混凝土轴拉破坏过程研究[J].岩石力学与工程学报,2009,28(10):2048-2058.Liu Zhiguang,Chen Jianyun,Bai Weifeng.Research on concrete failure process under uniaxial tension based on stochastic damage model[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(10):2048-2058.
[8]赵吉坤,张子明,刘仲秋,等.大理岩破坏过程的三维细观弹塑性损伤模拟研究[J].岩土工程学报,2008,30(9):1309-1315.Zhao Jikun,Zhang Ziming,Liu Zhongqiu,et al.3D numerical simulation of elasto-plastic damage and failure process of marble rock[J].Chinese Journal of Geotechnical Engineering,2008,30(9):1309-1315.
[9]杨伯源,李运军,汪忠明.基于非局部模型的混凝土损伤的数值模拟[J].合肥工业大学学报(自然科学版),2007,30(4):472-474.Yang Boyuan,Li Yunjun,Wang Zhongming.Numerical simulation of concrete material based on the non-local damage model[J].Journal of Hefei University of Technology,2007,30(4):472-474.
[10]李树忱,冯现大,李术才,等.深部岩体分区破裂化现象数值模拟[J].岩石力学与工程学报,2011,30(7):1337-1344.Li Shuchen,Feng Xianda,Li Shucai,et al.Numerical simulation of zonal disintegration for deep rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(7):1337-1344.
[11]孙倩,李树忱,冯现大,等.基于应变能密度理论的岩石破裂数值模拟方法研究[J].岩土力学,2011,32(5):1575-1582.Sun Qian,Li Shuchen,Feng Xianda,et al.Study of numerical simulation method of rock fracture based on strain energy density theory[J].Rock and Soil Mechanics,2011,32(5):1575-1582.
[12]蓝航,潘俊锋,彭永伟.煤岩动力灾害能量机理的数值模拟[J].煤炭学报,2010,35(S1):10-14.Lan Hang,Pan Junfeng,Peng Yongwei.Numerical simulation for energy mechanism of underground dynamic disaster[J].Journal of China Coal Society,2010,35(S1):10-14.
[13]王来贵,赵娜,何峰,等.岩石蠕变损伤模型及其稳定性分析[J].煤炭学报,2009,34(1):64-68.Wang Laigui,Zhao Na,He Feng,et al.Rock creep damage model and its stability analysis[J].Journal of China Coal Society,2009,34(1):64-68.
[14]唐春安,芮勇勤,刘红元,等.含瓦斯“试样”突出现象的RFPA2D数值模拟[J].煤炭学报,2000,25(5):501-505.Tang Chun’an,Rui Yongqin,Liu Hongyuan,et al.Numerical simulation to outburst mechanism of coal or rock containing gas with FRPA2Dsystem[J].Journal of China Coal Society,2000,25(5):501-505.
[15]梁正召,唐春安,张永彬,等.岩石三维破裂过程的数值模拟研究[J].岩石力学与工程学报,2006,25(5):931-936.Liang Zhengzhao,Tang Chunan,Zhang Yongbin,et al.3D numerical simulation of failure process of rock[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(5):931-936.
[16]朱万成,唐春安,杨天鸿,等.岩石破裂过程分析用(RFPA2D)系统的细观单元本构关系及验证[J].岩石力学与工程学报,2003,22(1):24-29.Zhu Wanchcng,Tang Chun’an,Yang Tianhong,et al.Constitutive relationship of mesoscopic elements used in RFPA2Dand its validations[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(1):24-29.
[17]黄达,岑夺丰.单轴静-动相继压缩下单裂隙岩样力学响应及能量耗散机制颗粒流模拟[J].岩石力学与工程学报,2013,32(9):1926-1936.Huang Da,Cen Duofeng.Mechanical responses and energy dissipation mechanism of rock specimen with a single fissure under static and dynamic uniaxial compression using particle flow code simulations[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(9):1926-1936.
[18]马刚,周伟,常晓林,等.堆石体三轴剪切试验的三维细观数值模拟[J].岩土工程学报,2011,33(5):746-753.Ma Gang,Zhou Wei,Chang Xiaolin,et al.3D mesoscopic numerical simulation of triaxial shear tests for rockfill[J].Chinese Journal of Geotechnical Engineering,2011,33(5):746-753.
[19]高亚楠,程红梅,李玺茹,等.单一煤层钻孔割缝卸压增透的非连续变形分析(DDA)模拟[J].煤炭学报,2011,36(12):2068-2073.Gao Yanan,Cheng Hongmei,Li Xiru,et al.The numerical modelling of slotted drilling in single coal seam based on DDA[J].Journal of China Coal Society,2011,36(12):2068-2073.
[20]左建平,陈忠辉,王怀文,等.深部煤矿采动诱发断层活动规律[J].煤炭学报,2009,34(3):305-309.Zuo Jianping,Chen Zhonghui,Wang Huaiwen,et al.Experimental investigation on fault activation pattern under deep mining[J].Journal of China Coal Society,2009,34(3):305-309.
[21]郭德勇,吕鹏飞,裴海波,等.煤层深孔聚能爆破裂隙扩展数值模拟[J].煤炭学报,2012(2):274-278.Guo Deyong,LüPengfei,Pei Haibo,et al.Numerical simulation on crack propagation of coal bed deep-hole cumulative blasting[J].Journal of China Coal Society,2012(2):274-278.
[22]付金伟,朱维申,曹冠华,等.岩石中三维单裂隙扩展过程的试验研究和数值模拟[J].煤炭学报,2013,37(3):411-417.Fu Jinwei,Zhu Weishen,Cao Guanhua,et al.Experimental study and numerical simulation of propagation and coalescence process of a single three-dimensional flaw in rocks[J].Journal of China Coal Society,2013,37(3):411-417.
[23]Chen C,Lu T J,Fleck N A.Effect of imperfections on the yielding of two-dimensional foams[J].Journal of the Mechanics and Physics of Solids,1999,47(11):2235-2272.
[24]Chen C,Lu T J,Fleck N A.Effect of inclusions and holes on the stiffness and strength of honeycombs[J].International Journal of Mechanical Sciences,2001,43(2):487-504.
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