矩形巷道塑性区宽度计算方法研究
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摘要
针对矩形巷道,运用三剪能量屈服准则作为巷道围岩的塑性条件,以极限平衡理论为基础,结合应力平衡原理,推算出矩形巷道边帮的塑性区宽度的计算公式,分析了不同的巷道开挖宽度和屈服准则下的塑性区宽度的变化趋势;采用单因素分析法,进一步分析了岩体粘聚力、岩体内摩擦角和原始地层压力对塑性区宽度的影响。结果表明:塑性区宽度随巷道开挖宽度和原始地层压力的增大而增大,随岩体粘聚力和内摩擦角的增大而减小;相同巷道宽度下,塑性区宽度的三剪能量屈服准则解相对于Mohr-Coulomb准则解和Drucker-Prager准则解偏小。
In terms of the rectangular roadway,the calculation formula of the plastic zone width for rectangle roadway was obtained and the variation trend of plastic zone width under different roadway widths and yield criterion were analyzed by using the triple-shear energy yield criterion as the plastic conditions of surrounding rock and based on the limit equilibrium theory,combined with the stress balance principle. Furthermore,the influences of rock cohesive force,internal friction angle and original reservoir pressure on the plastic zone width were analyzed by single-factor analysis. The results show that roadway excavation width and original reservoir pressure increased with the increase in the plastic zone width,and the cohesive force and the friction angle of rock mass decreased with the increase in rock cohesive force and internal friction angle; under the same roadway width the plastic zone widths based on the Triple-shear energy yield criterion were smaller than those based on the Mohr-Coulomb criterion and the Drucker-Prager criterion.
In terms of the rectangular roadway,the calculation formula of the plastic zone width for rectangle roadway was obtained and the variation trend of plastic zone width under different roadway widths and yield criterion were analyzed by using the triple-shear energy yield criterion as the plastic conditions of surrounding rock and based on the limit equilibrium theory,combined with the stress balance principle. Furthermore,the influences of rock cohesive force,internal friction angle and original reservoir pressure on the plastic zone width were analyzed by single-factor analysis. The results show that roadway excavation width and original reservoir pressure increased with the increase in the plastic zone width,and the cohesive force and the friction angle of rock mass decreased with the increase in rock cohesive force and internal friction angle; under the same roadway width the plastic zone widths based on the Triple-shear energy yield criterion were smaller than those based on the Mohr-Coulomb criterion and the Drucker-Prager criterion.
引文
[1]王红才,赵卫华,孙东生,等.岩石塑性变形条件下的Mohr-Coulomb屈服准则[J].地球物理学报,2012,55(12):4 231-4 238.
[2]谷拴成,樊琦,刘伟.矩形巷道两帮塑性区宽度计算方法研究[J].矿业研究与开发,2015,35(1):60-63.
[3]BRADY B H G,BROWN E T.Rock mechanics for underground mining[M].Australia:Allen&Unwin,1985:121-129.
[4]张强,王红英,王水林,等.基于统一强度理论的破裂围岩劣化塑性分析[J].煤炭学报,2010,25(3):381-386.
[5]张小波,赵光明,孟祥瑞.基于岩石非线性统一强度准则的非均匀应力场中圆形巷道围岩塑性区分析[J].安全与环境学报,2013,3:202-206.
[6]张小波,赵光明,孟祥瑞.基于Drucker-Prager屈服准则的圆形巷道围岩弹塑性分析[J].煤炭学报,2013,38(S1):30-37.
[7]CHENG L,JIA Y,OUESLATI A,et al.Plastic limit state of the hollow sphere model with non-associated Drucker-Prager material under isotropic loading[J].Comput.Mater.Sci.,2012,62:210-215.
[8]施高萍,祝江鸿,李保海,等.矩形巷道围岩应力的弹性分析[J].岩土力学,2014,35(9):2 587-2 593.
[9]SUZUKI T,SHINO K,OTSUBO H,et al.Biomechanical comparison between the rectangular-tunnel and the round-tunnel anterior cruciate ligament reconstruction procedures with a bone patellar tendon bone graft[J].Arthroscopy,2014,30(10):1294-302.
[10]于永军,梁卫国,张百强,等.近水平煤层矩形巷道锚固参数确定及数值实验[J].辽宁工程技术大学学报(自然科学版),2014,33(7):917-922.
[11]高红,郑颖人,冯夏庭.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.
[12]张俊文,刘志军.基于三剪能量理论的巷道围岩弹塑性分析[J].煤炭学报,2013,38(S1):38-42.
[13]胡小荣.基于三剪统一强度准则的隧道围岩抗力系数计算[J].南昌大学学报(工科版),2011,33(4):355-359.
[14]池秀文.基于Drucker-Prager系列准则的矩形巷道塑性区宽度计算方法[J].矿业研究与开发,2016,36(2):52-56.
[15]高玮.倾斜煤柱稳定性的弹塑性分析[J].力学与实践,2001,23(2):23-26.
[16]吴立新,王金庄.煤柱屈服区宽度计算及其影响因素分析[J].煤炭学报,1995(6):625-631.
[17]张瀚,李英明,任方涛,等.基于Zienkiewcz-Pande准则的隧道/巷道围岩弹塑性分析[J].现代隧道技术,2015,52(2):30-35.
[2]谷拴成,樊琦,刘伟.矩形巷道两帮塑性区宽度计算方法研究[J].矿业研究与开发,2015,35(1):60-63.
[3]BRADY B H G,BROWN E T.Rock mechanics for underground mining[M].Australia:Allen&Unwin,1985:121-129.
[4]张强,王红英,王水林,等.基于统一强度理论的破裂围岩劣化塑性分析[J].煤炭学报,2010,25(3):381-386.
[5]张小波,赵光明,孟祥瑞.基于岩石非线性统一强度准则的非均匀应力场中圆形巷道围岩塑性区分析[J].安全与环境学报,2013,3:202-206.
[6]张小波,赵光明,孟祥瑞.基于Drucker-Prager屈服准则的圆形巷道围岩弹塑性分析[J].煤炭学报,2013,38(S1):30-37.
[7]CHENG L,JIA Y,OUESLATI A,et al.Plastic limit state of the hollow sphere model with non-associated Drucker-Prager material under isotropic loading[J].Comput.Mater.Sci.,2012,62:210-215.
[8]施高萍,祝江鸿,李保海,等.矩形巷道围岩应力的弹性分析[J].岩土力学,2014,35(9):2 587-2 593.
[9]SUZUKI T,SHINO K,OTSUBO H,et al.Biomechanical comparison between the rectangular-tunnel and the round-tunnel anterior cruciate ligament reconstruction procedures with a bone patellar tendon bone graft[J].Arthroscopy,2014,30(10):1294-302.
[10]于永军,梁卫国,张百强,等.近水平煤层矩形巷道锚固参数确定及数值实验[J].辽宁工程技术大学学报(自然科学版),2014,33(7):917-922.
[11]高红,郑颖人,冯夏庭.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.
[12]张俊文,刘志军.基于三剪能量理论的巷道围岩弹塑性分析[J].煤炭学报,2013,38(S1):38-42.
[13]胡小荣.基于三剪统一强度准则的隧道围岩抗力系数计算[J].南昌大学学报(工科版),2011,33(4):355-359.
[14]池秀文.基于Drucker-Prager系列准则的矩形巷道塑性区宽度计算方法[J].矿业研究与开发,2016,36(2):52-56.
[15]高玮.倾斜煤柱稳定性的弹塑性分析[J].力学与实践,2001,23(2):23-26.
[16]吴立新,王金庄.煤柱屈服区宽度计算及其影响因素分析[J].煤炭学报,1995(6):625-631.
[17]张瀚,李英明,任方涛,等.基于Zienkiewcz-Pande准则的隧道/巷道围岩弹塑性分析[J].现代隧道技术,2015,52(2):30-35.