岩石失稳破裂的综合刚度和综合能量准则
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摘要
Cook刚度准则考虑了试验机内弹性应变能释放对岩石试样失稳破裂的影响,基于弹性能指数和冲击能指数的剩余能量法考虑了岩石内贮存的弹性能对岩样失稳破裂的影响。鉴于岩样失稳破裂时试验机和岩石内都有弹性能释放,建议将两者结合,综合考虑试验机和岩石内贮存的弹性能释放对岩样失稳破裂的效应,称之为岩石失稳破裂的综合刚度和综合能量准则,可以更为合理地确定岩石失稳破裂起始点、终止点位置、给出岩石失稳破裂时试验机-岩样系统(或一般岩体系统)的弹性能释放量计算关系,并可以用几何形式表示这些关系。
In Cook rigidity criterion,it is taken into account that the release of the elastic strain energy in test machine will affect the burst of the rock sample.On the other hand,the residual energy method based on the elastic energy exponent and the impact energy exponent takes the influence into account that the elastic energy stored in the rock acts on the burst of the rock sample.In view of the fact that the test machine and the rock interior releases the elastic energy respectively with the burst of the rock sample,it is suggested that both sides be combined,i.e.the influence exerted on the burst of the rock sample through the elastic energy releasing between the test machine and the rock interior be considered comprehensively,it is so-called the comprehensive rigidity and comprehensive energy criterion of the burst of rock.This can determine the position of starting point and end point of the burst of rock more reasonably,give the calculation relationship of the elastic energy releasing amount of the test machine-rock sample system(i.e.the general rock body system) with the burst of rock,and can express these relationships through geometry form.
In Cook rigidity criterion,it is taken into account that the release of the elastic strain energy in test machine will affect the burst of the rock sample.On the other hand,the residual energy method based on the elastic energy exponent and the impact energy exponent takes the influence into account that the elastic energy stored in the rock acts on the burst of the rock sample.In view of the fact that the test machine and the rock interior releases the elastic energy respectively with the burst of the rock sample,it is suggested that both sides be combined,i.e.the influence exerted on the burst of the rock sample through the elastic energy releasing between the test machine and the rock interior be considered comprehensively,it is so-called the comprehensive rigidity and comprehensive energy criterion of the burst of rock.This can determine the position of starting point and end point of the burst of rock more reasonably,give the calculation relationship of the elastic energy releasing amount of the test machine-rock sample system(i.e.the general rock body system) with the burst of rock,and can express these relationships through geometry form.
引文
[1]COOK N G W.The failure of rock[J].International Journal of Rock Mechanics&Mining Sciences,1965,2(3):389-403.
[2]肖树芳,杨淑碧.岩体力学[M].北京:地震出版社,1987.
[3]陈顒.地壳岩石的力学性质[M].北京:地震出版社,1988.
[4]章梦涛.冲击地压失稳理论与数值模拟计算[J].岩石力学与工程学报,1987,6(3):197-204.ZHANG Meng-tao.Instability theory and mathematical model for coal/rock burst[J].Chinese Journal of Rock Mechanics and Engineering,1987,6(3):197-204.
[5]殷有泉,张宏.断层常内介质的软化特性和地震的非稳定模型[J].地震学报,1984,6(2):135-145.YIN You-quan,ZHANG Hong,The softening behavior of fault zone medium and an instability model of earthquakes[J].ACTA Eismologica Sinica,1984,6(2):135-145.
[6]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[7]潘岳,戚云松.受压构件失稳的折迭突变模型[J].岩土力学,2001,22(3):2751-2758.PAN Yue,QI Yun-song.The fold catastrophe model of constitutive failure in compression post[J].Rock and Soil Mechanics,2001,22(3):271-275,307.
[8]蔡美峰,王金安,王双红.玲珑金矿深部开采岩体能量分析与岩爆综合预测[J].岩石力学与工程学报,2001,20(1):38-42.CAI Mei-feng,WANG Jin-an,WANG Shuang-hong.Analysis on energy and prediction of rock burst during deep mining excavationin Linglong gold mine[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(1):38-42.
[9]KIDYBINSKI A.Bursting liability indices of coal[J].International Journal of Rock Mechanics and Mining Sciences&Geomechanicics Abstracts,1982,16(1):295-304.
[10]唐礼忠,潘长良,王文星.用于分析岩爆倾向性的剩余能量指数[J].中南工业大学学报,2002,33(2):129-132.TANG Li-zhong,PA Chang-liang,WANG Een-xing.Residual energy exponent of analysis for rock to burst[J].Journal of Centre-south Industry University,2002,33(2):129-132.
[11]TANG C A,XU X H.Sudden jump of deformation in unstable failure of rock[C]//Proc of the8#int.Congress on Rock Mechanic.Tocye:[s.n.],1995:197-199.
[12]CHANG K J,YANG T W.A constitutive model for the mechanical properties of rock[J].International Journal of Rock Mechanics and Mining Sciences&Geomechanicics Abstracts,1982,19(2):123-133.
[2]肖树芳,杨淑碧.岩体力学[M].北京:地震出版社,1987.
[3]陈顒.地壳岩石的力学性质[M].北京:地震出版社,1988.
[4]章梦涛.冲击地压失稳理论与数值模拟计算[J].岩石力学与工程学报,1987,6(3):197-204.ZHANG Meng-tao.Instability theory and mathematical model for coal/rock burst[J].Chinese Journal of Rock Mechanics and Engineering,1987,6(3):197-204.
[5]殷有泉,张宏.断层常内介质的软化特性和地震的非稳定模型[J].地震学报,1984,6(2):135-145.YIN You-quan,ZHANG Hong,The softening behavior of fault zone medium and an instability model of earthquakes[J].ACTA Eismologica Sinica,1984,6(2):135-145.
[6]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[7]潘岳,戚云松.受压构件失稳的折迭突变模型[J].岩土力学,2001,22(3):2751-2758.PAN Yue,QI Yun-song.The fold catastrophe model of constitutive failure in compression post[J].Rock and Soil Mechanics,2001,22(3):271-275,307.
[8]蔡美峰,王金安,王双红.玲珑金矿深部开采岩体能量分析与岩爆综合预测[J].岩石力学与工程学报,2001,20(1):38-42.CAI Mei-feng,WANG Jin-an,WANG Shuang-hong.Analysis on energy and prediction of rock burst during deep mining excavationin Linglong gold mine[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(1):38-42.
[9]KIDYBINSKI A.Bursting liability indices of coal[J].International Journal of Rock Mechanics and Mining Sciences&Geomechanicics Abstracts,1982,16(1):295-304.
[10]唐礼忠,潘长良,王文星.用于分析岩爆倾向性的剩余能量指数[J].中南工业大学学报,2002,33(2):129-132.TANG Li-zhong,PA Chang-liang,WANG Een-xing.Residual energy exponent of analysis for rock to burst[J].Journal of Centre-south Industry University,2002,33(2):129-132.
[11]TANG C A,XU X H.Sudden jump of deformation in unstable failure of rock[C]//Proc of the8#int.Congress on Rock Mechanic.Tocye:[s.n.],1995:197-199.
[12]CHANG K J,YANG T W.A constitutive model for the mechanical properties of rock[J].International Journal of Rock Mechanics and Mining Sciences&Geomechanicics Abstracts,1982,19(2):123-133.
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