渗压作用下非贯通节理岩体损伤变量计算方法
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摘要
为了研究渗压环境下节理引起的岩体损伤变量,首先基于损伤力学损伤应变能释放率与断裂力学附加应变能增量相关联的原理,推导了渗压环境下节理岩体损伤变量计算公式;其次,根据断裂力学理论推导了渗压作用下非贯通节理尖端Ⅰ、Ⅱ型应力强度因子计算方法,进而建立了渗压作用下非贯通节理岩体损伤变量的计算方法。最后对该计算公式进行了验证分析,渗压环境下损伤变量随节理半长的增大逐渐增大;随渗透水压的增大,损伤变量逐渐增大;随节理内摩擦角及节理面软化系数的增大,损伤变量逐渐减小。
To study the rock mass damage variable caused by joints under osmotic environment, the damage variable calculation formula of the rock mass caused by the osmotic environment is firstly deduced based on the connection of the increment of additional strain energy in fracture mechanics and the emission of damaged strain energy in damage mechanics. Secondly,according to the theory of fracture mechanics, the calculation methods of the stress intensity factor Ⅰ and Ⅱ under osmotic pressure are obtained for non-penetrating joints. Then, the calculation methods for the damage variables of non-persistent joints under osmotic pressure are established. Finally, the calculation formula is verified and analyzed. Under the condition of osmotic pressure, the damage variable gradually increases with the half-length of joints. With the increase of osmotic pressure, the damage variable of rock mass increases gradually. The damage variable decreases with the increase of internal friction angle and joint surface softening coefficient.
To study the rock mass damage variable caused by joints under osmotic environment, the damage variable calculation formula of the rock mass caused by the osmotic environment is firstly deduced based on the connection of the increment of additional strain energy in fracture mechanics and the emission of damaged strain energy in damage mechanics. Secondly,according to the theory of fracture mechanics, the calculation methods of the stress intensity factor Ⅰ and Ⅱ under osmotic pressure are obtained for non-penetrating joints. Then, the calculation methods for the damage variables of non-persistent joints under osmotic pressure are established. Finally, the calculation formula is verified and analyzed. Under the condition of osmotic pressure, the damage variable gradually increases with the half-length of joints. With the increase of osmotic pressure, the damage variable of rock mass increases gradually. The damage variable decreases with the increase of internal friction angle and joint surface softening coefficient.
引文
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[13]LIU Hong-yan,ZHANG Li-min.A damage constitutive model for rock mass with non-persistently closed joints under uniaxial compression[J].Arabian Journal for Science and Engineering,2015,40(1):3107-3117.
[14]李世愚,和泰名,尹祥础.岩石断裂力学导论[M].合肥:中国科学技术大学出版社,2010:89-98.
[15]楼志文.损伤力学基础[M].西安:西安交通大学出版社,1991:7-17.
[2]李天一,徐进,王璐,等.高孔隙水压力作用下岩体软弱结构面(带)力学特性的试验研究[J].岩石力学与工程学报,2012,31(2):3936-3941.
[3]唐世斌,张恒.基于最大周向拉应变断裂准则的岩石裂纹水力压裂研究[J].岩石力学与工程学报,2016,35(1):2710-2719.
[4]郑少河,姚海林,葛修润.渗透压力对裂隙岩体损伤破坏的研究[J].岩土力学,2002,23(6):687-690.
[5]郑少河,姚海林,葛修润.裂隙岩体渗流场与损伤场的耦合分析[J].岩石力学与工程学报,2004,23(9):1413-1418.
[6]赵延林,王卫军,黄永恒,等.裂隙岩体渗流-损伤-断裂耦合分析与工程应用[J].岩土工程学报,2010,32(1):24-32.
[7]赵延林,曹平,马文豪,等.岩体裂隙渗流-劈裂-损伤耦合模型及应用[J].中南大学学报(自然科学版),2017,48(3):794-803.
[8]赵延林,曹平,林杭,等.渗透压作用下压剪岩石裂纹流变断裂贯通机制及破坏准则探讨[J].岩土工程学报,2008,30(4):511-517.
[9]Kawamoto T,Ichikawa Y,Kyoya T.Deformation and fracturing behavior of discontinuous rock mass and damage mechanics theory[J].International Journal of Numerical Analysis Method in Geomechanics,1988,12(1):1-30.
[10]YUAN Xiao-ping,LIU Hong-yan,WANG Zhi-qiao.An interacting crack-mechanics based model for elastoplastic damage model of rock-like materials under compression[J].International Journal of Rock Mechanics&Mining Sciences,2013,58(9):92-102.
[11]SWOBODA G,SHEN XP,ROSAS L.Damage model for jointed rock mass and its application to tunneling[J].Computers and Geotechnics,1998,22(3/4):183.
[12]LI N,CHEN W,ZHANG P,et al.The mechanical properties and a fatigue-damage model for jointed rock mass subjected to dynamic cyclical loading[J].International Journal of Rock Mechanics&Mining Sciences,2001,38(7):1071-1079.
[13]LIU Hong-yan,ZHANG Li-min.A damage constitutive model for rock mass with non-persistently closed joints under uniaxial compression[J].Arabian Journal for Science and Engineering,2015,40(1):3107-3117.
[14]李世愚,和泰名,尹祥础.岩石断裂力学导论[M].合肥:中国科学技术大学出版社,2010:89-98.
[15]楼志文.损伤力学基础[M].西安:西安交通大学出版社,1991:7-17.