摘要
根据等效岩体理论,并考虑闭合裂隙面摩擦效应,建立了含多组贯穿闭合裂隙岩体的数学模型,给出了岩体轴向应变、等效弹性模量与等效泊松比的表达式,系统地研究了岩块性质和裂隙参数对等效弹性模量与等效泊松比的影响。结果表明:岩块弹性模量对等效弹性模量与等效泊松比的影响随弹性模量增大而逐渐减弱,等效泊松比与岩块泊松比近似呈正比例关系;当裂隙角度小于50°时,裂隙几何参数对等效弹性模量影响较大,对等效泊松比影响较小,随着角度增大,影响逐渐减弱;岩体变形受裂隙组数影响较大,由于闭合裂隙面的摩擦效应及多组裂隙间的制约作用,含两组及三组裂隙时岩体变形较小,只含一组裂隙时岩体变形最大,无裂隙岩体变形几乎可以忽略。
According to the equivalent rock mass theory and considering the friction effect of closed fracture surface,a mathematical model of rock mass with multiple groups of penetrating closed fissures is established.The expressions of axial strain,equivalent elastic modulus and equivalent Poisson's ratio are given.And the effects of rock block properties and fracture parameters on equivalent elastic modulus and equivalent Poisson's ratio are studied systematically.It is found that the effects of elastic modulus on equivalent elastic modulus and equivalent Poisson's ratio decrease with the increase of elastic modulus,and the equivalent Poisson's ratio is approximately proportional to the Poisson's ratio of rock blocks.When the fracture angle is less than 50°,the crack geometric parameters have a great influence on the equivalent elastic modulus,but the influence of equivalent Poisson's ratio is small.The influence decreases with the increase of the angle.The deformation of rock mass is greatly affected by the number of fracture groups.Due to the friction effect of closed fracture surface and the restriction between several groups of cracks,the deformation of rock mass with two or three groups of cracks is smaller,the deformation of rock mass is the largest when there is only one group of cracks,and the deformation of non-fractured rock mass is almost negligible.
作者
赵桐德
高全臣
王纪伟
路景淦
张永康
霍风海
Zhao Tongde;Gao Quanchen;Wang Jiwei;Lu Jinggan;Zhang Yongkang;Huo Fenghai(School of Mechanics&Civil Engineering,China University of Mining&Technology(Beijing),100083,Beijing,China)
出处
《应用力学学报》
CAS
CSCD
北大核心
2021年第3期1119-1126,共8页
Chinese Journal of Applied Mechanics
基金
中央高校基本科研业务费专项资金(2010YL01)。
关键词
力学模型
闭合裂隙
变形特性
等效弹性模量
等效泊松比
rock mechanics
closed crack
deformation characteristic
equivalent elastic modulus
equivalent Poisson’s ratio
