摘要
为了获得非均匀荷载作用下圆形水平冻结壁与围岩的应力-位移场分布规律,考虑冻结壁与围岩相互作用及开挖卸荷作用,建立了符合实际施工情况的水平冻结壁弹性力学模型。利用复变函数方法,推导出弹性冻结壁与围岩的应力和位移解析解;讨论了基于Tresca和Mises准则的冻结壁厚度设计方法。结果表明:弹性模量比(β)、冻结壁外内径比(ξ)和侧压力系数(λ)对冻结壁与围岩的应力和位移变化影响显著;冻结壁内外缘环向应力差及45°方向最大剪应力与β正相关;β与ξ交互影响冻结壁应力和位移,β越大,ξ影响越显著,ξ>2.4后,β、ξ影响均不显著;0.4<λ<2.4时,冻结壁处于完全受压状态;β越大,围岩作用越弱,冻结壁厚度设计越大,Mises准则条件下冻结壁设计厚度比Tresca准则下小。
For the purpose of obtaining the law of stress-displacement distribution in circular horizontal frozen wall un-der non-uniformly distributed load,a mechanical model,conformed to the practical construction situation,was estab-lished,considering the interaction between frozen wall and surrounding rock,and the influence of unloading during ex-cavation. Its elastic analytical expressions of stress and displacement were deduced by complex function method. Thethickness design of frozen wall based on Tresca and Mises yield criterion were discussed. The results show that the rati-o of elasticity modulus between frozen wall and surrounding rock（β）,the diameter ratio of frozen wall（ξ）,and lateralpressure coefficient（λ） have remarkable effects on stress and displacement in frozen wall and surrounding rock. Thegreater theβ,the greater the pressure difference between the inner and outer surface of frozen wall,the higher the max-imum shearing stress in 45 degrees.βandξhave reciprocal effect on the stress and displacement of frozen wall,the in-fluence ofξbecomes greater with the growth ofβ,afterξ〉2. 4,the influence ofβandξdecrease;while 0. 4〈λ〈2. 4,frozen wall and surrounding rock are all in compression state. The greater theβ,the bigger the thickness of frozen wall,and the thickness deduced by using Mises yield criterion is thinner than Tresca result.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
2016年第5期1069-1077,共9页
Journal of China Coal Society
关键词
水平冻结壁
相互作用
非均匀荷载
卸载模型
复变函数
弹性设计
horizontal frozen wall
interaction
non-uniformly distributed load
unloading model
complex function method
elastic design
