运用Drucker-Prager准则的深埋圆形硐室弹塑性分析

Elastic and Plastic Analysis on the Circular Roadway Based on the Drucker-Prager Criterion

基于Drucker—Prager准则，考虑了中间主应力对煤岩塑性屈服的影响，得出了深埋圆形硐室围岩的弹塑性解．与修正的Fenner方程作比较，分析得出了在考虑了中间主应力的情况下，圆形硐室的塑性圈半径变大，而且内摩擦角在20°～45°以及粘结力较大时，两者的塑性圈半径相差并不大，但粘结力较小时两者相差较大，且相差趋势越来越明显．推导结果对现场巷道的支护设计具有参考作用．

Considering the effect on the plastic flow of rock and coal of the intermediate principal stress, the elastic and plastic solution on the deeply buried circular roadway is obtained and compared with the amending Fenner＇s Equation based on the Drueker- Prager criterion. Considering the affect of the intermediate principal stress, it is concluded that the radius of plastic loosening zone of the circular roadway becomes large. Furthermore, it is concluded that both the plastic circle radius difference is not significant when the internal friction angle is 20° -45° and the bonding strength is higher, but it is significant when the bonding strength is lower and the difference trends are becoming evident. The conclusion provides reference for the support design in field roadway.