弹脆塑性围岩应力和位移的广义SMP准则解  

PERFECT ELASTIC-BRITTLE-PLASTIC SOLUTION OF AXISYMMETRIC CIRCULAR OPENINGS IN ROCK MASS ON EXTENDED SMP CRITERION

作　　者：吴创周[1,2] 杨林德[1,2] 李秋实[2] 

机构地区：[1]同济大学岩土及地下工程教育部重点实验室,上海200092 [2]同济大学地下建筑与工程系,上海200092

出　　处：《工程力学》2013年第8期223-228,265,共7页Engineering Mechanics

基　　金：国家自然科学基金委员会;二滩水电开发有限责任公司雅砻江水电开发联合研究基金重点项目(50639090);国家自然科学基金委员会;隧道围岩稳定性三维精细化模拟方法与应用(41130751)

摘　　要：该文基于广义空间准滑动面SMP(Spatial Mobilized Plane)强度准则,对圆形隧洞围岩的应力和位移,得到了可考虑中间主应力和材料脆性软化影响旳弹塑性解和弹-脆-塑性解,给出了隧洞围岩的应力、位移、临界支护力与塑性区半径的表达式。通过将该文的弹塑性解与经典的圆形隧洞弹塑性解(卡斯特纳解)进行对比,验证了建立的公式的正确性,同时通过与基于Mohr-Coulomb强度准则的弹-脆-塑性解析解进行对比:论证了中间主应力和材料脆性软化对围岩稳定性的影响显著,考虑中间主应力的影响可以发挥围岩的强度潜能,能使围岩的强度和变形规律更接近工程实际,所得成果有重要参考价值。Based on the extended Spatial Mobilization Plane Criterion （SMP）, an elastic-brittle-plastic solution for an axisymmetric cylindrical tunnel was established, in which the influence of both intermediate principal compressive stress and material strain-softening behavior was considered, and the closed-form formulas of critical support force, the radius of a plastic zone, the distribution of stresses and displacements in surrounding rock were put forward. The elastic-plastic solution based on SMP was compared with Kastner solution, by which the rightness of the obtained elastic-plastic solution was verified. Also a comparative study between the elastic-brittle-plastic solution by obeying SMP and the current solution based on Mohr-Coulomb Criterion was made, including the examination of the influences of material strain-softening rate and intermediate principal stress. The results indicate that the rock strain-softening rate and the intermediate principal stress have a considerable effect on the stability analysis of surrounding rock, from which the strength potentials of rock mass can be used further, and it is also helpful for the design optimization of a tunnel support system.

关 键 词：弹塑性力学 SMP准则 弹脆塑性解 卡斯特纳解 深埋隧洞 高地应力 

分 类 号：TU452[建筑科学—岩土工程]