两向不等压圆形巷道弹塑性摄动解  

PERTURBATION SOLUTIONS FOR ELASTO-PLASTIC PROBLEMS OF CIRCULAR TUNNEL UNDER UNEQUAL COMPRESSION

作　　者：侯公羽[1] 李晶晶[1] 赵伟伟 刘颖[1] 陈智超[1] 田乐[1] 

机构地区：[1]中国矿业大学力学与建筑工程学院,北京100083 [2]中冶集团武汉勘察研究院有限公司,湖北武汉430080

出　　处：《岩石力学与工程学报》2014年第A02期3639-3647,共9页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金委员会与神华集团有限责任公司联合资助重点项目(U1261212;U1361210);中央高校基本科研业务费资助项目(2012KL02)

摘　　要：对两向不等压条件下轴对称圆巷的弹塑性问题进行摄动求解,给出弹性区域考虑二阶微量的应力分布和弹塑性交界线的摄动解析表达式,并应用该理论对工程实例进行计算分析。结果表明:两向不等压条件下轴对称圆巷的弹塑性交界线近似于椭圆;弹性区的切向应力和径向应力r有相等的情况,且径向应力的稳定值大于原岩应力(侧压力系数>1);弹性区应力和塑性区域的大小对的变化敏感。将摄动解的非线性拟合结果与已有的Д.А.加林解进行对比,结果显示两者具有高度的一致性。The perturbation solution of axisymmetric round well under unequal compression in two directions was studied. The elastic stress distribution considering the second order infinitesimal and analytic dynamics of elasto-plastic boundary line was raised,and the perturbation solution through engineering example was analyzed. Results show that elasto-plastic boundary line is similar to ellipse,tangential stress and radial stress r are equal in certain angles,and the stabilized value of r is greater than in-situ stress（λ〉1）. Research results are analyzed through the example of project,and compared with Д. А. Galindo solution to prove the reliability of the perturbation method,which are remarkably consistent.

关 键 词：岩石力学 弹塑性解 摄动理论 两向不等压 弹塑性交界线 Д.А.加林解 

分 类 号：TU45[建筑科学—岩土工程]