SMP准则在计算煤柱极限强度中的应用  

Application of SMP failure criterion to computing limit strength of coal pillars

作　　者：朱建明[1,2] 彭新坡[2] 姚仰平[2] 徐金海[3] 

机构地区：[1]北方工业大学建筑学院,北京100041 [2]北京航空航天大学交通科学与工程学院,北京100191 [3]中国矿业大学矿业工程学院,江苏徐州221008

出　　处：《岩土力学》2010年第9期2987-2990,共4页Rock and Soil Mechanics

基　　金：国家自然科学基金项目(No.50479001)

摘　　要：基于黏性材料的SMP(spatially mobilized plane)破坏准则,分析了煤柱在三维应力状态下的应力问题,并推导了煤柱极限强度的计算公式。通过改变煤体的内摩擦角和凝聚力c,与Mohr-Coulomb准则下煤柱极限强度以及简化的A.H.Wilson公式得到的煤柱极限强度进行对比,结果表明,Mohr-Coulomb准则和A.H.Wilson公式由于忽略了煤柱中主应力的影响,其得到的极限强度计算公式低估了煤柱实际极限强度,说明基于黏性材料的SMP准则下的煤柱极限强度计算符合实际,对于分析煤柱的稳定性具有一定的现实指导意义。Based on the spatially mobilized plane（SMP） failure criterion of the coherent material,the stress problem for the coal pillar under the three-dimensional stress states was analyzed;and the formula of limit strength of the coal pillar was derived.Through changing the internal friction  and the cohesion c of the coal,compared with the limit strength of the coal pillar using the Mohr-Coulomb failure criterion and the simplified A.H.Wilson formula,it is shown that because of neglecting the influence of the intermediate principal stress in the Mohr-Coulomb failure criterion and A.H.Wilson formula of the limit strength of coal pillar underestimate the actual limit strength;and it also is shown that limit strength computing of the coal pillar based on the SMP failure criterion of the coherent material has certain practical significance.

关 键 词：SMP准则 三维应力 极限强度 煤柱 

分 类 号：TD322.4[矿业工程—矿井建设]