CAJ | 학술논문

软弱夹层是一种广泛存在的地质构造，地下采矿工程中软弱夹层的存在往往给矿柱的设计及稳定性分析带来不利。针对软弱夹层的极限承载力，采用Prandtl塑性挤出破坏模式和极限分析上限法，同时考虑夹层面不同位置的剪应力条件，求得了平面应变条件及空间轴对称条件下软弱夹层极限压力的计算式。对计算数据的分析表明，软弱夹层的极限压力与夹层的宽高比及夹层面的摩擦系数之间具有一定的规律。总体而言，软弱夹层的极限压力随夹层的宽高比及夹层面摩擦系数的增加而增大，同时夹层面的摩擦条件对极限压力的影响也随宽高比的增加而更加显著，但摩擦系数增加至一定程度时其对各种宽高比尺度下极限压力的影响逐步减弱直至消失。此外，与夹层面采用单一摩擦条件的其他方法相比，夹层宽高比较小时所得到的解答与其他方法解答相差不大，夹层宽高比较大时解答结果高于其他方法，但在摩擦系数或粗糙程度极高的情况下几种方法的解答近似相等。推导得出的极限承载力计算式可以为下伏软弱夹层的矿柱设计及稳定性分析提供参考。
연약협층시일충엄범존재적지질구조，지하채광공정중연약협층적존재왕왕급광주적설계급은정성분석대래불리。침대연약협층적겁한승재력，채용Prandtl소성제출파배모식화겁한분석상한법，동시고필협층면불동위치적전응력조건，구득료평면응변조건급공간축대칭조건하연약협층겁한압력적계산식。대계산수거적분석표명，연약협층적겁한압력여협층적관고비급협층면적마찰계수지간구유일정적규률。총체이언，연약협층적겁한압력수협층적관고비급협층면마찰계수적증가이증대，동시협층면적마찰조건대겁한압력적영향야수관고비적증가이경가현저，단마찰계수증가지일정정도시기대각충관고비척도하겁한압력적영향축보감약직지소실。차외，여협층면채용단일마찰조건적기타방법상비，협층관고비교소시소득도적해답여기타방법해답상차불대，협층관고비교대시해답결과고우기타방법，단재마찰계수혹조조정도겁고적정황하궤충방법적해답근사상등。추도득출적겁한승재력계산식가이위하복연약협층적광주설계급은정성분석제공삼고。
Soft interlayer in rock and soil mass is a widespread geological structure. In underground mining engineering, the existence of soft interlayer will bring disadvantages to the design and stability analysis of pillar. In view of the ultimate bear-ing capacity of soft interlayer,based on Prandtl's plastic extrusion failure mode and upper bound limit analysis method,formu-lae of ultimate pressure of soft interlayer are deduced under plane strain condition and space axisymmetric condition,where dif-ferent shearing stress conditions of various locations on the surface of soft layer are also taken into account. Analysis of calculat-ed data shows that,the ultimate pressure of soft interlayer has a relationship with width-height ratio of soft interlayer and fric-tion factor on its surface. In general,the ultimate pressure of soft interlayer is enhanced both with the increase of its aspect ratio and friction factor on its surface,and the effectiveness of friction conditions on its surface is even more significant with the in-crease of aspect ratios. However,as the friction factor increased to a certain degree,its effect on ultimate pressure in various as-pect ratio scales will gradually diminish until it vanishes. Besides,comparison with other methods adopted single friction condi-tion on the surface of soft interlayer demonstrates that,the solution in the paper is almost the same with others with the smaller aspect ratio and is higher than others with a larger aspect ratio. Furthermore,as the friction factor and roughness on interlayer surface is extremely large,solutions of other methods including this text are identical approximately. The formula of ultimate bearing capacity could provide a reference to the design and stabilization analysis of a soft interlayer underlying pillars.