硬岩矿柱纵向劈裂失稳突变理论分析

来源期刊：中南大学学报(自然科学版)2006年第2期

论文作者：李江腾 曹平

文章页码：371 - 375

关键词：矿柱;硬岩;裂纹;突变理论;稳定性;临界载荷;纵向劈裂

Key words：pillar; hard rock mass; crack; catastrophe theory; stability; critical load; longitudinal Splitting

摘    要：应用断裂力学理论讨论硬岩矿柱初始裂纹在上覆岩层作用下贯通形成层状结构的机理,指出裂纹间相互作用引起裂纹的失稳扩展,从而相互连接形成层状结构。在此基础上,应用能量原理及突变理论推导矿柱失稳的临界载荷及临界应力,提出矿柱发生失稳的屈曲模型。研究结果表明:矿柱发生失稳与分裂岩层的屈曲破坏有关;而岩层的屈曲除与岩石的材料参数有关外,还与分裂后的厚度即裂纹的分布有关;算例计算值与实际经验值相一致,可为合理安排开采顺序、布置采场等提供依据。

Abstract: The mechanism of initial cracks propagation and integration was studied under the load of up rock mass in pillar of hard rock mass in terms of fracture mechanics theory. The unstable propagation of cracks was caused by the interaction between cracks, and then slabs were formed as a result of integrating of cracks. The critical load and critical stress were deduced by means of energy principle and catastrophe theory based on these conditions, and the buckling model of pillar was presented. The results show that the instability of pillar is related to buckling fracture of slabs, and buckling of slab is related to material parameters and thickness of slab i.e. distribution of cracks. The estimated results of the example correspond to one of practical experience, which provides a basis for mining order and arranging stope.