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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 failure criterion of spatially mobilized plane (SMP) of viscous materials, the stress of coal pillar in three-dimensional stress state is analyzed and the formula for calculating the ultimate strength of coal pillar is derived. By changing the internal friction angle and the cohesion c of coal, the ultimate strength of coal pillar under Mohr-Coulomb criterion and the ultimate strength of coal pillar obtained by simplified AHWilson formula are compared. The results show that the Mohr-Coulomb criterion and AHWilson formula Ignoring the influence of principal stress in coal pillar, the calculated formula of ultimate strength underestimates the actual ultimate strength of coal pillars, which shows that the calculation of ultimate strength of coal pillar under SMP criterion based on viscous material is in line with the actual conditions, Has a certain practical significance.