为了理顺采场端部底板岩体主应力场中3个主应力的力学逻辑关系,同时研究采场端部底板破坏深度,通过力学分析,确定了采场端部底板岩体主应力的具体形式,并以此为基础导出采场端部底板破坏深度的计算公式。研究结果表明,主应力场在极坐标下是关于极径r与极角θ的函数,且3个主应力与采场底板岩体的泊松比μ有关,当采场底板岩体的泊松比μ与采场端部底板岩体中的单元体在极坐标下的极角θ满足不同数值关系时,3个主应力是有所不同的,与之对应的采场端部底板破坏深度计算公式也必然不同。

in order to understand the three main stress mechanics logic relationship in the main stress field of the floor strata at the face end, the floor failure depth of the face end floor was studied.With the mechanics analysis, the certain mode of the main stress in the face end floor strata was determined.Based on the circumstan ce, the calculation formula of the failure depth at the face end floor was derived.The study results showed that the main stress field under the polar coordinates would b e the polar diameter r and polar angle θ function and the three main stresses would be related to the Poisson ratio μ of the face end floor strata.When the Poisson ratio μ of the face floor strata and the element unit under the polar angle θ of polar coordinates in the face end floor strata could meet the different numerical relationship, th e three main stresses would be different and the calculation formula of the failure depth at the face end floor would be absolutely different.

国家自然科学基金资助项目(51074004)；