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采用带张力这断装置（tensioncutoff）的非线性库仑一物料模型（Coulornb－ma－terialmodel），对上、下盘内断裂防分段崩落法采深的增加而渐进发展的状态做了数值模拟。详细叙述了建模策略。研究了四个模型示例，包括高和中等原岩应力，强和弱的岩石，以及倾角为60°和70°的矿体。数值模拟表明：在地表的上盘区域一旦发生拉伸断裂，就会以张力不稳定方式随同来深增加而变强，从而在地表上出现新的拉伸断裂。上盘因塌人采场所造成的空区而发生最终破坏。下盘内也有拉伸裂缝发育，但其增长是稳定的。文中将数值模型获得的结果与印度和瑞典两座矿山的实测数值做了对比。
A non-linear Coulomb-material model with tension cutoff was used to numerically simulate the asymptotic development of the deeper and lower caving faults in the upper and lower casings. Described in detail the modeling strategy. Four model examples were studied, including high and medium rock stress, strong and weak rocks, and ore bodies with dip angles of 60 ° and 70 °. Numerical simulations show that once the tensile fracture occurs on the upper plate of the earth’s surface, it will become stronger with the increase of depth along with the unstability of tension, and new tensile fracture will appear on the earth’s surface. The last damage caused by the empty area caused by the collapse of the stope. Tensile cracks also develop within the lower plate, but their growth is stable. The numerical results obtained in this paper are compared with the measured values of two mines in India and Sweden.