条带设计弹性理论的复变函数模型

条带开采是解决当今日益严重的村庄建筑物压煤问题的主要措施之一，本文根据不同的地质情况，分析了条带煤柱在上覆岩层自重应力作用下，条带的受力形式及保持稳定性所需的条件，采用连续介质力学理论，探讨了条带开采时需留设的合理条带尺寸，以弹塑性力学为基础，使用弹性理论的复变函数方法计算了条带开采时空区周围的应力分布，进而推导出在特定的地质条件下，条带开采时所需留设的煤柱宽度的理论公式，该理论公式经实践证明能满足现场要求。

Complex variable function model of strip mining

Strip mining is one of the main measures to mine the coal that is buried under villages and buildings. According to the geological condition, the paper analyes the strength on pillars and the required factors of the pillars retaining stable under the stress of over strata. The proper size of coal pillars and mining width for partial mining are studied with theory of continuum mechanics. Based on elastoplastic theory, stress distributions is derived on pillars in strip mining by using the complex variable function and conformal mapping. Further, the author obtains the function for strip mining. Proved by projection, the formulation can meet require ments of practice.