中文摘要：

假设岩体为连续、均质、各向同性的弹性体,承受自重应力和水平地应力联合作用,在对其进行椭圆形喇叭曲面开挖情况下,取椭圆形喇叭曲面边坡上一椭圆岩环作为力学模型,结合轴比论,推导出椭圆形深凹边坡环向应力表达式。借鉴巷道最稳定高宽轴比的确定方法,由莫尔–库仑强度理论,求解边坡安全系数。根据边坡微元体临界下滑条件,确定临界稳定性边坡角,从而得到此时的边坡形状。与传统的稳定性理论确定的边坡形状相比,该边坡形状可在保证边坡稳定的前提下减少巨大的废石剥离量。

英文摘要：

Taking the oval rock circle on the slope of an oval furrow pit for example, combining the axial ratio theory, the circle stress of the stable slope is derived for the oval deep furrow open pit under the conditions that the rock mass is continuous, homogeneous and elastic, and the rock mass is forced by the combination of weight stress and horizontal geostress. According to the determination method for getting the best axial ratio of roadway, the slope safety factor is derived with Mohr-Coulomb criterion. Based on the critical gliding conditions of micro-body in the slope, the critical stable slope angle is calculated. Therefore, the slope shape is determined. Compared with the slope shape determined by the traditional theory, this new shape can make a great reduction on the amount of peeling rock under the precise of guaranteeing the slope stability.