中文摘要：

通过极坐标系下的艾里应力函数法，求解出在集中力作用下水平岩层中各应力分量。山体对其下伏岩层可作为分布载荷，对集中力作用下水平岩层中各应力分量积分，便求得山体对下伏水平岩层的附加应力。已有研究成果表明，当由外载引起的附加应力小于由重力引起的静止侧压力的20％时，则可以不考虑外载的影响，这样便导出了地形对自重应力影响深度所满足的函数关系式。此外，本文举例说明了如何求得地形对水平均质各向同性水平岩层的自重应力场的影响深度。

英文摘要：

Author presents stress eomponent＇s expression under polar coordinate while a single force is applied to horizontal rock formation by means of Airy＇s stress function. Author regards topography＇ s effect on underlying horizon rock formation as distributed load, thus obtains expression of subsidiary stress induced by distributed load by integral action. According to present achievement, when subsidiary stress caused by distributed load is less than 20 percent of static lateral pressure induced by gravitation, distributed load＇s effect may be ignored. Therefore, the expression of topograpthy influence depth on self-weight stress field is obtained. Furthermore, the paper illustrates how to obtain topography influence depth on self-weight stress field of horizontal, homogeneous and isotropic strata.