中文摘要：

反倾向层状岩石边坡失稳问题一直是工程地质学和岩石力学领域亟待解决的问题之一。针对反倾层状岩石边坡的岩体结构特点,以弯曲拉裂（倾倒）变形的地质模型为基础,根据突变理论建立反倾层状岩石边坡尖点突变模型。从理论上分析了边坡失稳的突变条件,并提出临界失稳深度。在此基础上建立基于突变理论的稳定性评价方法。通过对工程实例的分析,表明对于反倾层状结构岩石边坡,该稳定性评价方法是成功有效的。

英文摘要：

　The stability of the counter-tilt stratified rock slope is one of the most urgent problems of geology and lithology in practical engineering.The catastrophic model with cusp point on the basis of catastrophic theory is established based on the rock mass structural characteristic of the counter-tilt stratified rock slope and the geological model of and the bending-tearing deformation.The conditions and mechanism of catastrophic stability failure are studied as well.The critical stability-loss depth is given by the model.The method of stability evaluation is established on the basis of catastrophic theory.Through engineering example analysis,the method of stability evaluation is effective and successful for the counter-tilt stratified rock slope.