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中文摘要：
边坡的稳定性受地质、工程等众多因素影响，且其变形破坏机理复杂，危害巨大，因而边坡稳定问题分析研究一直是理论和实践研究的热点。引入突变理论对边坡的稳定性问题进行研究，利用突变数学和模糊数学结合引出的突变级数法，提出边坡稳定性评判指标——突变级数，从而建立了新的稳定性评判模型。基于突变级数法的边坡稳定性评判法，综合考虑了边坡各种要素对其稳定性的不同影响程度，真实地描绘了边坡系统的稳定状态。实例分析结果表明，该方法评判结果准确，精度较高，具有良好的实际应用价值。
英文摘要：
A slope has complex failure mechanism, and its stability factors. Therefore, more attentions are paid to study of slope stability is affected by many factors such as geological and engineering A catastrophe model basing on the catastrophe theory and fuzzy mathematics is used to analyze and evaluate the slope stability; and a new comprehensive evaluation index of slope stability is proposed： catastrophe progression. This index considers synthetically effect of many factors on slope stability and reflects actually state of slope system. The study results of engineering cases show that this comprehensive evaluation method of slope stability based on catastrophe progression method has higher accuracy and good application to slope stability analysis.
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