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中文摘要：
根据层状岩质边坡含软弱夹层失稳的特点，建立了边坡地质力学模型，应用非线性科学理论中的突变理论建立了完善的边坡失稳燕尾突变模型。研究得出内外环境参数的变化改变系统控制变量的取值。边坡势函数形式发生变化，边坡在演化过程中可能处于稳定状态，也可能处于失稳状态，其稳定性取决于边坡岩体的内在和外界因素。计算了边坡处于失稳状态下系统所释放出的能量。研究结果加深了对滑坡成因的认识，论证了应用突变理论研究边坡失稳现象的可行性。
英文摘要：
Slope geomechanical model was built according to the destabilization characteristics of a slope of soft sandwich rock. The catastrophe model of non-linear theory was used to improve the swallowtail catastrophe model. The results suggest that the controlling value of the system was influenced by internal and external environmental factors. A slope may remain stable or unstable during the evolution of the slope potential function. It was demonstrated that the stability depended on internal and external environmental factors. Released energy from the whole system status was calculated when the slope was unstable. The results help deepen the understanding of earth slide formation and suggest the feasibility of applying catastrophe theory to study slope destabilization.
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