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针对顺层边坡岩体结构的初始缺陷特性和非完善屈曲特征,应用初始后屈曲理论和突变理论探讨了缺陷结构的后屈曲性态,分别以载荷和位移的形式确定了边坡结构分岔点附近的邻域,建立了边坡结构溃屈破坏和剪切滑动的判据,并以雅砻江下游的霸王山边坡为例给出了工程实例。研究结果表明:位能增量泛函中表征结构初始缺陷的零阶余项与尖点突变模型中的剖分因子之间具有确定的关系;顺层边坡岩体结构在其分岔点处的载荷临界值是由其突变模型的分岔集确定的;只有考虑了岩体边坡的实际缺陷,才可得出其溃屈破坏和剪切滑动的极限值。
Aiming at the initial defect characteristics and imperfect buckling characteristics of the rock mass structure along the bedding slope, the post-buckling behavior of the defect structure is discussed by using the initial post-buckling theory and the catastrophe theory. The bifurcation of the slope structure In the neighborhood of the point, the criteria for the collapse and sliding of the slope structure are established. The engineering example is given by taking the Bawang slope in the lower Yalong River as an example. The results show that there is a definite relationship between the zero-order residuals of the initial defects of the characterization structure and the splitting factors in the cusp catastrophe model. The rock mass structure of bedding rock slope The critical value of the load is determined by the bifurcation set of the abrupt model. The limit of collapse and shear slip can be obtained only by considering the actual defects of the rock slope.