层状边坡岩体的屈曲和溃屈性态研究

Buckling and buckling failure behavior of bedding slope rock mass

在对层状边坡岩体结构进行稳定性分析的过程中,屈曲和溃屈是两个主要问题。针对边坡岩体结构的赋存特点和分岔特性,以及研究方法仅采用线性理论和已有研究成果只停留在结构屈曲层面上的状况,文章应用初始后屈曲理论和突变理论探讨了岩体结构的屈曲性态和溃屈性态,给出了边坡岩体上部滑动段滑动的条件,得出了边坡岩体的分岔方程和溃屈方程,指出了分岔方程的适用条件和溃屈方程的适用范围,确定了边坡岩体后屈曲状态下溃屈破坏的下限,建立了岩体结构溃屈破坏的判据,并以雅砻江下游的霸王山边坡为例进行研究。结果表明:边坡岩体的赋存状况决定了其势函数的分岔集,从边坡的分岔集可衍生出结构在分岔状态下的分岔载荷和分岔方程;分岔方程表达了边坡岩体结构的屈曲状态,也表达了结构出现屈曲的准则;边坡岩体的赋存状况还决定了岩体结构溃屈破坏时岩体材料屈服的取值范围,而岩体结构溃屈破坏的上限或下限则取决于岩体材料的屈服极限。

The buckling and buckling failures are the two main problems in the process of stability analyses for bedding slope rock mass.In accordance with the occurrence characteristics and bifurcation properties of bedding slope rock mass and considering the situation that the research methods only use linear theory and the existing research results only stay at the level of structural buckling,this paper examines the buckling behavior and buckling failure behavior of bedding slope rock mass by using initial post-buckling theory and catastrophe theory,which gives the sliding conditions to an upper sliding section of bedding slope rock mass,derives its bifurcation equation and buckling failure equation,and points out the application conditions for the bifurcation equation and the application scope for the buckling failure equation.The lower limit of buckling failure in a state of post-buckling is determined,the criteria for buckling failure of bedding slope rock mass are built,and application with the example of the Bawang mountain slope located in the lower reaches of the Yalong River is presented.The results indicate that the occurrence situation for bedding slope rock mass determines its bifurcation set of potential function,the bifurcation load and bifurcation equation in a state of bifurcation can be derived from the bifurcation set for bedding slope rock mass.The solutions to the bifurcation equation describes the buckling state for bedding slope rock mass and also reflects the buckling criteria.The occurrence status for bedding slope rock mass also determines the scope of the material yield limit in a state of buckling failure,and either the upper or lower limit of buckling failure depends on the yield limit of rock mass material.