基于断裂力学的反倾岩质边坡倾倒破坏分析

Toppling Failure Analysis in Anti-dip Rock Slopes Based on Fracture Mechanics

结合反倾岩质边坡常用的悬臂梁弯曲极限平衡模型,考虑非贯通横向节理的工况,建立了含一组非贯通横向节理的反倾岩质边坡力学模型。分别基于材料力学和断裂力学的破坏准则,推导了等效层间力表达式,建立了相应的稳定性分析方法,并结合工程实例对其进行了验证。最后采用单因素法进行参数分析,探讨了横向节理连通率、岩层厚度和切坡角度对边坡稳定性的影响。结果表明:边坡的稳定性随横向节理连通率和切坡角度的增加而降低,岩层厚度的增加能提高边坡稳定性;岩层厚度和横向节理连通率越大,边坡的滑动比例系数越大。

Combining with the cantilever beam bending limit equilibrium model commonly used in the anti-dip rock slope and considering the influence of transverse crack,a cantilever beam model with a transverse crack is established.Based on the failure criteria of material mechanics and fracture mechanics,the equivalent interlayer force expression is derived,and the corresponding stability analysis method is established,which is verified by an engineering example.Finally,the single factor method is used for parameter analysis,and the influence of transverse joint connectivity,rock thickness and slope cutting angle on slope stability is analyzed.The results are as follows.The stability of slope decreases with the increase of transverse joint connectivity and cutting angle,and the increase of rock thickness can improve the stability of slope.The sliding proportion coefficient of slope increases with the rock thickness and transverse joint connectivity.