反倾等厚层状岩质边坡倾倒破坏折断深度计算

倾倒破坏是反倾层状岩质边坡一种主要的变形破坏模式。基于悬臂梁极限平衡理论研究反倾层状岩质边坡变形破坏是一种既注重变形过程又注重力学分析的可行方法。以地质分析为基础,基于梁板上、下层面间的正应力为三角形分布的假设,根据悬臂梁极限平衡分析模型,通过物理力学解析,开展反倾等厚层状岩质边坡倾倒破坏折断深度的研究,并推导出其计算公式。通过对一个工程实例的计算,得出其折断深度与实际现场调查的倾倒变形发育相近,并采用离散单元法(DEM)数值模拟手段进行了分析验证。实例计算表明,推导的公式能较准确地计算反倾等厚层状岩质边坡倾倒破坏折断深度。研究成果对反倾层状岩质边坡稳定性评价与防治具有一定的理论指导意义和应用价值。

Calculation method for fractured depth of toppling failure of equal thickness anti-dip stratified rock slopes

Toppling failure is one of the most common types of failure in anti-dip stratified rock slopes. The limit equilibrium method based on cantilever beam theory is feasible in the study of the anti-dip stratified rock slopes, which pays attention to deformation process and the mechanics analysis. Based on geological analysis, we present a hypothesis of triangle stress distribution on the top and bottom plane of the beam slab, then derive a formula for calculating the fractured depth in toppling failure of anti-dip stratified rock slopes on the basis of cantilever beam limit equilibrium model. According to a practical project, the calculated fractured depth is close to the result of field investigation, which is further verified by numerical simulation of Discrete Element Method (DEM). The research result has theoretical significance and application value to the stability evaluation and prevention of anti-dip stratified rock slopes.