CAJ | 학술논문

倾倒破坏是陡倾层状岩体边坡一类主要的变形破坏形式，地震作用下岩质边坡块体倾倒破坏分析具有重要的工程指导意义。基于块体极限平衡，针对岩块长细比较大的情况，推导出了地震作用下岩质边坡倾倒破坏的一般解析解。对于简单的反倾边坡，给出了地震作用下倾倒破坏的显式解析解，并推导了岩块间法向力、破坏模式转变点和坡脚剩余下滑力计算公式。通过4个典型算例研究了地震作用对反倾边坡破坏模式、倾倒破坏时所允许的最大陡倾节理视倾角、破坏模式转变点和坡脚剩余下滑力的影响，为反倾边坡的抗震支护设计提供了理论基础。最后，根据地震影响系数与破坏模式转变点和坡脚剩余下滑力的定量关系对比分析了解析法与传递系数法，结果显示，当岩块长细比大于20时，解析法具有足够的计算精度。
경도파배시두경층상암체변파일류주요적변형파배형식，지진작용하암질변파괴체경도파배분석구유중요적공정지도의의。기우괴체겁한평형，침대암괴장세비교대적정황，추도출료지진작용하암질변파경도파배적일반해석해。대우간단적반경변파，급출료지진작용하경도파배적현식해석해，병추도료암괴간법향력、파배모식전변점화파각잉여하활력계산공식。통과4개전형산례연구료지진작용대반경변파파배모식、경도파배시소윤허적최대두경절리시경각、파배모식전변점화파각잉여하활력적영향，위반경변파적항진지호설계제공료이론기출。최후，근거지진영향계수여파배모식전변점화파각잉여하활력적정량관계대비분석료해석법여전체계수법，결과현시，당암괴장세비대우20시，해석법구유족구적계산정도。
Toppling failure is one typical type of deformation failure modes of steep layered rock slopes. Analysis of toppling failure of rock slopes due to seismic loads possesses an important guiding significance for engineering design. Based on the limit equilibrium, a general analytical solution of block toppling failure due to earthquakes is presented for the condition that block slenderness is relatively large. In terms of cases with simple geometry, explicit expressions are given. The calculation formulas of the normal force between block interfaces, failure mode transition point and toe residual sliding force are obtained. The influence of seismic loads on the failure mode of counter-tilt rock slope, maximum allowable inclinations of the line normal to dip when toppling failure occurs, failure mode transition point and toe residual sliding force are studied through four typical examples. Those provide a theoretical foundation for the seismic support design of counter-tilt rock slopes. Finally, the comparative analysis of the analytical method and the transfer coefficient method is done according to the quantitative relationship between seismic influence coefficient, failure mode transition point and toe residual sliding force. The results show that the analytical method achieves sufficient accuracy when block slenderness is more than 20.