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地震放大作用下裂缝边坡稳定性极限分析及影响规律研究

Amplification Effects of Seismic Acceleration on Stability of Slopes with Cracks Using Limit Analysis

  • 摘要: 大量试验数据和震后调查表明,地震加速度沿坡高具有显著放大效应并导致产生坡顶裂缝。为探究放大效应对边坡稳定性和坡顶裂缝的影响,基于极限分析上限法和拟静力法,建立考虑放大效应的裂缝边坡稳定性分析方法,得到地震放大作用对边坡稳定性和裂缝开展情况的影响规律。计算结果表明:裂缝边坡安全系数随地震放大系数增加而降低,陡坡和缓坡在考虑地震放大效应后安全系数均下降约10%,坡顶裂缝随地震放大系数增大逐渐远离坡肩,但裂缝深度会减小,其中当坡底地震加速度较大时放大效应对裂缝位置和深度影响显著。根据地震裂缝边坡安全系数的上限解c/γHtanφ与边坡参数F/tanφ值呈现幂函数的特征,通过拟合获得了安全系数计算表达式,可在实际工程中快速评估地震放大效应对裂缝边坡安全系数的影响。

     

    Abstract: Numerous experimental data and post-earthquake investigations have shown that the seismic acceleration is significantly amplified along the height of the slope and leads to the generation of cracks at the crest of slopes. To explore the impacts of seismic amplification on the development of crest cracks and the slope stability. Based on the upper-bound theory of limit analysis and pseudo-static method, the seismic stability of crack slope which considering the amplification effect was established, and the influence of the seismic amplification effect on slope stability and the development of cracks was obtained. The results show that the safety factor of the crack slope decreases with an increase in the seismic amplification factor and the safety factor for both steep slopes and gentle slopes decreased by about 10% after considering the seismic amplification effect, and that as the seismic amplification factor increases, the crack gradually moves away from the slope crest, while the depth of the crack decreases. The amplification effect on the position and depth of the crack is significant when the seismic acceleration at the bottom of the slope is large. According to the upper bound solution of seismic crack slope safety factor c/γHtanφ and the slope parameters F/tanφ present the characteristics of power function, a safety factor calculation expression is obtained by fitting, which can be used to quickly evaluate the impact of seismic amplification effect on the safety factor of crack slope in practical engineering.

     

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