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Seismic Displacement Calculation Method of Slope with Considering Strain-softening Effect of Slip Surface

DOI：

 作者 单位 邮编 王家鑫 武汉理工大学 430070 夏元友* 武汉理工大学 430070 王智德 武汉理工大学

Newmark滑块位移法计算边坡震后位移，认为边坡屈服加速度为恒定值，未考虑滑面的应变软化效应与地震时程中边坡几何参数实时动态变化的影响。针对均质土坡，以拟静力极限平衡理论为基础，采用对数螺旋线滑面假设，考虑滑面应变软化效应及在地震时程中边坡实时下滑转角对边坡几何参数的影响，推导了考虑应变软化效应的边坡动态屈服加速度及震后位移计算表达式，并通过编程实现了边坡震后位移计算。结合算例分析表明：随着边坡下滑转角的增大，边坡动态屈服加速度呈先增大后减小的趋势；考虑应变软化效应计算的边坡震后位移大小介于使用土体峰值强度指标和残余强度指标计算的震后位移之间；随着边坡稳定性的提高，考虑应变软化效应与不考虑应变软化效应的震后位移计算结果皆随之减小，且两者差距会逐步减小。

The Newmark sliding block displacement method is used to calculate the seismic displacement of slope，and the yield acceleration of slope is considered to be a constant value，without considering the strain-softening effect of slip surface and the influence of the real-time dynamic change of slope geometric parameters during the seismic time history. For homogeneous soil slope，based on the pseudo-static limit equilibrium theory，used logarithmic spiral slip surface assumption，the strain-softening effect of slip surface and the effect of real-time sliding angle on slope geometric parameters during earthquake time history are considered，deduced the calculation expression of dynamic yield acceleration and seismic displacement with considering the effect of strain-softening，and the calculation of slope seismic displacement was realized by programming. The results show that the slope dynamic yield acceleration firstly increases and then decreases as the steady growing of slope sliding angle. Considering strain-softening effect，the calculated seismic displacement value of slope is bigger than peak strength calculation，but smaller than residual strength calculation. With the improvement of slope stability，the calculation results of seismic displacement with and without strain softening effect both decrease，and the gap between them decreases simultaneously.
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