Abstract The seismic performance of slopes is commonly evaluated by simplified sliding block analyses. In this paper, an extended sliding block model is developed to compute the earthquake-induced deformations at both shallow and deep failure planes of slopes. The coupled analytical model captures simultaneously the stick-stick, stick-slip and slip-slip behaviors of the lumped mass system of soil profile. The complex interactions between the dynamic response of the soil and the slip episodes at shallow and deep slide planes are revealed. The proposed sliding model is compared to the conventional single base-sliding analyses, and the influence of the presence of shallow failure sliding is emphasized. Then, the dynamic response and permanent displacement of slopes with different locations of the shallow sliding plane and different yield accelerations of shallow and deep sliding planes are examined. The comparisons are also performed for permanent displacements determined from the developed coupled multi-sliding procedure and from the seismic sliding model with multiple rigid blocks. Finally, an example is presented to demonstrate the procedure in the application and the differences of the results from the traditional coupled approach. The coupled model in this study provides a rigorous procedure to combine the shallow and deep failure modes for the assessment of the co-seismic landslide hazard.

中文翻译：

---

边坡浅、深破坏面地震诱发永久变形耦合分析

摘要 边坡的抗震性能评价通常采用简化的滑块分析法。在本文中，开发了一个扩展的滑块模型来计算斜坡浅层和深层破坏面的地震引起的变形。耦合分析模型同时捕获土壤剖面集总质量系统的粘滞、粘滑和滑移行为。揭示了土壤动力响应与浅层和深层滑动面的滑动事件之间复杂的相互作用。将所提出的滑动模型与传统的单一基础滑动分析进行比较，并强调了浅层失效滑动存在的影响。然后，研究了浅滑动面不同位置和浅、深滑动面不同屈服加速度下边坡的动力响应和永久位移。还对由开发的耦合多滑动程序和具有多个刚性块的地震滑动模型确定的永久位移进行了比较。最后，通过一个例子来说明应用程序中的过程以及与传统耦合方法的结果的差异。本研究中的耦合模型提供了一个严格的程序来结合浅层和深层破坏模式，以评估同震滑坡灾害。还对由开发的耦合多滑动程序和具有多个刚性块的地震滑动模型确定的永久位移进行了比较。最后，通过一个例子来说明应用程序中的过程以及与传统耦合方法的结果的差异。本研究中的耦合模型提供了一个严格的程序来结合浅层和深层破坏模式，以评估同震滑坡灾害。还对由开发的耦合多滑动程序和具有多个刚性块的地震滑动模型确定的永久位移进行了比较。最后，通过一个例子来说明应用程序中的过程以及与传统耦合方法的结果的差异。本研究中的耦合模型提供了一个严格的程序来结合浅层和深层破坏模式，以评估同震滑坡灾害。