During an earthquake, soil deposits are often subjected to complex stress/strain time histories that are quite different from the simplified ones used in laboratory tests for evaluation of the stress-strain-strength of these soils. To mimic the stress/strain time histories experienced at different depths of a mildly sloping soil deposit, a series of direct simple shear tests were conducted on Ottawa F65 sand specimens. The trends observed in these experiments were then used to estimate the lateral spreading of mildly sloping saturated deposits of the same sand subjected to various base motion time histories measured in the centrifuge tests conducted as part of an international research project (Liquefaction Experiment and Analysis Project, LEAP-2015 and LEAP-2017).

In each CDSS test, after imposing the initial stress state, the specimen was subjected to non-uniform stress waves that resembled the shear stress time histories likely to develop in the LEAP-2015 and LEAP-2017 centrifuge specimens. A total of 17 CDSS tests were performed on specimens with relative densities of approximately 66%. Initial vertical and shear stresses were imposed on each soil specimen to correspond to the state of stress in a mildly sloping soil layer at two depths of about 4 m and 3 m. A ramped sinusoidal shear stress wave similar to the ramped sinusoidal base motion used in the LEAP centrifuge experiments was employed. The test results displayed a consistent trend between the peak cyclic stress ratio and the permanent shear strain that developed in the soil. The effects of overburden stress on the magnitude of permanent deformations were observed. Smaller initial vertical stress resulted in a more dilative response and smaller permanent shear strain. The observed permanent shear strain vs. peak cyclic stress ratio curves were then used to predict the lateral spreading of mildly sloping deposits tested in the LEAP-2015 and LEAP-2017 centrifuge experiments. Reasonably close correlation between the predicted and measured displacements were obtained. The developed dataset, made publicly available on DesignSafe-CI, can be used for calibration, evaluation, and further development of constitutive models for liquefiable soils.

在地震期间，土壤沉积物经常经受复杂的应力/应变时间历史记录，这与实验室测试中用于评估这些土壤的应力-应变强度的简化过程完全不同。为了模拟在轻度倾斜土壤沉积物的不同深度处经历的应力/应变时间历史记录，对渥太华F65砂试样进行了一系列直接的简单剪切试验。然后，将这些实验中观察到的趋势用于估算在同一国际试验项目（液化实验和分析项目， LEAP-2015和LEAP-2017）。

在每个CDSS测试中，在施加初始应力状态后，使试样受到非均匀应力波的作用，类似于在LEAP-2015和LEAP-2017离心机试样中可能产生的切应力时间历史。在相对密度约为66％的标本上进行了总共17次CDSS测试。在每个土壤样本上施加初始垂直应力和剪切应力，以对应于在大约4 m和3 m的两个深度的轻度倾斜土壤层中的应力状态。使用类似于LEAP离心机实验中使用的倾斜正弦基本运动的倾斜正弦剪切应力波。测试结果显示出峰值循环应力比与土壤中产生的永久剪切应变之间的一致趋势。观察了上覆应力对永久变形量的影响。较小的初始垂直应力导致更大的膨胀响应和较小的永久剪切应变。然后，将观察到的永久剪切应变与峰值循环应力比曲线用于预测在LEAP-2015和LEAP-2017离心机实验中测试的轻度倾斜沉积物的横向扩散。获得了预测位移和测量位移之间的合理紧密相关性。在DesignSafe-CI上公开可用的已开发数据集可用于校准，评估和进一步开发可液化土壤的本构模型。然后使用峰值循环应力比曲线预测在LEAP-2015和LEAP-2017离心机实验中测试的轻度倾斜沉积物的横向扩散。获得了预测位移和测量位移之间的合理紧密相关性。在DesignSafe-CI上公开可用的已开发数据集可用于校准，评估和进一步开发可液化土壤的本构模型。然后使用峰值循环应力比曲线预测在LEAP-2015和LEAP-2017离心机实验中测试的轻度倾斜沉积物的横向扩散。获得了预测位移和测量位移之间的合理紧密相关性。在DesignSafe-CI上公开可用的已开发数据集可用于校准，评估和进一步开发可液化土壤的本构模型。