This paper improves a simplified soil hysteresis model for one-dimensional fully coupled effective stress analysis of site seismic response that addresses the limitations of existing hyperbolic soil models to simultaneously capture the hysteretic stress–strain behaviour and the accumulated volumetric strain of soil skeleton. In particular, emphasis is placed on coupling the pore-water pressure buildup and the soil-skeleton volumetric deformation based on the Biot's dynamic consolidation theory. A newly observed cyclic shear-volume coupling equation is included as the source term for residual pore-pressure accumulation, which represents the plastic volume change induced by cyclic shearing. The proposed framework is implemented into an explicit time matching finite difference platform with embedded Biot equations of consolidation, and validated against the cyclic shearing test on saturated sand in the laboratory. Overall, good agreement demonstrates the prediction reliability of shear wave propagation in saturated granular soils. Then, the paper highlights the potential of the proposed framework to simulate the seismic wave propagation in a liquefiable site, based on the recordings of the Port Island borehole array station site during the 1995 Kobe Earthquake. The results indicate that the basic features of the non-linear seismic response of liquefiable site can be well captured by the proposed framework.

中文翻译：

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饱和粒状土中剪切波传播的简化有效应力模型

本文针对现场地震响应的一维全耦合有效应力分析改进了简化的土壤滞后模型，解决了现有双曲线土壤模型的局限性，以同时捕获滞后应力-应变行为和土壤骨架的累积体积应变。特别是，重点是根据Biot的动态固结理论将孔隙水压力的建立与土壤骨架的体积变形耦合起来。包括一个新观察到的循环剪切-体积耦合方程作为残余孔隙压力累积的源项，它代表了循环剪切引起的塑性体积变化。拟议的框架被实现为带有嵌入式Biot固结方程的显式时间匹配有限差分平台，并通过了实验室在饱和砂土上的周期性剪切试验验证。总体而言，良好的一致性证明了剪切波在饱和粒状土壤中传播的预测可靠性。然后，根据1995年神户地震中Port Island钻孔阵列台站的记录，本文重点介绍了拟议框架在液化场中模拟地震波传播的潜力。结果表明，所提出的框架可以很好地捕捉液化场地非线性地震反应的基本特征。本文基于1995年神户地震中Port Island井眼阵列台站的记录，重点介绍了拟议框架在液化场中模拟地震波传播的潜力。结果表明，所提出的框架可以很好地捕捉液化场地非线性地震反应的基本特征。本文基于1995年神户地震中Port Island井眼阵列台站的记录，重点介绍了拟议框架在液化场中模拟地震波传播的潜力。结果表明，所提出的框架可以很好地捕捉液化场地非线性地震反应的基本特征。