This paper mainly discusses the dynamics of poroelastic media using the finite element analysis based on the u‐v‐p full formulation, where , , and p denote the solid displacement, relative fluid velocity with respect to solid velocity, and pore fluid pressure. It incorporates the effect of relative fluid acceleration with respect to solid acceleration on soil dynamic response. The ‐‐p formulation is first verified through the comparison with the analytical solution. After that, the response of one‐dimensional saturated soil column and two‐dimensional partially saturated soil layer subjected to vertical loading with different combinations of soil permeability and loading frequency are investigated using the analyses with the ‐‐p and ‐p formulations, based on which the effect of relative pore fluid motion is discussed and the differences in the soil response between two kinds of analysis approaches are examined. Results reveal that the rapid fluid flow has a pronounced effect on soil dynamics and the soil with a greater degree of saturation is more sensitive to the increase of loading frequency and soil permeability. The soil dynamic response can basically be divided into two main categories that represent insignificant and significant flow motion depending on loading frequency and soil permeability. Furthermore, despite vertical loading, horizontal soil response can also be affected by the large relative pore fluid flow when loading frequency and soil permeability are large. In addition, the simplified formulation can still be applicable to predict dynamics of poroelastic media in cases with high loading frequency and low soil permeability.

中文翻译：

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考虑相对流体加速度的多孔弹性介质动力学耦合有限元分析


本文主要讨论基于 u-v-p 完整公式的有限元分析的多孔弹性介质动力学，其中 、 和 p 表示固体位移、相对于固体速度的相对流体速度和孔隙流体压力。它结合了相对于固体加速度的相对流体加速度对土壤动力响应的影响。首先通过与解析解的比较来验证‐‐p 公式。之后，使用 ‐p 和 ‐p 公式进行分析，研究了在不同土壤渗透率和加载频率组合下，一维饱和土柱和二维部分饱和土层在垂直荷载作用下的响应，基于其中讨论了相对孔隙流体运动的影响，并检查了两种分析方法之间土壤响应的差异。结果表明，快速流体流动对土体动力学影响显着，饱和度越大的土体对加载频率和土体渗透率的增加越敏感。土壤动力响应基本上可以分为两大类，根据加载频率和土壤渗透性，分别代表不显着和显着的流动运动。此外，尽管有垂直加载，当加载频率和土壤渗透率较大时，水平土壤响应也会受到较大的相对孔隙流体流动的影响。此外，简化的公式仍然适用于预测高加载频率和低土壤渗透率情况下的多孔弹性介质的动力学。