考虑相对流体加速度的孔弹性介质动力学耦合有限元分析

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-07-17 DOI:10.1002/nag.3809
Jiawei Xu, Ryosuke Uzuoka, Kyohei Ueda
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引用次数: 0

摘要

本文主要讨论了基于 u-v-p 全公式的有限元分析的孔弹性介质动力学,其中 , , 和 p 分别表示固体位移、相对于固体速度的相对流体速度和孔隙流体压力。它包含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对比验证了--p 公式。然后,使用--p 和--p 公式分析研究了一维饱和土柱和二维部分饱和土层在不同土壤渗透率和加载频率组合下的垂直加载响应,在此基础上讨论了孔隙流体相对运动的影响,并研究了两种分析方法在土壤响应上的差异。结果表明,快速流体流动对土壤动力学有明显影响,饱和度较高的土壤对加载频率和土壤渗透率的增加更为敏感。根据加载频率和土壤渗透性的不同,土壤动力响应基本上可分为两大类,分别代表不明显和明显的流动运动。此外,尽管存在垂直加载,但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相对孔隙流体流动的影响。此外,简化公式仍可用于预测高加载频率和低土壤渗透率情况下的孔弹性介质动力学。
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Coupled finite element analysis of the dynamics of poroelastic media considering the relative fluid acceleration

This paper mainly discusses the dynamics of poroelastic media using the finite element analysis based on the u-v-p full formulation, where u ${{\bm u}}$ , v ${{\bm v}}$ , 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 u ${ {\bm u}}$ - v ${ {\bm v}}$ -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 u ${ {\bm u}}$ - v ${ {\bm v}}$ -p and u ${ {\bm u}}$ -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.

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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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