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Numerical modelling of saturated boundless media with infinite elements
Acta Geotechnica ( IF 5.6 ) Pub Date : 2021-02-19 , DOI: 10.1007/s11440-020-01139-9
Kemal Edip , Vlatko Sheshov , Wei Wu , Julijana Bojadjieva

Based on the elastic theory assumptions and averaging theories, an infinite element boundary which is frequency independent is derived for saturated soil media. The infinite element development is based on mapping functions and viscous layers for damping propagating waves of both solid and water phases. The newly developed infinite element is able to simulate the boundaries of fully saturated soil medium considering both soil displacement and fluid pressures. The main point is that the fluid pressure gradient at infinity is taken to equal to zero thus enabling the realistic consideration of the fluid pressures in numerical simulations. In numerical modelling, the general finite element software ANSYS using its User Programmable Features is used. Related comparisons are done with references. In simulation of propagating waves, the numerical approach is verified considering different models. The verification models include wave propagation through a saturated soil column. The implementation of the newly developed infinite element is done by simulation of an earth fill dam boundaries while the dam body is simulated as a three-phase medium. The obtained results from simulations show promising results and are thoroughly discussed.



中文翻译:

无限元饱和无限介质的数值模拟

基于弹性理论的假设和平均理论,得出了饱和土介质的频率独立的无限元边界。无限元素的开发基于映射函数和粘性层,用于衰减固相和水相的传播波。新开发的无限元能够在考虑土壤位移和流体压力的情况下模拟完全饱和的土壤介质的边界。要点是,无穷大处的流体压力梯度等于零,因此可以在数值模拟中实际考虑流体压力。在数值建模中,使用使用其用户可编程功能的通用有限元软件ANSYS。相关比较是通过参考进行的。在传播波的模拟中,考虑了不同模型,对数值方法进行了验证。验证模型包括通过饱和土柱的波传播。新开发的无限元的实现是通过模拟土坝边界而实现的,而将坝体模拟为三相介质。从模拟获得的结果显示出令人鼓舞的结果,并进行了充分讨论。

更新日期:2021-02-19
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