A three-dimensional particle finite element model for simulating soil flow with elastoplasticity.

A three-dimensional particle finite element model for simulating soil flow with elastoplasticity.
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DOI:
10.1007/s11440-022-01618-1
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发表时间:
2022
期刊:
影响因子:
5.7
通讯作者:
--
中科院分区:
工程技术2区
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--
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泥石流、滑坡等地表过程都涉及到土壤流。由于土壤流动时材料结构和性质的极端变化,模拟这种大变形现象是一项非常具有挑战性的任务。大多数现有的模型需要实际系统的二维(2D)简化,然而实际系统是三维(3D)的。为了克服这个问题,我们开发了一种新的三维颗粒有限元法(PFEM)直接模拟复杂的土壤流在三维空间。我们的PFEM模型实现在一个全隐式的解决方案框架的基础上广义Hellinger-Reissner变分原理允许使用一个大的时间步长,而不影响数值稳定性。使用混合二次线性单元避免体积锁定问题并确保计算精度。我们的三维PFEM制定建模大变形土壤流动问题的正确性和鲁棒性证明了一系列的基准对分析或独立的数值解。我们的模型可以作为一个有效的工具,以支持灾难性的土质边坡破坏和随后的跳动行为的评估。
Soil flow is involved in many earth surface processes such as debris flows and landslides. It is a very challenging task to model this large deformational phenomenon because of the extreme change in material configurations and properties when soil flows. Most of the existing models require a two-dimensional (2D) simplification of actual systems, which are however three-dimensional (3D). To overcome this issue, we develop a novel 3D particle finite element method (PFEM) for direct simulation of complex soil flows in 3D space. Our PFEM model implemented in a fully implicit solution framework based on a generalised Hellinger–Reissner variational principle permits the use of a large time step without compromising the numerical stability. A mixed quadratic-linear element is used to avoid volumetric locking issues and ensure computational accuracy. The correctness and robustness of our 3D PFEM formulation for modelling large deformational soil flow problems are demonstrated by a series of benchmarks against analytical or independent numerical solutions. Our model can serve as an effective tool to support the assessment of catastrophic soil slope failures and subsequent runout behaviours.
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