FINITE ELEMENT METHOD FOR COUPLED DYNAMIC FLOW-DEFORMATION SIMULATION
FINITE ELEMENT METHOD FOR COUPLED DYNAMIC FLOW-DEFORMATION SIMULATION
复制标题
动态流动-变形耦合模拟的有限元法
DOI：
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发表时间：
2011
期刊：
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通讯作者：
J. V. Esch
中科院分区：
文献类型：
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作者：
J. V. Esch
本文比较了求解弹性介质中流动与变形耦合问题的固速-液速公式和固速-液压公式。这里提出的有限元公式适用于小的变形，但正在被扩展到大的变形在一个材料点的公式。由于质点模型采用的是低阶单元和时间正积分，因此需要对有限元模型进行相应的组合。本文的动态模拟侧重于捕获加载液相和固相的第一个压缩波，以及解析启动固结过程的第二个压缩波。虽然速度-速度公式可以正确地捕获包括第二波在内的两相动态行为，但速度-压力公式不能捕获第二压缩波。关于在物质点框架内的实现，第一种公式在处理固相和液相方面更加一致，为两相提供了基于物理的动量映射，因此是首选的。
This article compares a solid velocity liquid velocity formulation and a solid velocity liquid pressure formulation for solving the coupled flow and deformation problem in an elastic media. The finite element formulations presented here apply to small deformations, but are in the process of being extended to large deformations within a material point formulation. As the material point model uses low-order elements and forward integration in time, the finite element model has to be composed accordingly. Dynamic simulations presented in this paper focus on capturing the first compression wave, which loads the liquid phase and solid phase, and on resolving the second compression wave, which starts the consolidation process. Whereas the velocity velocity formulation properly captures two-phase dynamic behavior including the second wave, the velocity pressure formulation is not capable of capturing the second compression wave. With regards to implementation within a material point framework, the first formulation is more consistent in the treatment of the solid and liquid phases, providing a physically based mapping of momentum for both phases, and is preferred for this reason.