FINITE STRAIN FINITE ELEMENT FORMULATION OF COUPLED SOLID-FLUID MIXTURE FOR DYNAMIC PROBLEMS
FINITE STRAIN FINITE ELEMENT FORMULATION OF COUPLED SOLID-FLUID MIXTURE FOR DYNAMIC PROBLEMS
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DOI：
10.21660/2018.51.86896
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发表时间：
2018-11
影响因子：
0.7
通讯作者：
B. Charatpangoon
中科院分区：
文献类型：
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作者：
B. Charatpangoon
摘要：目前，小应变有限元程序已广泛应用于岩土工程问题中。然而，这些编码的局限性是被认识到的，特别是当应变很大时。为了克服这些限制，需要针对多孔介质的有限应变有限元程序。因此，本研究旨在实现有限应变下的固液耦合有限元程序，用于静力和动力问题。首先，介绍了有限应变下多孔介质的控制方程。然后，通过推导关于参考坐标或当前坐标的控制方程，并将固体和流体视为分离的，给出了两相相对于参考坐标的混合公式。目前，该程序仅针对弹性状态进行了初步开发。在本研究中，所提出的规范已经通过静态和动态问题进行了验证。并将有限应变有限元程序的计算结果与解析解和小应变有限元程序的计算结果进行了比较。然后，利用所提出的规范对土坝在动力荷载作用下的反应进行了估算。最后，给出了小应变和有限应变有限元分析的结果、讨论和比较。
ABSTRACT: Currently, finite element codes for small–strain have been widely applied in geotechnical engineering problems. However, the limitations of these codes are recognized, especially when the strain is large. To overthrow such limitations, finite–strain finite element code for porous media is needed. Therefore, this study aims to implement the finite element code for coupled solid-fluid at finite strain for static and dynamic problems. Firstly, the governing equation for porous media at finite–strain was introduced. Then, the mixed formulation of both phases with respect to the reference coordinates by deriving the governing equations with respect to the reference or current coordinates and by considering the solid and fluid as separate, was given. At present, the code is developed only for elastic regime as its preliminary step. In this study, the proposed code has been verified with the static and dynamic problem. And, the result of the finite– strain finite element code is then compared with the result of the analytical solution and small–strain finite element code within the small–strain regime. Thereafter, the proposed code was used to estimate the response of the earthen dam when subjected to a dynamic load. Finally, the results, discussion, and comparison between small– and finite–strain finite element analyses were presented.