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Extended finite element modeling of deformable porous media with arbitrary interfaces
Khoei, A. R ; Sharif University of Technology
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- Type of Document: Article
- DOI: 10.1016/j.apm.2011.04.037
- Abstract:
- In this paper, an enriched finite element method is presented for numerical simulation of saturated porous media. The arbitrary discontinuities, such as material interfaces, are encountered via the extended finite element method (X-FEM) by enhancing the standard FEM displacements. The X-FEM technique is applied to the governing equations of porous media for the spatial discretization, followed by a generalized Newmark scheme used for the time domain discretization. In X-FEM, the material interfaces are represented independently of element boundaries and the process is accomplished by partitioning the domain with some triangular sub-elements whose Gauss points are used for integration of the domain of elements. Finally, several numerical examples are analyzed, including the dynamic analysis of the failure of lower San Fernando dam, to demonstrate the efficiency of the X-FEM technique in saturated porous soils
- Keywords:
- Arbitrary interface ; Earth dam ; Extended FEM ; Partition of unity ; Porous media ; Arbitrary interface ; Dams ; Dynamic analysis ; Finite element method ; Interfaces (materials) ; Numerical methods ; Porous materials ; Time domain analysis
- Source: Applied Mathematical Modelling ; Volume 35, Issue 11 , 2011 , Pages 5426-5441 ; 0307904X (ISSN)
- URL: http://www.sciencedirect.com/science/article/pii/S0307904X11002848