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Element free galerkin mesh-less method for fully coupled analysis of a consolidation process

Oliaei, M. N ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. Publisher: 2009
  3. Abstract:
  4. A formulation of the Element Free Galerkin (EFG), one of the mesh-less methods, is developed for solving coupled problems and its validity for application to soil-water problems is examined through numerical analysis. The numerical approach is constructed to solve, two governing partial differential equations of equilibrium and the. continuity of pore water, simultaneously. Spatial variables in a weak form, the displacement increment and excess pore, water pressure increment, are discretized using the same EFG shape functions. An incremental constrained Galerkin weak form is used to create the discrete system equations and a fully implicit scheme is used to create the discretization of the time domain. Implementation of essential boundary conditions is based on penalty method. Examples are studied and the obtained results are compared with closed-form or finite element method solutions to demonstrate the capability of the developed model. The results indicate that the EFG method is capable of handling coupled problems in saturated porous media and can predict well, both soil deformation and the variation of pore water pressure, over time. © Sharif University of Technology
  5. Keywords:
  6. Consolidation process ; EFG ; Mesh-less ; Penalty method ; Soil-water coupled problem ; Boundary conditions ; Differentiation (calculus) ; Finite element method ; Function evaluation ; Galerkin methods ; Numerical methods ; Porous materials ; Soils ; Time domain analysis ; Water ; Problem solving ; Consolidation ; Deformation ; Displacement ; Equilibrium ; Galerkin method ; Mathematical analysis ; Numerical model ; Phreatic zone ; Porewater ; Porous medium ; Soil water ; Spatial variation
  7. Source: Scientia Iranica ; Volume 16, Issue 1 A , 2009 , Pages 65-77 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_3179.html