Element-free Galerkin method for deforming multiphase porous media

✍ Scribed by Hormoz Modaressi; Philippe Aubert

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 311 KB
• Volume: 42
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19980530)42:2<313::aid-nme369>3.0.co;2-g

✦ Synopsis

In the proposed element-free Galerkin method for deforming multiphase porous media, displacement of the porous-solid skeleton is modelled by standard finite elements while wetting and non-wetting fluid pore pressures are included as element-free nodes. The matrix formulation is derived from the variational formulation of the multiphase governing equations. The case of a domain with a material or field discontinuity is handled by using Lagrange multipliers. One-and two-dimensional applications are presented for which the results, compared with those obtained by either the closed-form solution standard finite-element approach or experimental tests, show the efficiency of the proposed technique. The necessity of taking air pore pressure into account for partially saturated soils is discussed: free surface capturing is analysed and the problem of its intersection with outer boundaries (so-called seepage surface) is studied.