A more flexible and effective analysis of porous media considering edge-based smoothed meshfree techniques

作者：Soares Delfim Jr^*; Grosseholz Georg; von Estorff Otto

来源：Computational Mechanics, 2014, 53(6): 1265-1277.

DOI：10.1007/s00466-013-0970-4

• Pore-mechanics
• Independent phase discretization
• Edge-based smoothed domains
• Radial point interpolation method
• T-schemes
• Time-domain analysis

In this work, smoothed meshfree methods are employed for the time-domain analysis of porous media. A weakened weak formulation based on the edges of triangular cells obtained by a Delaunay triangulation is considered here, framing the so-called edge-based smoothed domains. The meshfree shape functions are computed by the radial point interpolation method considering the T3 and T6 schemes for the shape function support domains. For the time discretization, the generalized Newmark method is adopted. The work is based on the u-p formulation where the unknown fields of the coupled analysis are the solid skeleton displacements and the interstitial fluid pore pressures. An independent spatial discretization is considered for each phase of the model, rendering a more flexible and effective methodology. At the end of the paper, numerical applications illustrate the accuracy and abilities of the proposed techniques.

• 出版日期2014-6