Modeling mechanical behavior of geomaterials by the extended finite-element method

Senjun Wu (1) , Dashnor Hoxha (1) , Naïma Belayachi (2) , Do Duc Phi (1)

1 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
2 Pôle F2ME

This paper aims at modeling of linear behavior of heterogeneous materials by a numerical homogenization method based on the Extended Finite Element Method (XFEM) [1]. One of major obstacles in using direct numerical methods for estimation of effective properties of heterogeneous materials resides in difficulties to construct the mesh conform to complexity of their structures which needs an expensive time and calls for considerable calculating resources. In turn, using of XFEM needs only a regular mesh and some mathematical resources for structure description and is expected to match the accuracy of the classical FEM approach. During this work, a MATLAB-based XFEM code is developed and used. Some case tested are studied and compared to assess the performance of the method.

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Senjun Wu, Dashnor Hoxha, Naïma Belayachi, Do Duc Phi. Modeling mechanical behavior of geomaterials by the extended finite-element method. The Fifth International Conference on Multiscale Materials Modeling, Oct 2010, Freiburg, Germany. ⟨hal-00684156⟩