An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

This paper presents a review of the extended finite element method X-FEM for
computational fracture mechanics. The work is dedicated to discussing the basic ideas and …

One of the first courses I taught at Stanford was Advanced Soil Mechanics. The course title
was accurate in the beginning, but the contents gradually became more and more about …

Geologic shear fractures such as faults and slip surfaces involve marked friction along the
discontinuities as they are subjected to significant confining pressures. This friction plays a …

Mechanical transmission components are generally under the risk of contact fatigue,
resulting in cracks initiated from the subsurface. When subject to compressive stress, these …

This paper presents the implementation of the eXtended Finite Element Method (XFEM) in
the general-purpose commercial software COMSOL Multiphysics for the first time. An …

We present a new phase-field formulation for the formation and propagation of a compaction
band in high-porosity rocks. Novel features of the proposed formulation include (a) the …

Field-scale modeling of hydraulic fracture development in formations containing pre-existing
fractures is a time-consuming task for XFEM-based numerical models. Because the costly …

Accurate prediction of strength in rocks with distinct bedding planes requires knowledge of
the bedding plane orientation relative to the load direction. Thermal softening adds …

In this paper, an extended finite element method is presented for simulation of interaction
between hydraulic fracturing and natural fractures in saturated porous media. The well …