We consider a stationary Stokes interface problem. In the discretization the interface is not aligned with the triangulation. For the discretization we use the P1 extended finite element space (P1-XFEM) for the pressure and the standard conforming P2 finite element space for the velocity. Since this pair is not necessarily LBB stable, a consistent stabilization term, known from the literature, ...

The present work deals with the effect of an external circumferential elliptical crack located at thickness transition on a varied stepped diameter pipe . The purpose is the application of the extended finite element method (XFEM) for the calculation of SIF at the thickness transition region of pipe considering internal pressure and compare the effect of the crack between pipes straight and wi...

This research presents a novel algorithm for robust topology optimization of continuous structures under material and loading uncertainties by combining an evolutionary structural (ESO) method with extended finite element (XFEM). Conventional approaches (e.g. ESO) often require additional post-processing to generate manufacturable smooth boundaries. By adopting the XFEM boundary representation ...

This paper presents the implementation of eXtended Finite Element Method (XFEM) in general-purpose commercial software package COMSOL Multiphysics for multi-field thermo-hydro-mechanical problems discontinuous porous media. To this end, an exclusive enrichment strategy is proposed compliance with modeling structure. modules and physics interfaces are adopted to take account relevant physical pr...

This study concentrates on FEA modelling of concrete beam strengthened with externally bondedCFRP lates under bending by using Traction Separation Law (TSL) as constitutive law to require maximum cohesive stress and fracture energy values. The models were developed following experimental work reported Al-Rousan et al. [23] Ding [22]. Combination two numerical techniques adopted, i.e., Extended ...

This paper presents mathematical derivation of enrichment functions in the extended finite element method (XFEM) for numerical modelling of strong and weak discontinuities. The proposed approach consists in combining the level set method with characteristic functions as well as domain decomposition and reproduction technique. We start with the simple case of a triangular linear element cut by o...

The present work investigates the effect of the elliptical three-dimensional (3D) cracks on a pipe with thickness transition, considering internal pressure. Level sets were defined using the extended finite element method (XFEM), the stress intensity factors (SIFs) of 3D cracks were investigated and compared between straight pipes and pipes with thickness transition. The results show that the X...