In this study, a multi-grid sampling multi-scale (MGSMS) method is proposed by coupling with finite element (FEM), extended (XFEM) and molecular dynamics (MD) methods. Crack studied comprehensively from microscopic initiations to macroscopic propagation MGSMS method. order establish the relationship between model, FEM used transmit displacement boundary conditions atomic model XFEM feedback cra...

Numerical simulations of cardiac blood pump systems are integral to the optimization device design, hydraulic performance and hemocompatibility. In wave membrane pumps, propulsion arises from propagation along an oscillating immersed membrane, which generates small pockets fluid that pushed towards outlet against adverse pressure gradient. We studied Fluid–Structure Interaction between flow via...

Accuracy and speed are two of the most important problems in the real-time Finite Element Method (FEM)-based simulations of surgical cutting [1][2]. While the latter can be gradually eased through GPU-based acceleration[3][4], the former hasn't been properly addressed even until recently. To enable realistic and accurate simulation, the cutting line should follow the exact movement of the user-...

The simulation of immiscible two-phase flows on Eulerian meshes requires the use of special techniques to guarantee a sharp definition of the evolving fluid interface. This work describes the combination of two distinct technologies with the goal of improving the accuracy of the target simulations. First of all, a spatial enrichment is employed to improve the approximation properties of the Eul...

The extended finite element method (XFEM) enables the representation of cracks in arbitrary locations of a mesh. We introduce here a variant of the XFEM rendering an optimally convergent scheme. Its distinguishing features are: a) the introduction of singular asymptotic crack tip fields with support on only a small region around the crack tip, the enrichment region, b) only one and two enrichme...

Achieving accurate numerical results of hydrodynamic loads based on the potential-flow theory is very challenging for structures with sharp edges, due to singular behavior local-flow velocities. In this paper, we introduce, perhaps first time in literature marine hydrodynamics, Extended Finite Element Method (XFEM) solve fluid–structure interaction problems involving edges structures. Compared ...

Abstract The fracturing process in geomaterials is studied to characterize a potential host rock for radioactive waste, such as the kaolinite-rich Opalinus Clay formation. Because of its sedimentary genesis, this can be considered transversely isotropic geomaterial. A semi-circular bending test here modeled based on eXtended Finite Element Method (XFEM), check formation and propagation cracks r...

Abstract: In the present study the software CrackComput , based on the Xfem and Xcrack libraries has been used for three problemsto experiment on the convergence properties of the method applied to elasto-statics crack problems, comparison of stress intensity factors to simplified analytical results and study of the Brazilian fracture test. All the problems are treated in two dimensions under p...