The recently developed extended finite element method (XFEM) is applied to compute the steady-state energy release rate of channeling cracks in thin films. The method is demonstrated to be able to model arbitrary singularities by using appropriate enriching functions at selected nodes with a relatively coarse mesh. The dimensionless driving force for channeling cracks is obtained as a function ...

In immiscible two-phase flows, jumps or kinks are present in the velocity and pressure fields across the interfaces of the two fluids. The extended finite element method (XFEM) is able to reproduce such discontinuities within elements. Robust and accurate interface capturing schemes with no restrictions on the interface topology are thereby enabled. This paper investigates different enrichment ...

We consider a standard model for mass transport across an evolving interface. The solution has to satisfy a jump condition across an evolving interface. We present and analyze a finite element discretization method for this mass transport problem. This method is based on a space-time approach in which a discontinuous Galerkin (DG) technique is combined with an extended finite element method (XF...

The present paper is concerned with modelling damage and fracture in notched woven fabric composites. Previous experimental work has shown that, under tensile loading, damage at a notch in a variety of GFRP and CFRP composites based on woven fabric reinforcement comprises matrix damage and fibre tow fracture along the plane of maximum stress. It is these experimental observations that inform th...

In this paper, the extended finite element method (XFEM) is first applied to account for weak discontinuity of axisymmetric electrostatic field. Firstly, interface between two materials in an described by level set method. The enrichment function used modify shape elements. Secondly, illustrate feature function, distribution diagrams functions sub-elements are drawn. 3D field can be simplified ...

Abstract Crack in polymer bonded explosive (PBX) components will influence the safety and reliability of weapon system. In order to accurately simulate quasi-static fracture behavior PBX components, arc Brazilian experiment was carried out first. Then, phase field method (PFM) traditional extended finite element (XFEM) are used for comparative simulation Brazil test process, which both maximum ...

There is a wide range of virtual reality (VR) applications that benefit from physically based modeling, such as assembly simulation, robotics, training and teaching (e.g., medical, military, sports) and entertainment. The dynamics of rigid bodies is well understood and several open source as well as commercial physics engines supporting articulated rigid bodies and particle systems are availabl...

Rapid development of engineering activities expands through a variety of rock engineering processes such as drilling, blasting, mining and mineral processing. These activities require rock dynamic fracture mechanics method to characterize the rock behavior. Dynamic fracture toughness is an important parameter for the analysis of engineering structures under dynamic loading. Several experimental...

In order to simulate and analyze the cracking process of asphalt concrete beam specimens under loading, elastic modulus, strength fracture energy were measured through direct tensile test three-point bending test. Then, Cohesive zone model (CZM) extended finite element method (XFEM) utilized crack propagation specimen numerical simulation results compared analyzed. The show that can be well sim...

• The variable-node multiscale extended finite element method (V-XFEM) is elaborated for the dynamic crack analysis of linearly uncoupled and coupled physical phenomena in a compact formula. numerical results elastic piezoelectric problems considered as illustrated examples show that V-XFEM has higher accuracy more efficiency than standard XFEM. For structures, normalized intensity factors have...