We propose an extrinsic, continuous-Galerkin (CG), extended finite element method (XFEM) that allows multiple Heaviside enrichments within a single in hierarchical manner. This approach enables complex, evolving XFEM surfaces 3D cannot be captured using existing CG-XFEM approaches. describe implementation of the for static elasticity with linearized strain modeling open cracks as salient step t...

In this work the influence of considering wheel-rail contact creepages on fatigue crack growth rates due to Rolling Contact Fatigue (RCF) is studied. For purpose, FASTSIM algorithm, which considers moving complex pressure distribution with slipping and adhesion zones patch, has been implemented in Abaqus using FORTRAN code subroutines. The developed methodology validated a 60E1 rail profile mod...

The aim of the study was to find the optimum combination of materials and thicknesses to provide a tough, damage resistant multi-layer system with numerical methods to restore the damaged teeth. Extended Finite Element Method (XFEM) was used to assess the critical loads for the onset of damage modes such as radial cracks and plastic deformation in dental prostheses, which consist of a brittle o...

TheG-function approach to premixed combustion problems is based on the flamelet concept. Thereby, the flame front is modeled as an embedded interface within the bulk. A level set function is used to describe the position of the flame front. To account for discontinuities in the velocity and the pressure fields across the interface, an eXtended Finite Element Method (XFEM) is applied. That is, t...

Abstract The efficient simulation of complex fracture processes is still a challenging task. In this contribution, an enriched phase-field method for the 2D presented. It has potential to drastically reduce computational cost compared classical (PFM). based on combination approach with ansatz transformation and enrichment technique displacement field as it used in extended finite element (XFEM)...

We present a new approach based on coupling the extended finite element method (XFEM) and level sets to study surface and interface effects on the mechanical behavior of nanostructures. The coupled XFEM-level set approach enables a continuum solution to nanomechanical boundary value problems in which discontinuities in both strain and displacement due to surfaces and interfaces are easily handl...

In the present research, a fully Automatic crack propagation as one of the most complicated issues in fracture mechanics is studied whether there is an inclusion or no inclusion in the structures. In this study The Extended Finite Element Method (XFEM) is utilized because of several drawbacks in standard finite element method in crack propagation modeling. Estimated Crack paths are obtained by ...

In this research, an efficient Galerkin Finite Volume Method (GFVM) along with the h–refinement adaptive process and post–processing error estimation analysis is presented for fracture analysis. The adaptive strategy is used to produce more accurate solution with the least computational cost. To investigate the accuracy and efficiency of the developed model, the GFVM is compared with two versio...