scholarly journals Two-Dimensional Model Analysis for Extended Finite Element Method(XFEM) Verification of General Purpose Finite Element Analysis Program

Author(s):  
Young Hwan Lee ◽  
◽  
Donghwan Kim ◽  
Jaegyun Park
Author(s):  
Patrick D. Lea ◽  
Charbel Farhat ◽  
Kevin G. Wang

This work extends and generalizes a recently developed fluid-structure coupled computational framework to model and simulate fluid-induced failure and fracture. In particular, a novel surface representation approach is proposed to represent a fractured fluid-structure interface in the context of embedded boundary method. This approach is generic in the sense that it is applicable to many different computational fracture models and methods, including the element deletion (ED) technique and the extended finite element method (XFEM). Two three-dimensional model problems are presented to demonstrate the salient features of the computational framework, and to compare the performance of ED and XFEM in the context of fluid-induced failure and fracture.


2013 ◽  
Vol 353-356 ◽  
pp. 3186-3189
Author(s):  
Hui Hua Zhang ◽  
Dong Feng Zhou

Due to the incorporation of enrichment functions in the displacement approximation, the mesh in the extended finite element method (XFEM) can be independent of the internal discontinuities. In the present paper, crack-void interaction problems in viscoelastic materials are investigated with the XFEM. The effect of the distance between crack and void on crack opening displacement is mainly studied in time domain.


Author(s):  
Hong Xiao ◽  
Yan-rong Zhang ◽  
Qi-hang Li ◽  
Feng Jin ◽  
Mahantesh M Nadakatti

In this study, a novel method for analysing inter-layer defects in slab tracks was proposed, based on fatigue analysis and the extended finite element method. The inter-layer gap of China Railway Track System (CRTS) II slab tracks was analysed. First, a finite element model was established to analyse the stresses in mortar layer under train and temperature loading. Secondly, the results of the stress analysis of the mortar layer were assessed using a fatigue analysis software for calculating the fatigue life of the mortar layer and the areas that fail first. Finally, in an extended finite element analysis, an initial gap was applied over the area that fails first, as determined through the fatigue analysis of the mortar layer. The patterns of the gaps at the ends, in the central part of the edge, and at the corner of the inter-mortar layer were observed and compared. Results show that the new method, which combines fatigue analysis and the extended finite element method, can address the discontinuity problem of the inter-layer slab defects in ballastless tracks, enabling the development process to be simulated. The rate at which the area of gapping increases can be used to characterize the development of the inter-layer gap in slab tracks.


Author(s):  
Elena Benvenuti ◽  
Nicola Orlando

AbstractWe propose a formulation for tracking general crack paths in elastodamaging materials without mesh adaptivity and broadening of the damage band. The idea is to treat in a unified way both the damaging process and the development of displacement discontinuities by means of the regularized finite element method. With respect to previous authors’ contributions, a novel damage evolution law and an original crack tracking framework are proposed. We face the issue of mesh objectivity through several two-dimensional tests, obtaining smooth crack paths and reliable structural results.


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