scholarly journals Erratum: Analysis of three-dimensional crack initiation and propagation using the extended finite element method, Pedro M. A. Areias and Ted Belytschko, (Int. J. Numer. Meth. Engng 2005;63:760-788)

2005 ◽  
Vol 63 (8) ◽  
pp. 1228-1228 ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Initiation ◽  
Extended Finite Element Method ◽  
Three Dimensional ◽  
Crack Initiation And Propagation ◽  
Extended Finite Element ◽  
Initiation And Propagation ◽  
Element Method

Study of Crack Initiation and Propagation in TBCs by Experiments and Extended Finite Element Method

2013 ◽  
Vol 331 ◽  
pp. 129-132 ◽  
Author(s):  
Jing Xin Su ◽  
Zhao Hui Ji ◽  
Zhi Yong Han ◽  
Hua Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Initiation ◽  
Thermal Cycling ◽  
Extended Finite Element Method ◽  
Interface Roughness ◽  
Crack Initiation And Propagation ◽  
Extended Finite Element ◽  
Initiation And Propagation ◽  
Element Method

CoNiCrAlY bond coat (BC) and top ceramic coating (TCC) was fabricated on the GH99 super alloy by high velocity oxyfuel spray (HVOF) and air plasma spray (APS), respectively. Thermal cycling treatment was applied to the thermal barrier coatings (TBCs). The cross-sectional images of crack initiation and propagation of TBCs after treatment were investigated by scanning electron micrograph (SEM), meanwhile crack initiation and propagation in TBCs were analyzed based upon ABAQUS software using extended finite element method (XFEM). The results show that, crack initiation and propagation can be easily traced via microscopy at the interface areas in TBCs; after thermal cycling treatments, the crack associated with the TCC/TGO interface morphology initiates at interface peak area and propagates along TCC/TGO interface with thermal cycles; the interface roughness affects the crack magnitude in length and width obviously, the rougher the morphology, the bigger the crack is; the XFEM is a novel and effective method to well predict the crack initiation and calculate the crack propagation, and simulation and experimental results fit well.

Damage Progress Simulation in Unidirectional Composites by Extended Finite Element Method (XFEM)

2010 ◽  
Vol 152-153 ◽  
pp. 73-76 ◽  
Author(s):  
Huai Wen Wang ◽  
Qing Hua Qin ◽  
Hong Wei Zhou ◽  
Hui Miao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Independent Solution ◽  
Single Fibre ◽  
Extended Finite Element ◽  
Damage Initiation ◽  
Initiation And Propagation ◽  
As Stress ◽  
Element Method

Damage initiation and propagation in unidirectional glass fibre reinforced epoxy matrix composites under tension load were simulated in this study. Cell models with either single fibre or multiple fibres were modelled by extended finite element method (XFEM). The damage progress in the cells was investigated and then the nominal stress-strain curves as well as stress distributions in the fibre and matrix were obtained. Results presented here indicate that the extended finite element method is an effective modelling technique to study the initiation and propagation of a crack along an arbitrary, mesh-independent, solution-dependent path.

XFEM with Smoothing Technique for Static Fracture Mechanics in Three-Dimension

2016 ◽  
Vol 13 (02) ◽  
pp. 1640004 ◽  
Author(s):  
Yong Jiang ◽  
Eric Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Singular Term ◽  
Three Dimensional ◽  
Crack Advance ◽  
Three Dimension ◽  
Smoothing Technique ◽  
Extended Finite Element ◽  
Element Method

In this work, the advantages of face-based smoothing technique and extended finite element method (XFEM) are combined to develop a face-based smoothed extended finite element method (FS-XFEM). By this new method, arbitrary crack geometry can be modeled and crack advance can be simulated without remeshing. At the same time, the integration of singular term over the volume around the crack front can be eliminated induced by the transformation of volume integration into area integration. Numerical examples are presented to test the accuracy and convergence rate of the FS-XFEM. From the results, it is clear that smoothing technique can improve the performance of XFEM for three-dimensional fracture problems.

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