scholarly journals Extended finite element method for three-dimensional crack modelling

2000 ◽  
Vol 48 (11) ◽  
pp. 1549-1570 ◽  
Author(s):  
N. Sukumar ◽  
N. Mo�s ◽  
B. Moran ◽  
T. Belytschko
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Three Dimensional ◽  
Extended Finite Element ◽  
Element Method

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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