Performances of the Partition of Unity Finite Element Method for the analysis of two-dimensional interior sound fields with absorbing materials

2013 ◽  
Vol 332 (8) ◽  
pp. 1918-1929 ◽  
Author(s):  
J.-D. Chazot ◽  
B. Nennig ◽  
E. Perrey-Debain
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partition Of Unity ◽  
Two Dimensional ◽  
Sound Fields ◽  
Absorbing Materials ◽  
Element Method

Application of Extended Finite Element Method (XFEM) to Stress Intensity Factor Calculations

2015 ◽  
Author(s):  
Do-Jun Shim ◽  
Mohammed Uddin ◽  
Sureshkumar Kalyanam ◽  
Frederick Brust ◽  
Bruce Young
Keyword(s):  
Finite Element Method ◽  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Degrees Of Freedom ◽  
Extended Finite Element Method ◽  
Partition Of Unity ◽  
Extended Finite Element ◽  
Element Method

The extended finite element method (XFEM) is an extension of the conventional finite element method based on the concept of partition of unity. In this method, the presence of a crack is ensured by the special enriched functions in conjunction with additional degrees of freedom. This approach also removes the requirement for explicitly defining the crack front or specifying the virtual crack extension direction when evaluating the contour integral. In this paper, stress intensity factors (SIF) for various crack types in plates and pipes were calculated using the XFEM embedded in ABAQUS. These results were compared against handbook solutions, results from conventional finite element method, and results obtained from finite element alternating method (FEAM). Based on these results, applicability of the ABAQUS XFEM to stress intensity factor calculations was investigated. Discussions are provided on the advantages and limitations of the XFEM.

The Partition of Unity Finite Element Method for the simulation of waves in air and poroelastic media

2014 ◽  
Vol 135 (2) ◽  
pp. 724-733 ◽  
Author(s):  
Jean-Daniel Chazot ◽  
Emmanuel Perrey-Debain ◽  
Benoit Nennig
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partition Of Unity ◽  
Poroelastic Media ◽  
Element Method
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