Title
Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis
Abstract
A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyze crack propagation in a structure under dynamic loading is presented in this paper. The arbitrary crack is treated by the X-FEM method without re-meshing but using an enrichment of the classical displacement-based finite element approximation in the framework of the partition of unity method. Several algorithms have been implemented, within an oriented object framework in C++, in the home made explicit FEM code. The new module, called DynaCrack, included in the dynamic FEM code DynELA, evaluates the crack geometry, the propagation of the crack and allow the post-processing of the numerical results. The module solves the system of discrete equations using an explicit integration scheme. Some numerical examples illustrating the main features and the computational efficiency of the DynaCrack module for dynamic crack propagation are presented in the last section of the paper.
Year
DOI
Venue
2008
10.1016/j.advengsoft.2007.06.003
Advances in Engineering Software
Keywords
Field
DocType
extended finite element method,dynamic energy release rate,crack propagation,dynamic loading,dynamic fem code,dynamic crack analysis,crack geometry,dynacrack module,dynamic crack propagation,partition of unity,arbitrary crack,numerical implementation,new module,numerical example,finite element programming,finite element,energy release rate
Partition of unity,Computer science,Extended finite element method,Finite element method,Theoretical computer science,Applied element method,Dynamic loading,Fracture mechanics,Mixed finite element method
Journal
Volume
Issue
ISSN
39
7
Advances in Engineering Software
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Ionel Nistor100.34
Olivier Pantalé231.08
Serge Caperaa300.34