An explicit dynamics extended finite element method. Part 1: Mass lumping for arbitrary enrichment functions

@inproceedings{Elguedj2009AnED,
  title={An explicit dynamics extended finite element method. Part 1: Mass lumping for arbitrary enrichment functions},
  author={Thomas Elguedj and Anthony Gravouil and Hubert Maigre},
  year={2009}
}
This paper presents a general mass lumping technique for explicit dynamics simulations using the eXtended Finite Element Method with arbitrary enrichment functions. The proposed mass lumping technique is a generalization of previously published results for cracks and holes. Time step estimates are studied for crack singular enrichment functions and for hole enrichment. In both cases, we show that the critical time step does not tend to zero and is of the same order as that of the same… CONTINUE READING
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