List of Journal Publications
2017
1.
Aragón, Alejandro M., Simone, A.
The Discontinuity-Enriched Finite Element Method Journal Article
In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 112, no. 11, pp. 1589–1613, 2017.
Abstract | BibTeX | Tags: cohesive cracks, fracture mechanics, GFEM, IGFEM, strong discontinuities, XFEM | Links:
@article{Aragon2017,
title = {The Discontinuity-Enriched Finite Element Method},
author = {Alejandro M. Aragón and A. Simone},
doi = {10.1002/nme.5570},
year = {2017},
date = {2017-01-01},
journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING},
volume = {112},
number = {11},
pages = {1589–1613},
publisher = {John Wiley and Sons Ltd},
abstract = {We introduce a new methodology for modeling problems with both weak and strong discontinuities independently of the finite element discretization. At variance with the eXtended/Generalized Finite Element Method (X/GFEM), the new method, named the Discontinuity-Enriched Finite Element Method (DE-FEM), adds enriched degrees of freedom only to nodes created at the intersection between a discontinuity and edges of elements in the mesh. Although general, the method is demonstrated in the context of fracture mechanics, and its versatility is illustrated with a set of traction-free and cohesive crack examples. We show that DE-FEM recovers the same rate of convergence as the standard FEM with matching meshes, and we also compare the new approach to X/GFEM.},
keywords = {cohesive cracks, fracture mechanics, GFEM, IGFEM, strong discontinuities, XFEM},
pubstate = {published},
tppubtype = {article}
}
We introduce a new methodology for modeling problems with both weak and strong discontinuities independently of the finite element discretization. At variance with the eXtended/Generalized Finite Element Method (X/GFEM), the new method, named the Discontinuity-Enriched Finite Element Method (DE-FEM), adds enriched degrees of freedom only to nodes created at the intersection between a discontinuity and edges of elements in the mesh. Although general, the method is demonstrated in the context of fracture mechanics, and its versatility is illustrated with a set of traction-free and cohesive crack examples. We show that DE-FEM recovers the same rate of convergence as the standard FEM with matching meshes, and we also compare the new approach to X/GFEM.
