The Discontinuity-Enriched Finite Element Method

Title

The Discontinuity-Enriched Finite Element Method

 Author

Aragon, A.M. (TU Delft Computational Design and Mechanics) ORCID 0000-0003-2275-6207
Simone, A. (TU Delft Applied Mechanics) ORCID 0000-0001-9726-0068

 Date

2017

 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.


 Subject

Cohesive cracks
Fracture mechanics
GFEM
IGFEM
Strong discontinuities
XFEM

 To reference this document use:

http://resolver.tudelft.nl/uuid:83917cb0-d9f6-4e50-b3d4-1b97f8df6fe1

 DOI

https://doi.org/10.1002/nme.5570

 ISSN

0029-5981

 Source

International Journal for Numerical Methods in Engineering, 112 (11), 1589-1613

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2017 A.M. Aragon, A. Simone
Files
PDF Arag_n_et_al_2017_Interna ... eering.pdf 5.55 MB
Close viewer