A new methodology for element partition and integration procedures for XFEM

Use this link to cite
http://hdl.handle.net/2183/40320Collections
- Investigacion (ETSAC) [510]
Metadata
Show full item recordTitle
A new methodology for element partition and integration procedures for XFEMDate
2016Citation
Cao-Rial, M. T., Moreno, C., & Quintela, P. (2016). A new methodology for element partition and integration procedures for XFEM. Finite Elements in Analysis and Design, 113, 1–13. https://10.1016/j.finel.2015.12.012
Abstract
[Abstract] An overview of the particularities of the extended finite element method implementation in contrast with the classical FEM is presented. The most relevant difficulty lies in the integration over elements containing jumps or singularities, since a classical quadrature rule cannot be applied. We present an algorithm which, avoiding a casuistic analysis, automatically partitions an enriched element and constructs a new quadrature formula for those elements that preserves the integration order from the original one.
Keywords
XFEM
Level sets
Barycentric coordinates
Quadrature
Interface
Enrichment
Element partitioning
Level sets
Barycentric coordinates
Quadrature
Interface
Enrichment
Element partitioning
Description
This is an ACCEPTED VERSION of the following published document:
Cao-Rial, M.T., Moreno, C., & Quintela, P. (2016). A new methodology for element
partition and integration procedures for XFEM. Finite Elements in Analysis and
Design, 113, 1–13 https://doi.org/10.1016/j.finel.2015.12.012 © 2016 Elsevier.
This manuscript version is made available under the CC-BY-NC-ND 4.0 license
https://creativecommons.org/licenses/by-nc-nd/4.0/
Editor version
Rights
CC-BY-NC-ND 4.0 license