Cao Rial, María TeresaMoreno Gonzalez, Carlos AntonioQuintela-Estévez, Peregrina2024-11-262024-11-262016Cao-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.2015.12.012http://hdl.handle.net/2183/40320This 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/[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.engCC-BY-NC-ND 4.0 licensehttp://creativecommons.org/licenses/by-nc-nd/3.0/es/XFEMLevel setsBarycentric coordinatesQuadratureInterfaceEnrichmentElement partitioningjournal articleopen access10.1016/j.finel.2015.12.012