A polytree-based adaptive scheme for modeling linear fracture mechanics using a coupled XFEM–SBFEM approach

verfasst von
Hai D. Huynh, Xiaoying Zhuang, H. Nguyen-Xuan
Abstract

In this paper, an adaptive mesh refinement, namely polytree is presented to increase the resolution of polygonal meshes. Conforming to elements with hanging nodes from the process of generating polytree meshes by commonly using polygonal basic functions is inaccurate because their derivatives are singular in the vicinity of these nodes. Scaled boundary finite element method (SBFEM) is an excellent candidate to overcome such shortcomings. For crack simulations by using extended finite element method (XFEM), enrichment functions of discontinuous and asymptotic fields which get involved with high gradients are necessary to be solved by local mesh refinements. The idea of coupling XFEM with SBFEM is thus designed as an effective numerical technique to solve the negative effects of hanging nodes in adaptive mesh scheme and to raise the computational capability of XFEM in modeling crack problems over polygonal meshes. In addition, a modification of enriched nodes around the crack tip and a treatment of blending elements are introduced to improve the accuracy of XFEM analysis. Several numerical examples are examined to prove the computational efficiency of the present method for modeling crack problems in comparison with the uncoupled counterpart and previous published results.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Tongji University
Sejong University
Ho Chi Minh City University of Technology (HUTECH)
Typ
Artikel
Journal
Engineering Analysis with Boundary Elements
Band
115
Seiten
72-85
Anzahl der Seiten
14
ISSN
0955-7997
Publikationsdatum
14.04.2020
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Analysis, Ingenieurwesen (insg.), Computational Mathematics, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1016/j.enganabound.2019.11.001 (Zugang: Geschlossen)
 

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