Coupling XFEM and peridynamics for brittle fracture simulation—part I: feasibility and effectiveness
File(s)XFEM-PD-Ilias-part I.pdf (2.79 MB)
Published version
Author(s)
Giannakeas, Ilias N
Papathanasiou, Theodosios K
Fallah, Arash S
Bahai, Hamid
Type
Journal Article
Abstract
A peridynamics (PD)–extended finite element method (XFEM) coupling strategy for brittle fracture simulation is presented. The proposed methodology combines a small PD patch, restricted near the crack tip area, with the XFEM that captures the crack body geometry outside the domain of the localised PD grid. The feasibility and effectiveness of the proposed method on a Mode I crack opening problem is examined. The study focuses on comparisons of the J integral values between the new coupling strategy, full PD grids and the commercial software Abaqus. It is demonstrated that the proposed approach outperforms full PD grids in terms of computational resources required to obtain a certain degree of accuracy. This finding promises significant computational savings when crack propagation problems are considered, as the efficiency of FEM and XFEM is combined with the inherent ability of PD to simulate fracture.
Date Issued
2020-04-18
Date Acceptance
2020-03-17
Citation
Computational Mechanics, 2020, 66, pp.103-122
ISSN
0178-7675
Publisher
Springer Science and Business Media LLC
Start Page
103
End Page
122
Journal / Book Title
Computational Mechanics
Volume
66
Copyright Statement
© The Author(s) 2020. This article is licensed under a Creative Commons
Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as
long as you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material
in this article are included in the article’s Creative Commons licence,
unless indicated otherwise in a credit line to the material. If material
is not included in the article’s Creative Commons licence and your
intended use is not permitted by statutory regulation or exceeds the
permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecomm
ons.org/licenses/by/4.0/.
Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as
long as you give appropriate credit to the original author(s) and the
source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material
in this article are included in the article’s Creative Commons licence,
unless indicated otherwise in a credit line to the material. If material
is not included in the article’s Creative Commons licence and your
intended use is not permitted by statutory regulation or exceeds the
permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecomm
ons.org/licenses/by/4.0/.
Identifier
https://link.springer.com/article/10.1007%2Fs00466-020-01843-z
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Interdisciplinary Applications
Mechanics
Mathematics
Bond-based peridynamics
Extended finite element method
Nonlocal J integral
XFEM-PD coupling
Crack propagation
DYNAMIC CRACK-PROPAGATION
MESHFREE METHOD
DISCRETIZED PERIDYNAMICS
ADAPTIVE REFINEMENT
FEM MESHES
MODEL
DISCONTINUITIES
HORIZON
GROWTH
GRIDS
Applied Mathematics
0905 Civil Engineering
0913 Mechanical Engineering
0915 Interdisciplinary Engineering
Publication Status
Published
Date Publish Online
2020-04-18