Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy

Giannakeas, Ilias N.; Papathanasiou, Theodosios K.; Soleiman Fallah, Arash; Bahai, Hamid

doi:10.1007/s00466-020-01872-8

Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-20267

Publication type:	Article in scientific journal
Type of review:	Peer review (publication)
Title:	Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy
Authors:	Giannakeas, Ilias N. Papathanasiou, Theodosios K. Soleiman Fallah, Arash Bahai, Hamid
et. al:	No
DOI:	10.1007/s00466-020-01872-8 10.21256/zhaw-20267
Published in:	Computational Mechanics
Volume(Issue):	66
Issue:	3
Page(s):	683
Pages to:	705
Issue Date:	4-Jul-2020
Publisher / Ed. Institution:	Springer
ISSN:	1432-0924 0178-7675
Language:	English
Subjects:	XFEM peridynamic coupling; Bond-based peridynamics; Extended finite element method; Dynamic crack branching; Adaptive coupling; Brittle fracture
Subject (DDC):	530: Physics
Abstract:	An adaptive relocation strategy for a coupled XFEM–Peridynamic (PD) model is introduced. The motivation is to enhance the efficiency of the coupled model and demonstrate its applicability to complex brittle fracture problems. The XFEM and PD approximation domains can be redefined during the simulation, to ensure that the computationally expensive PD model is applied only where needed. To this end a two-step expansion/contraction process, allowing the PD patch to adaptively change its shape, size and location, following the propagation of the crack, is employed. No a priori knowledge of the crack path or re-meshing is required, and the methodology can automatically switch between PD and XFEM. Three 2D fracture examples are presented to highlight the performance of the methodology and the ability to follow multiple crack tips. Results indicate significant computational savings. Furthermore, the characteristic length scale of PD theory bestows a nonlocal and multiscale component to the methodology.
URI:	https://digitalcollection.zhaw.ch/handle/11475/20267
Fulltext version:	Published version
License (according to publishing contract):	CC BY 4.0: Attribution 4.0 International
Departement:	School of Engineering
Organisational Unit:	Institute of Computational Physics (ICP)
Appears in collections:	Publikationen School of Engineering

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Giannakeas, I. N., Papathanasiou, T. K., Soleiman Fallah, A., & Bahai, H. (2020). Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy. Computational Mechanics, 66(3), 683–705. https://doi.org/10.1007/s00466-020-01872-8

Giannakeas, I.N. et al. (2020) ‘Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy’, Computational Mechanics, 66(3), pp. 683–705. Available at: https://doi.org/10.1007/s00466-020-01872-8.

I. N. Giannakeas, T. K. Papathanasiou, A. Soleiman Fallah, and H. Bahai, “Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy,” Computational Mechanics, vol. 66, no. 3, pp. 683–705, Jul. 2020, doi: 10.1007/s00466-020-01872-8.

GIANNAKEAS, Ilias N., Theodosios K. PAPATHANASIOU, Arash SOLEIMAN FALLAH und Hamid BAHAI, 2020. Coupling XFEM and peridynamics for brittle fracture simulation—part II : adaptive relocation strategy. Computational Mechanics. 4 Juli 2020. Bd. 66, Nr. 3, S. 683–705. DOI 10.1007/s00466-020-01872-8

Giannakeas, Ilias N., Theodosios K. Papathanasiou, Arash Soleiman Fallah, and Hamid Bahai. 2020. “Coupling XFEM and Peridynamics for Brittle Fracture Simulation—Part II : Adaptive Relocation Strategy.” Computational Mechanics 66 (3): 683–705. https://doi.org/10.1007/s00466-020-01872-8.

Giannakeas, Ilias N., et al. “Coupling XFEM and Peridynamics for Brittle Fracture Simulation—Part II : Adaptive Relocation Strategy.” Computational Mechanics, vol. 66, no. 3, July 2020, pp. 683–705, https://doi.org/10.1007/s00466-020-01872-8.