A three dimensional extended Arlequin method for dynamic fracture

Mohammad Silani; Hossein Talebi; Saeed Ziaei-Rad; Abdel Magid Hamouda; Goangseup Zi; Timon Rabczuk

doi:10.1016/j.commatsci.2014.07.039

A three dimensional extended Arlequin method for dynamic fracture

Mohammad Silani, Hossein Talebi, Saeed Ziaei-Rad, Abdel Magid Hamouda, Goangseup Zi, Timon Rabczuk

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We propose a concurrent multiscale method for fracture coupling two three-dimensional continuum domains. Fracture in both domains is treated by the extended finite element method. The coupling is based on the Arlequin method which blends the energies of different scales in a so called "handshake domain". To our knowledge, it is the first time that a three dimensional extended Arlequin method for fracture is reported for dynamic applications. To show the suitability of the proposed method, two crack problems with a very fine region around the crack front are solved. The results show that the method is capable of effectively coupling the two regions while having the same accuracy of the full scale model based on a very fine mesh.

Original language	English
Pages (from-to)	425-431
Number of pages	7
Journal	Computational Materials Science
Volume	96
Issue number	PB
DOIs	https://doi.org/10.1016/j.commatsci.2014.07.039
Publication status	Published - 2015 Jan

Keywords

Arlequin method
Extended finite element method (XFEM)
Multiscale

ASJC Scopus subject areas

Computer Science(all)
Chemistry(all)
Materials Science(all)
Mechanics of Materials
Physics and Astronomy(all)
Computational Mathematics

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10.1016/j.commatsci.2014.07.039

Cite this

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title = "A three dimensional extended Arlequin method for dynamic fracture",

abstract = "We propose a concurrent multiscale method for fracture coupling two three-dimensional continuum domains. Fracture in both domains is treated by the extended finite element method. The coupling is based on the Arlequin method which blends the energies of different scales in a so called {"}handshake domain{"}. To our knowledge, it is the first time that a three dimensional extended Arlequin method for fracture is reported for dynamic applications. To show the suitability of the proposed method, two crack problems with a very fine region around the crack front are solved. The results show that the method is capable of effectively coupling the two regions while having the same accuracy of the full scale model based on a very fine mesh.",

keywords = "Arlequin method, Extended finite element method (XFEM), Multiscale",

author = "Mohammad Silani and Hossein Talebi and Saeed Ziaei-Rad and Hamouda, {Abdel Magid} and Goangseup Zi and Timon Rabczuk",

note = "Funding Information: The authors thank the support of the DFG , Qatar National Research Fund , Grant No. NPRP 09-145-2-061 and Humboldt Foundation . Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

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doi = "10.1016/j.commatsci.2014.07.039",

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T1 - A three dimensional extended Arlequin method for dynamic fracture

AU - Silani, Mohammad

AU - Talebi, Hossein

AU - Ziaei-Rad, Saeed

AU - Hamouda, Abdel Magid

AU - Zi, Goangseup

AU - Rabczuk, Timon

PY - 2015/1

Y1 - 2015/1

N2 - We propose a concurrent multiscale method for fracture coupling two three-dimensional continuum domains. Fracture in both domains is treated by the extended finite element method. The coupling is based on the Arlequin method which blends the energies of different scales in a so called "handshake domain". To our knowledge, it is the first time that a three dimensional extended Arlequin method for fracture is reported for dynamic applications. To show the suitability of the proposed method, two crack problems with a very fine region around the crack front are solved. The results show that the method is capable of effectively coupling the two regions while having the same accuracy of the full scale model based on a very fine mesh.

AB - We propose a concurrent multiscale method for fracture coupling two three-dimensional continuum domains. Fracture in both domains is treated by the extended finite element method. The coupling is based on the Arlequin method which blends the energies of different scales in a so called "handshake domain". To our knowledge, it is the first time that a three dimensional extended Arlequin method for fracture is reported for dynamic applications. To show the suitability of the proposed method, two crack problems with a very fine region around the crack front are solved. The results show that the method is capable of effectively coupling the two regions while having the same accuracy of the full scale model based on a very fine mesh.

KW - Arlequin method

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KW - Multiscale

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DO - 10.1016/j.commatsci.2014.07.039

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JO - Computational Materials Science

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A three dimensional extended Arlequin method for dynamic fracture

Abstract

Keywords

ASJC Scopus subject areas

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