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 journalArticle

13 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 languageEnglish
Pages (from-to)425-431
Number of pages7
JournalComputational Materials Science
Volume96
Issue numberPB
DOIs
Publication statusPublished - 2015

Fingerprint

Dynamic Fracture
Three-dimensional
cracks
Cracks
Crack
scale models
Extended Finite Element Method
Multiscale Methods
mesh
finite element method
continuums
Finite element method
Concurrent
Continuum
Mesh
Model-based
Energy
energy

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

Cite this

A three dimensional extended Arlequin method for dynamic fracture. / Silani, Mohammad; Talebi, Hossein; Ziaei-Rad, Saeed; Hamouda, Abdel Magid; Zi, Goangseup; Rabczuk, Timon.

In: Computational Materials Science, Vol. 96, No. PB, 2015, p. 425-431.

Research output: Contribution to journalArticle

Silani, M, Talebi, H, Ziaei-Rad, S, Hamouda, AM, Zi, G & Rabczuk, T 2015, 'A three dimensional extended Arlequin method for dynamic fracture', Computational Materials Science, vol. 96, no. PB, pp. 425-431. https://doi.org/10.1016/j.commatsci.2014.07.039
Silani, Mohammad ; Talebi, Hossein ; Ziaei-Rad, Saeed ; Hamouda, Abdel Magid ; Zi, Goangseup ; Rabczuk, Timon. / A three dimensional extended Arlequin method for dynamic fracture. In: Computational Materials Science. 2015 ; Vol. 96, No. PB. pp. 425-431.
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