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

15 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

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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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