Extended isogeometric analysis of plates with curved cracks

S. Sh Ghorashi, N. Valizadeh, S. Mohammadi, Timon Rabczuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Fracture analysis of an isotropic two-dimensional body with a curved crack using the extended isogeometric analysis (XIGA) is investigated. XIGA is a newly developed numerical approach which benefits from the advantages of the isogeometric analysis method and the extended finite element method [1, 2]. It has been successfully applied for analysis of cracked bodies where the straight crack remains straight in the parametric space. In this paper, XIGA is extended for fracture analysis of curved cracks by adopting specific mapping techniques. Sub-traingles and almost polar techniques alongside applying blending function method are employed for integration over elements intersected by the crack. The accuracy of the proposed approach is investigated for a plate with an arc-shaped central crack with different arc angles.

Original languageEnglish
Title of host publicationCivil-Comp Proceedings
Volume100
Publication statusPublished - 2012 Dec 1
Externally publishedYes
Event8th International Conference on Engineering Computational Technology, ECT 2012 - Dubrovnik, Croatia
Duration: 2012 Sep 42012 Sep 7

Other

Other8th International Conference on Engineering Computational Technology, ECT 2012
CountryCroatia
CityDubrovnik
Period12/9/412/9/7

Fingerprint

Cracks
Finite element method

Keywords

  • Curved crack
  • Enrichment functions
  • Extended isogeometric analysis
  • Linear elastic fracture mechanics
  • Mapping
  • Stress intensity factor

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Civil and Structural Engineering
  • Artificial Intelligence
  • Environmental Engineering

Cite this

Ghorashi, S. S., Valizadeh, N., Mohammadi, S., & Rabczuk, T. (2012). Extended isogeometric analysis of plates with curved cracks. In Civil-Comp Proceedings (Vol. 100)

Extended isogeometric analysis of plates with curved cracks. / Ghorashi, S. Sh; Valizadeh, N.; Mohammadi, S.; Rabczuk, Timon.

Civil-Comp Proceedings. Vol. 100 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ghorashi, SS, Valizadeh, N, Mohammadi, S & Rabczuk, T 2012, Extended isogeometric analysis of plates with curved cracks. in Civil-Comp Proceedings. vol. 100, 8th International Conference on Engineering Computational Technology, ECT 2012, Dubrovnik, Croatia, 12/9/4.
Ghorashi SS, Valizadeh N, Mohammadi S, Rabczuk T. Extended isogeometric analysis of plates with curved cracks. In Civil-Comp Proceedings. Vol. 100. 2012
Ghorashi, S. Sh ; Valizadeh, N. ; Mohammadi, S. ; Rabczuk, Timon. / Extended isogeometric analysis of plates with curved cracks. Civil-Comp Proceedings. Vol. 100 2012.
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