Orthogonal meshless finite volume method applied to crack problems

Reza Moosavi, F. Delfanian, A Khelil

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

An orthogonal meshless finite volume method has been presented to solve some crack problems. An orthogonal weighted basis function is used to construct shape function so there is not a problem of singularity in this new form. In this work, for three-dimensional fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. High computational efficiency and precision are other benefits of the method. Solving some sample crack problems of thin-walled structures show a good performance of this method.
Highlights

► An orthogonal meshless finite volume method has been presented to solve some crack problems. ► In this work, for three-dimensional fracture problems, a new displacement function is used at the tip of the crack to give a new OMFVM. ► When the new OMFVM is used, the singularity of the stresses at the tip of the crack can be shown better than that in the primal OMFVM. ► High computational efficiency and precision are other benefits of the method.

Original languageEnglish
Pages (from-to)61-65
Number of pages5
JournalThin-Walled Structures
Volume52
Early online date22 Dec 2011
DOIs
Publication statusPublished - Mar 2012
Externally publishedYes

Keywords

  • Meshless Method
  • Finite Volume Method
  • Orthogonal moving least square
  • Crack

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