A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis

Timon Rabczuk, Pedro Areias

Research output: Contribution to journalArticle

170 Citations (Scopus)

Abstract

This paper proposes a meshfree method for arbitrary evolving cracks in thin shells. The approach is an improvement of the method proposed by Rabczuk T., Areias P.M.A., Belytschko T. (A meshfree thin shell for large deformation, finite strain and arbitrary evolving cracks, International Journal for Numerical Methods in Engineering). In the above cited paper, a shell was developed based on an intrinsic basis of third order completeness. Third order completeness was necessary to remove membrane locking. This resulted in the use of very large domains of influence that made the method computationally expensive. If the crack was modelled by a set of cracked particles where the crack is introduced through the entire domain of influence, a very fine resolution was needed to capture the crack path. We will modify the method and use an extrinsic basis to increase the order of completeness of the approximation. The advantage is the saving in computational cost due to smaller domain of influences and coarser resolutions to capture the crack path. The method is applied to several crack problems and shows good agreement with experimental results.

Original languageEnglish
Pages (from-to)115-130
Number of pages16
JournalCMES - Computer Modeling in Engineering and Sciences
Volume16
Issue number2
Publication statusPublished - 2006 Dec 1
Externally publishedYes

Fingerprint

Meshfree
Thin Shells
Crack
Cracks
Arbitrary
Completeness
Meshfree Method
Finite Strain
Path
Locking
Large Deformation
Computational Cost
Numerical methods
Shell
Membrane
Numerical Methods
Entire
Engineering
Membranes
Necessary

Keywords

  • Cohesive models
  • Cracks
  • Extrinsic basis
  • KL constraint
  • Meshfree methods
  • Shell

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Computational Mechanics

Cite this

A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis. / Rabczuk, Timon; Areias, Pedro.

In: CMES - Computer Modeling in Engineering and Sciences, Vol. 16, No. 2, 01.12.2006, p. 115-130.

Research output: Contribution to journalArticle

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