A new crack tip element for the phantom-node method with arbitrary cohesive cracks

Timon Rabczuk, Goangseup Zi, Axel Gerstenberger, Wolfgang A. Wall

Research output: Contribution to journalArticle

140 Citations (Scopus)

Abstract

We have developed a new crack tip element for the phantom-node method. In this method, a crack tip can be placed inside an element. Therefore, cracks can propagate almost independent of the finite element mesh. We developed two different formulations for the three-node triangular element and four-node quadrilateral element, respectively. Although this method is well suited for the one-point quadrature scheme, it can be used with other general quadrature schemes. We provide some numerical examples for some static and dynamic problems.

Original languageEnglish
Pages (from-to)577-599
Number of pages23
JournalInternational Journal for Numerical Methods in Engineering
Volume75
Issue number5
DOIs
Publication statusPublished - 2008 Jul 30

Fingerprint

Cohesive Crack
Crack Tip
Phantom
Crack tips
Cracks
Quadrature
Arbitrary
Vertex of a graph
Quadrilateral Element
Triangular Element
Dynamic Problem
Crack
Mesh
Finite Element
Numerical Examples
Formulation

Keywords

  • Cracks
  • Dynamic fracture
  • Hansbo and Hansbo's approach
  • Phantom-node method

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Applied Mathematics

Cite this

A new crack tip element for the phantom-node method with arbitrary cohesive cracks. / Rabczuk, Timon; Zi, Goangseup; Gerstenberger, Axel; Wall, Wolfgang A.

In: International Journal for Numerical Methods in Engineering, Vol. 75, No. 5, 30.07.2008, p. 577-599.

Research output: Contribution to journalArticle

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