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

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

doi:10.1002/nme.2273

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 journal › Article › peer-review

214 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 language	English
Pages (from-to)	577-599
Number of pages	23
Journal	International Journal for Numerical Methods in Engineering
Volume	75
Issue number	5
DOIs	https://doi.org/10.1002/nme.2273
Publication status	Published - 2008 Jul 30

Keywords

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

ASJC Scopus subject areas

Numerical Analysis
General Engineering
Applied Mathematics

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10.1002/nme.2273

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

Abstract

Keywords

ASJC Scopus subject areas

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