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A new crack tip element for the phantom‐node method with arbitrary cohesive cracks
Author(s) -
Rabczuk Timon,
Zi Goangseup,
Gerstenberger Axel,
Wall Wolfgang A.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2273
Subject(s) - quadrilateral , quadrature (astronomy) , node (physics) , finite element method , imaging phantom , element (criminal law) , extended finite element method , point (geometry) , polygon mesh , structural engineering , mathematics , mathematical analysis , geometry , engineering , physics , electronic engineering , optics , political science , law
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. Copyright © 2007 John Wiley & Sons, Ltd.