3D corrected XFEM approach and extension to finite deformation theory

authored by: Stefan Löhnert, D. S. Mueller-Hoeppe, Peter Wriggers
Abstract: In this paper, the modified or corrected extended finite element method originally presented in Fries (Int. J. Numer. Meth. Engng. 2008; 75:503-532) for the 2D case is extended to 3D including different remedies for the problem that the crack front enrichment functions are linearly dependent in the blending elements. In the context of this extension, we address a number of computational issues of the 3D XFEM, in particular possible quadrature rules for elements with discontinuities. Also, the influence of finite deformation theory for crack simulations in comparison to linear elastic fracture mechanics is investigated. A number of numerical examples demonstrate the behavior of the presented possibilities.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 86
Pages: 431-452
No. of pages: 22
ISSN: 0029-5981
Publication date: 28.10.2010
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/nme.3045 (Access: Unknown)
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