Details
| Original language | English |
|---|---|
| Pages (from-to) | 431-452 |
| Number of pages | 22 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 86 |
| Issue number | 4-5 |
| Publication status | Published - 28 Oct 2010 |
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.
Keywords
- Blending elements, Cracks, Finite deformation, Numerical integration, XFEM
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 86, No. 4-5, 28.10.2010, p. 431-452.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - 3D corrected XFEM approach and extension to finite deformation theory
AU - Löhnert, Stefan
AU - Mueller-Hoeppe, D. S.
AU - Wriggers, Peter
PY - 2010/10/28
Y1 - 2010/10/28
N2 - 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.
AB - 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.
KW - Blending elements
KW - Cracks
KW - Finite deformation
KW - Numerical integration
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=79953112238&partnerID=8YFLogxK
U2 - 10.1002/nme.3045
DO - 10.1002/nme.3045
M3 - Article
AN - SCOPUS:79953112238
VL - 86
SP - 431
EP - 452
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 4-5
ER -