Details
| Original language | English |
|---|---|
| Pages (from-to) | 147-156 |
| Number of pages | 10 |
| Journal | International journal of fracture |
| Volume | 178 |
| Issue number | 1-2 |
| Publication status | Published - 2 Nov 2012 |
Abstract
The accurate and efficient prediction of the interaction of microcracks with macrocracks has been a challenge for many years. In this paper a discretization error controlled adaptive multiscale technique for the accurate simulation of microstructural effects within a macroscopic component is presented. The simulation of cracks is achieved using the corrected XFEM. The error estimation procedure is based on the well known Zienkiewicz and Zhu method extended to the XFEM for cracks such that physically meaningful stress irregularities and non-smoothnesses are accurately reflected. The incorporation of microstructural features such as microcracks is achieved by means of the multiscale projection method. In this context an error controlled adaptive mesh refinement is performed on the fine scale where microstructural effects may lead to highly complex mechanical behavior. The presented method is applied to a few examples showing its validity and applicability to arbitrary problems within fracture mechanics.
Keywords
- Cracks, Error estimation, Multiscale, XFEM
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanics of Materials
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In: International journal of fracture, Vol. 178, No. 1-2, 02.11.2012, p. 147-156.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Error controlled adaptive multiscale XFEM simulation of cracks
AU - Loehnert, S.
AU - Prange, C.
AU - Wriggers, P.
N1 - Funding information: Acknowledgments The support of the German Research Foundation (DFG) in the frame of the research grant LO 827/3-1 is gratefully acknowledged.
PY - 2012/11/2
Y1 - 2012/11/2
N2 - The accurate and efficient prediction of the interaction of microcracks with macrocracks has been a challenge for many years. In this paper a discretization error controlled adaptive multiscale technique for the accurate simulation of microstructural effects within a macroscopic component is presented. The simulation of cracks is achieved using the corrected XFEM. The error estimation procedure is based on the well known Zienkiewicz and Zhu method extended to the XFEM for cracks such that physically meaningful stress irregularities and non-smoothnesses are accurately reflected. The incorporation of microstructural features such as microcracks is achieved by means of the multiscale projection method. In this context an error controlled adaptive mesh refinement is performed on the fine scale where microstructural effects may lead to highly complex mechanical behavior. The presented method is applied to a few examples showing its validity and applicability to arbitrary problems within fracture mechanics.
AB - The accurate and efficient prediction of the interaction of microcracks with macrocracks has been a challenge for many years. In this paper a discretization error controlled adaptive multiscale technique for the accurate simulation of microstructural effects within a macroscopic component is presented. The simulation of cracks is achieved using the corrected XFEM. The error estimation procedure is based on the well known Zienkiewicz and Zhu method extended to the XFEM for cracks such that physically meaningful stress irregularities and non-smoothnesses are accurately reflected. The incorporation of microstructural features such as microcracks is achieved by means of the multiscale projection method. In this context an error controlled adaptive mesh refinement is performed on the fine scale where microstructural effects may lead to highly complex mechanical behavior. The presented method is applied to a few examples showing its validity and applicability to arbitrary problems within fracture mechanics.
KW - Cracks
KW - Error estimation
KW - Multiscale
KW - XFEM
UR - http://www.scopus.com/inward/record.url?scp=84870691389&partnerID=8YFLogxK
U2 - 10.1007/s10704-012-9777-0
DO - 10.1007/s10704-012-9777-0
M3 - Article
AN - SCOPUS:84870691389
VL - 178
SP - 147
EP - 156
JO - International journal of fracture
JF - International journal of fracture
SN - 0376-9429
IS - 1-2
ER -