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International Journal of Fracture Mechanics
Article . 1987 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Mode-extraction from mixed mode analysis of cracks by special filter-technique

Authors: Mattheck, C.; Moldenhauer, H.;

Mode-extraction from mixed mode analysis of cracks by special filter-technique

Abstract

In the literature there is no lack of methods and rules in computing mode I and II stress intensity factors of mixed-mode problems. All these methods suffer from the fact that they are not readily available to be used in existing finite element programs without code modifications or extensive post-processing of the numerical results. As the calculation of the J-integral is now standard in FE-programs like Abaqus, Ansys, Marc etc., there is the urgent need to allow the determination of the separated K-factors of all modes in a mixed mode problem. Up to now, for this case, these general purpose programs deliver the J-integral with the simultaneous contribution of all modes. Separation of the single K-values is not a trivial task. By application of multi-point constraints, a standard tool in FE-programs, the mode extraction becomes a simple task, even for 3-D problems. No additional programming or postprocessing is necessary. The favourable convergence of the J-integral concept with respect to spatial discretization is fully maintained, so 3-D applications are not prohibitive. The proposed filter technique uses a crack closure constraint for the mode to be filtered out. The explanation for this is based on the principle of superposition and Sneddon's formulae [1] for the near crack-tip field. Numerical results obtained by the new method in plane stress problems are in good agreement with reference solutions in the literature.

Country
Germany
Related Organizations
Keywords

ddc:620, Engineering & allied operations, info:eu-repo/classification/ddc/620, 620

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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