Shape Prediction of Fatigue Crack Based on a Given Stress Intensity Factor Distribution
There is an inherent relationship between the shape and the corresponding stress intensity factor (SIF) distribution of a crack. A typical inverse problem of linear elastic fracture mechanics about a crack, i.e. to predict the shape of a crack assuming that some information of SIF distribution is kn...
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Veröffentlicht in: | Key engineering materials 2007-09, Vol.353-358, p.19-23 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | There is an inherent relationship between the shape and the corresponding stress intensity
factor (SIF) distribution of a crack. A typical inverse problem of linear elastic fracture mechanics
about a crack, i.e. to predict the shape of a crack assuming that some information of SIF distribution is
known, is presented. A finite-element based numerical procedure is used to determine the shape,
correspondingly the SIF, of a mode-I planar crack based on a specified SIF distribution. The crack
front is modeled using cubic splines, which are determined by a number of control-points. The crack
front shape is achieved iteratively by moving control-points based on a gradientless algorithm.
Numerical examples for planar cracks in through-cracked and surface-cracked plates with finite
thickness and width are presented to show the validity and practicability of the proposed method. The
SIFs obtained by present method are compared with the known solutions for cracks with same
dimensions. The presented method is considered to be a promising alternative to the evaluation of
SIFs and the prediction of shape evolution for fatigue cracks. |
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ISSN: | 1013-9826 1662-9795 1662-9795 |
DOI: | 10.4028/www.scientific.net/KEM.353-358.19 |