Publication detail
Study on Generalization of Lefort’s Approach toCriticalCrackLength
HORNÍKOVÁ, J. ŠANDERA, P. ŽÁK, S. POKLUDA, J.
English title
Study on Generalization of Lefort’s Approach toCriticalCrackLength
Type
conference paper
Language
en
Original abstract
The critical length aIcof amode I crack that corresponds to a vanishing of the influence of the notch stress concentration can be approximately expressedby aformulareported by Lefort. This study aimedtogeneralize his approach to shear mode cracks by finding a criterion for a statistical compatibility of formulae for critical lengthsof cracks. It revealed that the Lefort ́s formula describes the critical crack length aIcatwhich the relative level of the notch effect on the modeI SIF is less than 1%. Based on this criterion, a mathematically similar formula for the critical length aIIIcwas found. A part of this study wasalso a development of a transformation procedure suitable for fitting the obtained SIF data by simple analytical formulae and for clear related illustrative plots of results.
English abstract
The critical length aIcof amode I crack that corresponds to a vanishing of the influence of the notch stress concentration can be approximately expressedby aformulareported by Lefort. This study aimedtogeneralize his approach to shear mode cracks by finding a criterion for a statistical compatibility of formulae for critical lengthsof cracks. It revealed that the Lefort ́s formula describes the critical crack length aIcatwhich the relative level of the notch effect on the modeI SIF is less than 1%. Based on this criterion, a mathematically similar formula for the critical length aIIIcwas found. A part of this study wasalso a development of a transformation procedure suitable for fitting the obtained SIF data by simple analytical formulae and for clear related illustrative plots of results.
Keywords in English
critical crack length;loading mode I; loading mode III; stress intensity factors;U-notch
Released
13.12.2019
Publisher
Trans Tech Publications Ltd
ISBN
9783035715866
ISSN
1013-9826
Book
Advances in Fracture and Damage Mechanics XVIII
Volume
827
Number
1
Pages from–to
153–158
Pages count
6
BIBTEX
@inproceedings{BUT160941,
author="Jana {Horníková} and Pavel {Šandera} and Stanislav {Žák} and Jaroslav {Pokluda},
title="Study on Generalization of Lefort’s Approach toCriticalCrackLength",
booktitle="Advances in Fracture and Damage Mechanics XVIII",
year="2019",
volume="827",
number="1",
month="December",
pages="153--158",
publisher="Trans Tech Publications Ltd",
isbn="9783035715866",
issn="1013-9826"
}