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"
}