Publication detail

An effect of the first non-singular term of the Williams asymptotic expansion to the stability of the bi-material orthotropic notch

PROFANT, T. KLUSÁK, J. ŠEVEČEK, O. KOTOUL, M. HRSTKA, M. MARCIÁN, P.

Czech title

Vliv prvního nesingulárního členu Williamsova asymptotického rozvoje na stabilitu ortotropního bimateriálového vrubu

English title

An effect of the first non-singular term of the Williams asymptotic expansion to the stability of the bi-material orthotropic notch

Type

conference paper

Language

en

Original abstract

The domain of the generalized stress intensity factors dominance ahead of the notch tip can be rather small with respect to the length of the perturbing cracks initiated from the tip of the notch. Thus the non-singular terms of the stress asymptotic expansion at the notch tip would play an important role in the notch tip stability. Following the procedures dealing with complex potential theory and path-independent two-state integrals developed for the singular stress analysis of the stress concentrators one can evaluate their magnitude and include them to the energy release rate of the preexisting crack initiated from the notch tip applying the matched asymptotic procedure. The presented analysis should lead to better understanding of the notch stability process and precising of the notch stability criteria.

Czech abstract

Doména všeobecného napětí dominance intenzity faktory před zářezu špičky může být poměrně malý, pokud jde o délku poruchového trhlin iniciovaných od špičky zářezu. Tak, že non-singulární podmínky stresu asymptotické expanzi v zářezu špičce bude hrát důležitou roli v zářezu tip stabilitu. Podle postupů, které se zabývají komplexní teorie potenciálu a cesta nezávislých dvoustavové integrálů vyvinutých pro singulární analýzy napětí na koncentrátorů napětí jeden mohl vyhodnotit jejich závažnost a zahrnout je do rychlosti uvolňování energie dříve existující trhliny iniciováno z vrubu špičky uplatňují uzavřeno asymptotic postup. Předkládaná analýza by měla vést k lepšímu pochopení procesu zářez stability a zpřesnění zářezu kritéria stability.

English abstract

The domain of the generalized stress intensity factors dominance ahead of the notch tip can be rather small with respect to the length of the perturbing cracks initiated from the tip of the notch. Thus the non-singular terms of the stress asymptotic expansion at the notch tip would play an important role in the notch tip stability. Following the procedures dealing with complex potential theory and path-independent two-state integrals developed for the singular stress analysis of the stress concentrators one can evaluate their magnitude and include them to the energy release rate of the preexisting crack initiated from the notch tip applying the matched asymptotic procedure. The presented analysis should lead to better understanding of the notch stability process and precising of the notch stability criteria.

Keywords in Czech

Ortotropní bimateriálový vrub; dvoustavový integrál; psí-integrál; T-napětí

Keywords in English

Orthotropic bi-material notch; two-state integral; psi-integral; stress non-singular terms; T-stress; matched asymptotic expansion

RIV year

2014

Released

06.01.2014

Publisher

Trans Tech Publications

Location

Switzerland

ISSN

1013-9826

Book

Materials Structure & Micromechanics of Fracture VII

Volume

592-593

Number

2014

Pages from–to

745–748

Pages count

4

BIBTEX


@inproceedings{BUT102806,
  author="Tomáš {Profant} and Jan {Klusák} and Oldřich {Ševeček} and Michal {Kotoul} and Miroslav {Hrstka} and Petr {Marcián},
  title="An effect of the first non-singular term of the Williams asymptotic expansion to the stability of the bi-material orthotropic notch",
  booktitle="Materials Structure & Micromechanics of Fracture VII",
  year="2014",
  volume="592-593",
  number="2014",
  month="January",
  pages="745--748",
  publisher="Trans Tech Publications",
  address="Switzerland",
  issn="1013-9826"
}