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"
}