Publication detail
The influence of vertex singularities on fatigue crack shape
HUTAŘ, P. NÁHLÍK, L. KNÉSL, Z. SEITL, S.
Czech title
Vliv rohové singularity na tvar únavové trhliny
English title
The influence of vertex singularities on fatigue crack shape
Type
conference paper
Language
en
Original abstract
Due to the existence of vertex singularity at the point where the crack intersects the free surface, stress distribution around the crack tip and the type of the singularity is changed. In the interior of the specimen the classical singular behaviour of the crack is dominant and can be described using generally known analytic equations. Contrary to this, at the free surface or in the boundary layer close to the free surface the vertex singularity is significant. The influence of vertex singularity on crack behaviour and crack shape for a three-dimensional structure is described in this paper. To estimate the influence of the free surface on fatigue crack growth rate the model of a general singular stress concentrator was applied. Using this concept of the generalized stress intensity factor it is possible to estimate the behaviour of a crack with general singular stress field. The estimated fatigue crack shape can help to provide a more reliable estimation of the fatigue life of the structures considered.
Czech abstract
Diky existenci rohové singularity v místě, kde se protíná čelo trhliny s volným povrchem, rozdělení napětí a typ singularity se mění. Tato změna se dá postihnout pomocí zobecněné lomové mechaniky a popsat tak změny rychlosti šíření únavové trhliny pomocí zobecněného faktoru intenzity napětí. Pomocí tohoto konceptu lze odhadnout i výsledný tvar únavové trhliny.
English abstract
Due to the existence of vertex singularity at the point where the crack intersects the free surface, stress distribution around the crack tip and the type of the singularity is changed. In the interior of the specimen the classical singular behaviour of the crack is dominant and can be described using generally known analytic equations. Contrary to this, at the free surface or in the boundary layer close to the free surface the vertex singularity is significant. The influence of vertex singularity on crack behaviour and crack shape for a three-dimensional structure is described in this paper. To estimate the influence of the free surface on fatigue crack growth rate the model of a general singular stress concentrator was applied. Using this concept of the generalized stress intensity factor it is possible to estimate the behaviour of a crack with general singular stress field. The estimated fatigue crack shape can help to provide a more reliable estimation of the fatigue life of the structures considered.
Keywords in Czech
rohová singularita, únavová trhlina, zobecněný součinitel intenzity napětí
Keywords in English
vertex singularity, fatigue crack, generalized stress intensity factor
RIV year
2008
Released
02.09.2008
Publisher
VUTIUM
Location
Brno
ISBN
9781617823190
Book
ECF17 - European Conference on Fracture 17
Pages from–to
1060–1066
Pages count
7
BIBTEX
@inproceedings{BUT30082,
author="Pavel {Hutař} and Luboš {Náhlík} and Zdeněk {Knésl} and Stanislav {Seitl},
title="The influence of vertex singularities on fatigue crack shape",
booktitle="ECF17 - European Conference on Fracture 17",
year="2008",
month="September",
pages="1060--1066",
publisher="VUTIUM",
address="Brno",
isbn="9781617823190"
}