Publication detail
Quantification of the influence of vertex singularities on crack behaviour
HUTAŘ, P. NÁHLÍK, L. ŠESTÁKOVÁ, L. KNÉSL, Z.
Czech title
Stanovení vlivu rohové singularity na chování trhlin
English title
Quantification of the influence of vertex singularities on crack behaviour
Type
abstract
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 typical singular behaviour of the crack is dominant and can be described by linear elastic fracture mechanics equations. Contrary to this, at the free surface or in the boundary layer close to free surface the vertex singularity is significant. The influence of corner singularity on crack behaviour for a three-dimensional structure is described in this paper. Depending on Poisson's ratio, singularity exponents in corner point vary between 0.5 and 0.33. A V-notch with corresponding stress singularity was used as a model of a crack influenced by a corner singular field. The methodology suggested describes the behaviour of a crack with a singularity exponent less than 0.5. The results presented makes it possible to estimate the behaviour of a crack induced by change of the stress singularity exponent, using the known concept of the generalized stress intensity factor.
Czech abstract
Rozložení napětí v okolí vrcholu trhliny a singularita napětí jsou ovlivněny existencí rohové singularity v místě, kde trhlina dosahuje volného povrchu. Uvnitř tělesa je dominantní typické singulární chování trhliny, které může být popsáno rovnicemi lineární elastické lomové mechaniky. Naproti tomu na volném povrchu nebo v hraniční vrstvě blízko volnému povrchu je významná rohová singularita. Tento článek se zabývá vlivem rohové singularity na chování trhliny v trojrozměrném tělese. V závislosti na Poissonově čísle se exponenty singularity mění v rozmezí 0,5 až 0,33. Jako model trhliny ovlivněné rohovou singularitou byl použit V-vrub s odpovídající singularitou napětí. Navržená metodologie popisuje chování trhliny s exponentem singularity menším než 0,5. Prezentované výsledky umožňují určit chování trhliny s exponentem singularity napětí, jehož hodnota je ovlivněna volným povrchem, pomocí známé koncepce zobecněného součinitele intenzity napětí.
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 typical singular behaviour of the crack is dominant and can be described by linear elastic fracture mechanics equations. Contrary to this, at the free surface or in the boundary layer close to free surface the vertex singularity is significant. The influence of corner singularity on crack behaviour for a three-dimensional structure is described in this paper. Depending on Poisson's ratio, singularity exponents in corner point vary between 0.5 and 0.33. A V-notch with corresponding stress singularity was used as a model of a crack influenced by a corner singular field. The methodology suggested describes the behaviour of a crack with a singularity exponent less than 0.5. The results presented makes it possible to estimate the behaviour of a crack induced by change of the stress singularity exponent, using the known concept of the generalized stress intensity factor.
Keywords in Czech
rohová singularita, V-vrub, metoda konečných prvků
Keywords in English
vertex singularity, V-notch, finite element method
Released
22.08.2007
Publisher
Centre des Matériaux
Location
Paris, France
ISBN
-
Book
IWCMM17-Paris Book of Abstracts
Pages from–to
139–139
Pages count
1