Quantification of the influence of vertex singularities on crack behaviour

abstract

English

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.

vertex singularity, V-notch, finite element method

HUTAŘ, P.; NÁHLÍK, L.; ŠESTÁKOVÁ, L.; KNÉSL, Z.

22. 8. 2007

Centre des Matériaux

Paris, France

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IWCMM17-Paris Book of Abstracts

139

139

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