Publication detail

Quantification of the influence of vertex singularities on crack behaviour

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

Original Title

Quantification of the influence of vertex singularities on crack behaviour

Type

abstract

Language

English

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.

Keywords

vertex singularity, V-notch, finite element method

Authors

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

Released

22. 8. 2007

Publisher

Centre des Matériaux

Location

Paris, France

ISBN

-

Book

IWCMM17-Paris Book of Abstracts

Pages from

139

Pages to

139

Pages count

1

BibTex

@misc{BUT60539,
  author="Pavel {Hutař} and Luboš {Náhlík} and Lucie {Malíková} and Zdeněk {Knésl}",
  title="Quantification of the influence of vertex singularities on crack behaviour",
  booktitle="IWCMM17-Paris Book of Abstracts",
  year="2007",
  pages="139--139",
  publisher="Centre des Matériaux",
  address="Paris, France",
  isbn="-",
  note="abstract"
}