Detail publikace

INFLUENCE OF THE SINGULARITY INDUCED BY THE FREE SURFACE ON BEHAVIOUR OF THIN BODY WITH A V-NOTCH

MAJER, Z. HUTAŘ, P. NÁHLÍK, J.

Originální název

INFLUENCE OF THE SINGULARITY INDUCED BY THE FREE SURFACE ON BEHAVIOUR OF THIN BODY WITH A V-NOTCH

Český název

INFLUENCE OF THE SINGULARITY INDUCED BY THE FREE SURFACE ON BEHAVIOUR OF THIN BODY WITH A V-NOTCH

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

cs

Originální abstrakt

The influence of the singularity induced by the free surface on the behaviour of a body with a V-notch is investigated in this paper. Attention is focused mainly on the change of the singularity and the stress state through the thickness of a three-dimensional specimen. Numerical finite-element analysis of the tension loaded specimens with a V-notch were performed. The displacements and the stresses from the analysis were used to estimate the power of singularities using a log-log regression analysis along the crack front. It was found that in the middle of the specimen singularity of the V-notch is dominant this can be found using analytic equations describing two-dimensional stress distribution around the sharp V-notch. This singularity is dependent only on the V-notch angle. The second singularity is dominant at the free surface and their influence becomes nearly zero away from boundary layer. The thickness of boundary layer (region influenced by corner singularity) depends only on the Poisson's ratio of the material. The presented results can be used for a more reliable estimation of the free-surface effect on singular concentrator behaviour.

Český abstrakt

The influence of the singularity induced by the free surface on the behaviour of a body with a V-notch is investigated in this paper. Attention is focused mainly on the change of the singularity and the stress state through the thickness of a three-dimensional specimen. Numerical finite-element analysis of the tension loaded specimens with a V-notch were performed. The displacements and the stresses from the analysis were used to estimate the power of singularities using a log-log regression analysis along the crack front. It was found that in the middle of the specimen singularity of the V-notch is dominant this can be found using analytic equations describing two-dimensional stress distribution around the sharp V-notch. This singularity is dependent only on the V-notch angle. The second singularity is dominant at the free surface and their influence becomes nearly zero away from boundary layer. The thickness of boundary layer (region influenced by corner singularity) depends only on the Poisson's ratio of the material. The presented results can be used for a more reliable estimation of the free-surface effect on singular concentrator behaviour.

Klíčová slova

Surface singularity, V-notch, finite elements analysis, general stress concentrators

Rok RIV

2007

Vydáno

08.04.2007

Nakladatel

VŠB - Technical University of Ostrava

Místo

Ostrava

ISBN

978-80-248-1389-9

Kniha

Applied Mechanics 2007 - Book of Extended Abstract

Strany od

155

Strany do

156

Strany počet

2

Dokumenty

BibTex


@inproceedings{BUT28373,
  author="Zdeněk {Majer} and Pavel {Hutař} and Luboš {Náhlík}",
  title="INFLUENCE OF THE SINGULARITY INDUCED BY THE FREE SURFACE ON BEHAVIOUR OF THIN BODY WITH A V-NOTCH",
  annote="The influence of the singularity induced by the free surface on the behaviour of a body with a V-notch is investigated in this paper. Attention is focused mainly on the change of the singularity and the stress state through the thickness of a three-dimensional specimen. Numerical finite-element analysis of the tension loaded specimens with a V-notch were performed. The displacements and the stresses from the analysis were used to estimate the power of singularities using a log-log regression analysis along the crack front. It was found that in the middle of the specimen singularity of the V-notch is dominant this can be found using analytic equations describing two-dimensional stress distribution around the sharp V-notch. This singularity is dependent only on the V-notch angle. The second singularity is dominant at the free surface and their influence becomes nearly zero away from boundary layer. The thickness of boundary layer (region influenced by corner singularity) depends only on the Poisson's ratio of the material. The presented results can be used for a more reliable estimation of the free-surface effect on singular concentrator behaviour.",
  address="VŠB - Technical University of Ostrava",
  booktitle="Applied Mechanics 2007 - Book of Extended Abstract",
  chapter="28373",
  institution="VŠB - Technical University of Ostrava",
  year="2007",
  month="april",
  pages="155--156",
  publisher="VŠB - Technical University of Ostrava",
  type="conference paper"
}