Original title: Influence of the sinngularity induced by the free surface on behaviour of thin body with a v-notch
Translated title: Vliv singularity způsobené volným povrchem na chování tenkých těles s v-vrubem
Authors: Majer, Zdeněk ; Hutař, Pavel ; Náhlík, Luboš
Document type: Papers
Conference/Event: International Scientific Conference Applied Mechanics 2007 /9./, Malenovice (CZ), 2007-04-16 / 2007-04-19
Year: 2007
Language: eng
Abstract: [eng] [cze]
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. 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. Vliv singularity indukované na volném povrchu byl zkoumán na tělese s ostrým V-vrubem. Pomocí metody konečných prvků byla provedena analýza takového tělesa a stanoven průběh singularity po tloušťce vzorku. Bylo zjištěno, že velikost singularity směrem k volnému povrchu klesá až na hodnotu odpovídající rohové singularity. Byly stanoveny tloušťky těles pro které je tato změna významná. Presentované výsledky pomáhají k věrohodnému popisu 3d těles s obecnými koncentrátory napětí.
Keywords: Surface singularity
Project no.: CEZ:AV0Z20410507 (CEP), GD106/05/H008 (CEP), GA101/05/0227 (CEP)
Funding provider: GA ČR, GA ČR
Host item entry: Applied Mechanics 2007, ISBN 978-80-248-1389-9

Institution: Institute of Physics of Materials AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0154578

Permalink: http://www.nusl.cz/ntk/nusl-38165


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Research > Institutes ASCR > Institute of Physics of Materials
Conference materials > Papers