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Vliv singularity způsobené volným povrchem na chování tenkých těles s v-vrubem
Majer, Zdeněk
;
Hutař, Pavel
;
Náhlík, Luboš
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.
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The Influence of Multilayer Composite Interface on Crack Propagation Direction
Šestáková, Lucie
;
Náhlík, Luboš
;
Hutař, Pavel
The paper deals with crack propagation in multilayer composites. A substantial number of experimentally based works have indicated the changes in crack propagation direction on multilayer composite interfaces. Changes of this kind are mostly desirable for composite technical life extension. Crack direction modification in the composite interface is investigated through a numerical simulation of this problem. For determination of the consequent propagation direction the minimal strain energy density criterion is employed. The ascertained propagation direction of the crack in the multilayer composite is compared with experimental results.
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Analýza spolehlivosti nosníku na pružném podkladu
Marek, Pavel
;
Frydrýšek, K.
This paper is focused on the solution of simple beam continually supported by linear elastic foundation (Winkler’s subsoil). The beam is exposed to combination of dead, long lasting and short lasting forces. For the calculation of maximal bending stresses are used analytical methods and probabilistic approaches (SBRA method, Anthill software).
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