Analysis of the localization process leading to fragmentation of dynamically expanded rings

A novel extension of the Linear Stability Analysis (LSA) applied to the development of the instabilities in a round bar in dynamic extension is proposed. The history of development of the instabilities and the multi-modal aspect of the perturbations are now considered in this extension. A new statis...

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Main Authors: El Maï Skander, Mercier Sébastien, Molinari Alain
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201818301064
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spelling doaj-16e01e7415154f9283e207d54155f5672021-08-02T04:26:09ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011830106410.1051/epjconf/201818301064epjconf_dymat2018_01064Analysis of the localization process leading to fragmentation of dynamically expanded ringsEl Maï SkanderMercier SébastienMolinari AlainA novel extension of the Linear Stability Analysis (LSA) applied to the development of the instabilities in a round bar in dynamic extension is proposed. The history of development of the instabilities and the multi-modal aspect of the perturbations are now considered in this extension. A new statistical approach based on the power spectrum of the perturbation pattern is proposed to evaluate the variability of the spacing between potential sites of necking. This approach has been applied to analyze the LSA results and predictions obtained from numerical simulations of a bar in dynamic extension. It is shown that both analytical and numerical approaches provides good agreementhttps://doi.org/10.1051/epjconf/201818301064
collection DOAJ
language English
format Article
sources DOAJ
author El Maï Skander
Mercier Sébastien
Molinari Alain
spellingShingle El Maï Skander
Mercier Sébastien
Molinari Alain
Analysis of the localization process leading to fragmentation of dynamically expanded rings
EPJ Web of Conferences
author_facet El Maï Skander
Mercier Sébastien
Molinari Alain
author_sort El Maï Skander
title Analysis of the localization process leading to fragmentation of dynamically expanded rings
title_short Analysis of the localization process leading to fragmentation of dynamically expanded rings
title_full Analysis of the localization process leading to fragmentation of dynamically expanded rings
title_fullStr Analysis of the localization process leading to fragmentation of dynamically expanded rings
title_full_unstemmed Analysis of the localization process leading to fragmentation of dynamically expanded rings
title_sort analysis of the localization process leading to fragmentation of dynamically expanded rings
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description A novel extension of the Linear Stability Analysis (LSA) applied to the development of the instabilities in a round bar in dynamic extension is proposed. The history of development of the instabilities and the multi-modal aspect of the perturbations are now considered in this extension. A new statistical approach based on the power spectrum of the perturbation pattern is proposed to evaluate the variability of the spacing between potential sites of necking. This approach has been applied to analyze the LSA results and predictions obtained from numerical simulations of a bar in dynamic extension. It is shown that both analytical and numerical approaches provides good agreement
url https://doi.org/10.1051/epjconf/201818301064
work_keys_str_mv AT elmaiskander analysisofthelocalizationprocessleadingtofragmentationofdynamicallyexpandedrings
AT merciersebastien analysisofthelocalizationprocessleadingtofragmentationofdynamicallyexpandedrings
AT molinarialain analysisofthelocalizationprocessleadingtofragmentationofdynamicallyexpandedrings
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