On the relation between shape imperfections of a specimen and necking growth rate under dynamic conditions

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dc.contributor.author Godinger, A.
dc.contributor.author Rotbaum, Y.
dc.contributor.author Vaz-Romero, Álvaro
dc.contributor.author Rodríguez-Martínez, José A.
dc.date.accessioned 2017-11-09T11:50:16Z
dc.date.available 2019-10-01T22:10:03Z
dc.date.issued 2017-10
dc.identifier.bibliographicCitation International journal of engineering science, vol. 119, pp. 278-287, October 2017
dc.identifier.issn 0020-7225
dc.identifier.uri http://hdl.handle.net/10016/25785
dc.description.abstract In this work, the growth rate of necks formed in dynamically loaded tensile steel samples is investigated. For that purpose, a combined experimental-numerical approach, in which the experimental results are systematically compared with finite element calculations, has been developed. The specimens have a machined sinusoidal geometrical imperfection that covers the whole gauge, introducing a characteristic wavelength in the samples. For a given cross-section diameter, specimens with 6 different gauge lengths (i.e. 6 different specimen wavelengths) were tested. Using a high-speed camera, we measured the time evolution of the radial contraction of the central section of the samples (central section of the neck), thus obtaining the growth rate of the necks. The experiments show that the speed of growth of the necks increases non-linearly with the specimen wavelength (concave-downward shape) until saturation is reached for the longest tested specimens. Numerical simulations performed for the strain rates attained in the experiments (from 900 s−1 to 2100 s−1) confirm this trend and demonstrate that the damping of short specimen wavelengths is caused by stress multiaxiality effects. Numerical simulations performed for strain rates greater than those attained in the experiments (above 7500 s−1) show that long specimen wavelengths become damped by inertia effects at sufficiently high strain rates. For strain rates greater than 7500 s−1, the maximum growth rate of the neck corresponds to an intermediate specimen wavelength defined by the joint action of stress multiaxiality and inertia on damping short and long wavelengths, respectively. Altogether, our experimental and numerical results suggest the existence of a specimen wavelength that, when inertia effects become important, determines the maximum growth rate of dynamic necks, in agreement with the predictions of the dynamic stability analyses developed by Molinari and co-workers (Fressengeas and Molinari, 1985, 1994; Mercier and Molinari, 2003, 2004).
dc.description.sponsorship AVR and JARM are indebted to the Ministerio de Economía y Competitividad de España (Projects EUIN2015-62556 and DPI2014-57989-P) for the financial support which permitted to conduct part of this work. The research leading to these results has received funding from the European Union’s Horizon2020 Programme (Excellent Science, Marie-Sklodowska-Curie Actions) under REA grant agreement 675602 (Project OUTCOME).
dc.format.extent 10
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Elsevier Ltd.
dc.rights © 2017 Elsevier Ltd. All rights reserved.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Dynamic tension
dc.subject.other Necking growth rate
dc.subject.other Critical specimen wavelength
dc.subject.other Stress multiaxiality
dc.subject.other Inertia
dc.title On the relation between shape imperfections of a specimen and necking growth rate under dynamic conditions
dc.type article
dc.subject.eciencia Ingeniería Industrial
dc.subject.eciencia Ingeniería Mecánica
dc.identifier.doi https://doi.org/10.1016/j.ijengsci.2017.06.020
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. EUIN2015-62556
dc.relation.projectID Gobierno de España. DPI2014-57989-P
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/675602
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 278
dc.identifier.publicationlastpage 287
dc.identifier.publicationtitle International journal of engineering science
dc.identifier.publicationvolume 119
dc.identifier.uxxi AR/0000020466
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