A Mathematical Model of Deformation under High Pressure Torsion Extrusion

High pressure torsion extrusion (HPTE) is a promising new mechanism for severe plastic deformation of metals and alloys. It enables the manufacture of long products with a radial gradient ultrafine-grained structure and of composite materials with a helical inner architecture at the meso and the mac...

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Main Authors: Roman Kulagin, Yan Beygelzimer, Yuri Estrin, Yulia Ivanisenko, Brigitte Baretzky, Horst Hahn
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Metals
Subjects:
Online Access:http://www.mdpi.com/2075-4701/9/3/306
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spelling doaj-3c31a1b8270942ef824e0abad0db12d62020-11-25T00:30:03ZengMDPI AGMetals2075-47012019-03-019330610.3390/met9030306met9030306A Mathematical Model of Deformation under High Pressure Torsion ExtrusionRoman Kulagin0Yan Beygelzimer1Yuri Estrin2Yulia Ivanisenko3Brigitte Baretzky4Horst Hahn5Institute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, GermanyDepartment of Materials Science and Engineering, Monash University, Clayton 3800, AustraliaInstitute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, GermanyInstitute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, GermanyHigh pressure torsion extrusion (HPTE) is a promising new mechanism for severe plastic deformation of metals and alloys. It enables the manufacture of long products with a radial gradient ultrafine-grained structure and of composite materials with a helical inner architecture at the meso and the macro scale. HPTE is very promising as a technique enabling light weighting, especially with magnesium, aluminium and titanium alloys. For the first time, this article presents an analytical model of the HPTE process that makes it possible to investigate the role of the various process parameters and calculate the distribution of the equivalent strain over the entire sample length. To verify the model, its predictions were compared with the numerical simulations by employing the finite element software QForm. It was shown that potential negative effects associated with the slippage of a sample relative to the container walls can be suppressed through appropriate die design and an efficient use of the friction forces.http://www.mdpi.com/2075-4701/9/3/306light metalsprocessingsevere plastic deformationhigh pressure torsion extrusionfinite element modelequivalent strainmechanical properties
collection DOAJ
language English
format Article
sources DOAJ
author Roman Kulagin
Yan Beygelzimer
Yuri Estrin
Yulia Ivanisenko
Brigitte Baretzky
Horst Hahn
spellingShingle Roman Kulagin
Yan Beygelzimer
Yuri Estrin
Yulia Ivanisenko
Brigitte Baretzky
Horst Hahn
A Mathematical Model of Deformation under High Pressure Torsion Extrusion
Metals
light metals
processing
severe plastic deformation
high pressure torsion extrusion
finite element model
equivalent strain
mechanical properties
author_facet Roman Kulagin
Yan Beygelzimer
Yuri Estrin
Yulia Ivanisenko
Brigitte Baretzky
Horst Hahn
author_sort Roman Kulagin
title A Mathematical Model of Deformation under High Pressure Torsion Extrusion
title_short A Mathematical Model of Deformation under High Pressure Torsion Extrusion
title_full A Mathematical Model of Deformation under High Pressure Torsion Extrusion
title_fullStr A Mathematical Model of Deformation under High Pressure Torsion Extrusion
title_full_unstemmed A Mathematical Model of Deformation under High Pressure Torsion Extrusion
title_sort mathematical model of deformation under high pressure torsion extrusion
publisher MDPI AG
series Metals
issn 2075-4701
publishDate 2019-03-01
description High pressure torsion extrusion (HPTE) is a promising new mechanism for severe plastic deformation of metals and alloys. It enables the manufacture of long products with a radial gradient ultrafine-grained structure and of composite materials with a helical inner architecture at the meso and the macro scale. HPTE is very promising as a technique enabling light weighting, especially with magnesium, aluminium and titanium alloys. For the first time, this article presents an analytical model of the HPTE process that makes it possible to investigate the role of the various process parameters and calculate the distribution of the equivalent strain over the entire sample length. To verify the model, its predictions were compared with the numerical simulations by employing the finite element software QForm. It was shown that potential negative effects associated with the slippage of a sample relative to the container walls can be suppressed through appropriate die design and an efficient use of the friction forces.
topic light metals
processing
severe plastic deformation
high pressure torsion extrusion
finite element model
equivalent strain
mechanical properties
url http://www.mdpi.com/2075-4701/9/3/306
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