Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model

The Sellars and Tegart’s hyperbolic sine constitutive model is widely practiced in describing stress–strain curves of metals in hot deformation processes. The acceptance of this phenomenological model is owed to its versatility (working for a wide range of stress values) and simplicity (being only a...

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Main Author: Soheil Solhjoo
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Modelling
Subjects:
Online Access:https://www.mdpi.com/2673-3951/3/3/23
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author Soheil Solhjoo
author_facet Soheil Solhjoo
author_sort Soheil Solhjoo
collection DOAJ
description The Sellars and Tegart’s hyperbolic sine constitutive model is widely practiced in describing stress–strain curves of metals in hot deformation processes. The acceptance of this phenomenological model is owed to its versatility (working for a wide range of stress values) and simplicity (being only a function of strain, strain rate, and temperature). The common practices of this model are revisited in this work, with a few suggestions to improve its results. Moreover, it is discussed that, with the progress of data-driven models, the main reason for using the Sellars and Tegart’s model should be to identify reliable activation energies, and not the stress–strain curves. Furthermore, a piece of code (<i>Hot Deformation Fitting Tool</i>) has been created to automate the analysis of stress–strain curves with various models.
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spelling doaj.art-882b14a0b4a2490fb948a1e22eadc39c2023-11-23T17:57:05ZengMDPI AGModelling2673-39512022-08-013335937310.3390/modelling3030023Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive ModelSoheil Solhjoo0ENTEG, Faculty of Science and Engineering, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The NetherlandsThe Sellars and Tegart’s hyperbolic sine constitutive model is widely practiced in describing stress–strain curves of metals in hot deformation processes. The acceptance of this phenomenological model is owed to its versatility (working for a wide range of stress values) and simplicity (being only a function of strain, strain rate, and temperature). The common practices of this model are revisited in this work, with a few suggestions to improve its results. Moreover, it is discussed that, with the progress of data-driven models, the main reason for using the Sellars and Tegart’s model should be to identify reliable activation energies, and not the stress–strain curves. Furthermore, a piece of code (<i>Hot Deformation Fitting Tool</i>) has been created to automate the analysis of stress–strain curves with various models.https://www.mdpi.com/2673-3951/3/3/23hot deformationconstitutive modelingphenomenological modelsstress–strain curveactivation energy
spellingShingle Soheil Solhjoo
Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
Modelling
hot deformation
constitutive modeling
phenomenological models
stress–strain curve
activation energy
title Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
title_full Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
title_fullStr Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
title_full_unstemmed Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
title_short Revisiting the Common Practice of Sellars and Tegart’s Hyperbolic Sine Constitutive Model
title_sort revisiting the common practice of sellars and tegart s hyperbolic sine constitutive model
topic hot deformation
constitutive modeling
phenomenological models
stress–strain curve
activation energy
url https://www.mdpi.com/2673-3951/3/3/23
work_keys_str_mv AT soheilsolhjoo revisitingthecommonpracticeofsellarsandtegartshyperbolicsineconstitutivemodel