Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process

In the numerical simulation of hot forming processes, the correct description of material flow stress is very important for the accuracy of the results. For complex manufacturing processes, such as the rotary tube piercing (RTP), constitutive laws based on both power and exponential mathematical exp...

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Main Authors: Alberto Murillo-Marrodán, Eduardo García, Jon Barco, Fernando Cortés
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/19/4289
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spelling doaj-0c6cdeb7578c44ad999ef9039e77d3412020-11-25T02:46:19ZengMDPI AGMaterials1996-19442020-09-01134289428910.3390/ma13194289Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing ProcessAlberto Murillo-Marrodán0Eduardo García1Jon Barco2Fernando Cortés3Department of Mechanics, Design and Industrial Management, University of Deusto, Avda Universidades 24, 48007 Bilbao, SpainDepartment of Mechanics, Design and Industrial Management, University of Deusto, Avda Universidades 24, 48007 Bilbao, SpainR&D Department, Tubos Reunidos Industrial, Barrio Sagarribai 2, 01470 Amurrio, SpainDepartment of Mechanics, Design and Industrial Management, University of Deusto, Avda Universidades 24, 48007 Bilbao, SpainIn the numerical simulation of hot forming processes, the correct description of material flow stress is very important for the accuracy of the results. For complex manufacturing processes, such as the rotary tube piercing (RTP), constitutive laws based on both power and exponential mathematical expressions are commonly used due to its inherent simplicity, despite the limitations that this approach involves, namely, the use of accumulated strain as a state parameter. In this paper, a constitutive model of the P91 steel derived from the evolution of dislocation density with strain, which takes into account the mechanisms of dynamic recovery (DRV) and dynamic recrystallization (DRX), is proposed for the finite element (FE) analysis of the RTP process. The material model is developed in an incremental manner to allow its implementation in the FE code FORGE<sup>®</sup>. The success of this implementation is confirmed by the good correlation between results of the simulation and experimental measurements of the manufactured tube (elongation, twist angle, mean wall thickness and eccentricity). In addition, this incremental model allows addressing how the restoring mechanisms of DRV and DRV occur during the RTP process. The analysis puts into evidence that DRV and DRX prevail over each other cyclically, following an alternating sequence during the material processing, due mainly to the effect of the strain rate on the material.https://www.mdpi.com/1996-1944/13/19/4289incremental modelconstitutive modelmetal formingrotary tube piercingFE analysistube eccentricity
collection DOAJ
language English
format Article
sources DOAJ
author Alberto Murillo-Marrodán
Eduardo García
Jon Barco
Fernando Cortés
spellingShingle Alberto Murillo-Marrodán
Eduardo García
Jon Barco
Fernando Cortés
Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
Materials
incremental model
constitutive model
metal forming
rotary tube piercing
FE analysis
tube eccentricity
author_facet Alberto Murillo-Marrodán
Eduardo García
Jon Barco
Fernando Cortés
author_sort Alberto Murillo-Marrodán
title Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
title_short Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
title_full Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
title_fullStr Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
title_full_unstemmed Application of an Incremental Constitutive Model for the FE Analysis of Material Dynamic Restoration in the Rotary Tube Piercing Process
title_sort application of an incremental constitutive model for the fe analysis of material dynamic restoration in the rotary tube piercing process
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2020-09-01
description In the numerical simulation of hot forming processes, the correct description of material flow stress is very important for the accuracy of the results. For complex manufacturing processes, such as the rotary tube piercing (RTP), constitutive laws based on both power and exponential mathematical expressions are commonly used due to its inherent simplicity, despite the limitations that this approach involves, namely, the use of accumulated strain as a state parameter. In this paper, a constitutive model of the P91 steel derived from the evolution of dislocation density with strain, which takes into account the mechanisms of dynamic recovery (DRV) and dynamic recrystallization (DRX), is proposed for the finite element (FE) analysis of the RTP process. The material model is developed in an incremental manner to allow its implementation in the FE code FORGE<sup>®</sup>. The success of this implementation is confirmed by the good correlation between results of the simulation and experimental measurements of the manufactured tube (elongation, twist angle, mean wall thickness and eccentricity). In addition, this incremental model allows addressing how the restoring mechanisms of DRV and DRV occur during the RTP process. The analysis puts into evidence that DRV and DRX prevail over each other cyclically, following an alternating sequence during the material processing, due mainly to the effect of the strain rate on the material.
topic incremental model
constitutive model
metal forming
rotary tube piercing
FE analysis
tube eccentricity
url https://www.mdpi.com/1996-1944/13/19/4289
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