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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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 |
work_keys_str_mv |
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