The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet

To manufacture metal products of accurate size and shape by deep drawing requires the precise control of a number of variables. The problem of spring-back after the load has to be avoided, and the prevention of cracks in the product requires careful control of the punch load. In this study, where dr...

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Main Authors: Tsung-Chia Chen, Ching-Min Hsu, Cheng-Chi Wang
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/11/9/1436
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spelling doaj-9651c11d5fad49198e5abda149a14bda2021-09-26T00:41:45ZengMDPI AGMetals2075-47012021-09-01111436143610.3390/met11091436The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel SheetTsung-Chia Chen0Ching-Min Hsu1Cheng-Chi Wang2Department of Mechanical Engineering, National Chin-Yi University of Technology, Zhongshan Rd., Taiping District, Taichung 411030, TaiwanDepartment of Mechanical Engineering, National Chin-Yi University of Technology, Zhongshan Rd., Taiping District, Taichung 411030, TaiwanGraduate Institute of Precision Manufacturing, National Chin-Yi University of Technology, Zhongshan Rd., Taiping District, Taichung 411030, TaiwanTo manufacture metal products of accurate size and shape by deep drawing requires the precise control of a number of variables. The problem of spring-back after the load has to be avoided, and the prevention of cracks in the product requires careful control of the punch load. In this study, where drawing experiments and simulations were carried out on thin sheets of SUS304 stainless steel, the influence of the scale effect on the thin sheets also needed consideration. This was accomplished by the use of an updated Lagrangian formulation and finite element analysis. Material behavior was simulated using a micro-elastoplastic material model, the performance of which was compared with that of models involving conventional materials. The Dynaform LS-DYNA solver was used for simulation analysis, and pre and postprocessing were carried out to obtain material deformation history as well as to determine thickness change, distribution and material stress, and prepare strain distribution maps. Scaling was necessary to account for the effect of the thickness of the sheet and the relationship between punch load and stroke, the distribution of thickness, stress and strain, and the maximum size (d) of the flanged hole and the maximum height of the flange. The simulation results were compared with experimental results to confirm the accuracy of the three-dimensional finite element analysis of the elastoplastic deformation. The results showed that the size of the fillet radius of the hole (Br) had an effect on the punch load, which increased with an increase in Br. However, the minimum thickness of the formed flange decreased with an increase in Br. The maximum principal stress/strain and height of the flange also increased with an increase in Br. The punch fillet radius (R<sub>p</sub>) also had an impact on the process. The punch load decreased with the increase in R<sub>p</sub>, while the minimum thickness increased slightly. The average values of the minimum thickness for three models were 0.148, 0.0775, and 0.0374 mm. The forming ratio also had an influence on the process. When the forming limit of the square hole flange was <i>FLR</i> = 0.84, cracking occurred in the corners of the flange, and wrinkles formed over the undrawn area of the sheet. These findings can serve as a valuable reference for the design of deep drawing processes.https://www.mdpi.com/2075-4701/11/9/1436deep drawingspring-backstainless steelmaterial deformation history
collection DOAJ
language English
format Article
sources DOAJ
author Tsung-Chia Chen
Ching-Min Hsu
Cheng-Chi Wang
spellingShingle Tsung-Chia Chen
Ching-Min Hsu
Cheng-Chi Wang
The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
Metals
deep drawing
spring-back
stainless steel
material deformation history
author_facet Tsung-Chia Chen
Ching-Min Hsu
Cheng-Chi Wang
author_sort Tsung-Chia Chen
title The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
title_short The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
title_full The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
title_fullStr The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
title_full_unstemmed The Deep Drawing of a Flanged Square Hole in Thin Stainless Steel Sheet
title_sort deep drawing of a flanged square hole in thin stainless steel sheet
publisher MDPI AG
series Metals
issn 2075-4701
publishDate 2021-09-01
description To manufacture metal products of accurate size and shape by deep drawing requires the precise control of a number of variables. The problem of spring-back after the load has to be avoided, and the prevention of cracks in the product requires careful control of the punch load. In this study, where drawing experiments and simulations were carried out on thin sheets of SUS304 stainless steel, the influence of the scale effect on the thin sheets also needed consideration. This was accomplished by the use of an updated Lagrangian formulation and finite element analysis. Material behavior was simulated using a micro-elastoplastic material model, the performance of which was compared with that of models involving conventional materials. The Dynaform LS-DYNA solver was used for simulation analysis, and pre and postprocessing were carried out to obtain material deformation history as well as to determine thickness change, distribution and material stress, and prepare strain distribution maps. Scaling was necessary to account for the effect of the thickness of the sheet and the relationship between punch load and stroke, the distribution of thickness, stress and strain, and the maximum size (d) of the flanged hole and the maximum height of the flange. The simulation results were compared with experimental results to confirm the accuracy of the three-dimensional finite element analysis of the elastoplastic deformation. The results showed that the size of the fillet radius of the hole (Br) had an effect on the punch load, which increased with an increase in Br. However, the minimum thickness of the formed flange decreased with an increase in Br. The maximum principal stress/strain and height of the flange also increased with an increase in Br. The punch fillet radius (R<sub>p</sub>) also had an impact on the process. The punch load decreased with the increase in R<sub>p</sub>, while the minimum thickness increased slightly. The average values of the minimum thickness for three models were 0.148, 0.0775, and 0.0374 mm. The forming ratio also had an influence on the process. When the forming limit of the square hole flange was <i>FLR</i> = 0.84, cracking occurred in the corners of the flange, and wrinkles formed over the undrawn area of the sheet. These findings can serve as a valuable reference for the design of deep drawing processes.
topic deep drawing
spring-back
stainless steel
material deformation history
url https://www.mdpi.com/2075-4701/11/9/1436
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