An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect

This study develops an analytical model for the plastic bending of anisotropic sheet materials, incorporating strain-hardening effects. The model, experimentally validated with aluminum alloy samples and digital image correlation, accurately predicts stress–strain distributions, bending moments, and...

Full description

Saved in:
Bibliographic Details
Main Authors: Yaroslav Erisov, Alexander Kuzin, Andry Sedelnikov
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Technologies
Subjects:
Online Access:https://www.mdpi.com/2227-7080/12/12/236
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850060006482771968
author Yaroslav Erisov
Alexander Kuzin
Andry Sedelnikov
author_facet Yaroslav Erisov
Alexander Kuzin
Andry Sedelnikov
author_sort Yaroslav Erisov
collection DOAJ
description This study develops an analytical model for the plastic bending of anisotropic sheet materials, incorporating strain-hardening effects. The model, experimentally validated with aluminum alloy samples and digital image correlation, accurately predicts stress–strain distributions, bending moments, and thinning behavior in the bending processes. The results reveal that while plastic anisotropy significantly increases the strain intensity, enhancing it by up to 15% on the inner surface relative to the outer under identical bending radius, it does not affect the position of the neutral layer. Strain hardening, on the other hand, raises the bending moment by approximately 12% and contributes to material thinning, which can reach 3% at smaller bend radii. Furthermore, quantitative analysis shows that decreasing the bend radius intensifies the strain, impacting the final geometry of the workpiece. These findings provide valuable insights for optimizing die design and material selection in forming processes involving anisotropic materials, enabling engineers to more precisely control the force requirements and product dimensions in applications where accurate bending characteristics are critical.
format Article
id doaj-art-e56f53e4bbf4444786484a06c732e81e
institution DOAJ
issn 2227-7080
language English
publishDate 2024-11-01
publisher MDPI AG
record_format Article
series Technologies
spelling doaj-art-e56f53e4bbf4444786484a06c732e81e2025-08-20T02:50:43ZengMDPI AGTechnologies2227-70802024-11-01121223610.3390/technologies12120236An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening EffectYaroslav Erisov0Alexander Kuzin1Andry Sedelnikov2Metal Forming Department, Samara National Research University, 34 Moskovskoe Shosse, 443086 Samara, RussiaMetal Forming Department, Samara National Research University, 34 Moskovskoe Shosse, 443086 Samara, RussiaDepartment of Space Engineering, Samara National Research University, 34 Moskovskoe Shosse, 443086 Samara, RussiaThis study develops an analytical model for the plastic bending of anisotropic sheet materials, incorporating strain-hardening effects. The model, experimentally validated with aluminum alloy samples and digital image correlation, accurately predicts stress–strain distributions, bending moments, and thinning behavior in the bending processes. The results reveal that while plastic anisotropy significantly increases the strain intensity, enhancing it by up to 15% on the inner surface relative to the outer under identical bending radius, it does not affect the position of the neutral layer. Strain hardening, on the other hand, raises the bending moment by approximately 12% and contributes to material thinning, which can reach 3% at smaller bend radii. Furthermore, quantitative analysis shows that decreasing the bend radius intensifies the strain, impacting the final geometry of the workpiece. These findings provide valuable insights for optimizing die design and material selection in forming processes involving anisotropic materials, enabling engineers to more precisely control the force requirements and product dimensions in applications where accurate bending characteristics are critical.https://www.mdpi.com/2227-7080/12/12/236circular bendingdeformationstrainstressbending momentstrain hardening
spellingShingle Yaroslav Erisov
Alexander Kuzin
Andry Sedelnikov
An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
Technologies
circular bending
deformation
strain
stress
bending moment
strain hardening
title An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
title_full An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
title_fullStr An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
title_full_unstemmed An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
title_short An Analytical Model for the Plastic Bending of Anisotropic Sheet Materials, Incorporating the Strain-Hardening Effect
title_sort analytical model for the plastic bending of anisotropic sheet materials incorporating the strain hardening effect
topic circular bending
deformation
strain
stress
bending moment
strain hardening
url https://www.mdpi.com/2227-7080/12/12/236
work_keys_str_mv AT yaroslaverisov ananalyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect
AT alexanderkuzin ananalyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect
AT andrysedelnikov ananalyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect
AT yaroslaverisov analyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect
AT alexanderkuzin analyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect
AT andrysedelnikov analyticalmodelfortheplasticbendingofanisotropicsheetmaterialsincorporatingthestrainhardeningeffect