A novel test method for continuous nonlinear biaxial tensile deformation of sheet metals by bulging with stepped-dies
Author(s)
Type
Journal Article
Abstract
In this paper, a novel test method named bulging with stepped-dies is proposed to overcome the difficulty of traditional
test methods in realizing continuous nonlinear loading paths from initial yield up to fracture on a sheet metal. To
achieve this aim, the section shape of a stepped-die cavity is varied with increasing depth. During bulging with a
stepped-die, the stress state at the pole of bulging area of the sheet changes continuously with the increase in bulging
height, which results in a specific nonlinear loading path. A theoretical model is established to calculate the stress
components at the pole based on the assumption that the bulged surface near the pole was approximated by a
rotational ellipsoid. Bulging experiments with three different stepped-dies are performed by using ST16 steel sheet.
Stress and strain paths up to fracture and equivalent stress-strain curves at the pole are analyzed and compared with
the results of bulging with elliptical dies. It is shown that continuous nonlinear loading paths can be effectively realized
through bulging with stepped-dies and the stress ratio at the pole changes from 0.5 up to 2.0 at most in one bulging
experiment. The feasibility of the novel test method is validated successfully. And the experimental data obtained are
useful to determine constitutive and forming limit models suitable for complex loading conditions.
test methods in realizing continuous nonlinear loading paths from initial yield up to fracture on a sheet metal. To
achieve this aim, the section shape of a stepped-die cavity is varied with increasing depth. During bulging with a
stepped-die, the stress state at the pole of bulging area of the sheet changes continuously with the increase in bulging
height, which results in a specific nonlinear loading path. A theoretical model is established to calculate the stress
components at the pole based on the assumption that the bulged surface near the pole was approximated by a
rotational ellipsoid. Bulging experiments with three different stepped-dies are performed by using ST16 steel sheet.
Stress and strain paths up to fracture and equivalent stress-strain curves at the pole are analyzed and compared with
the results of bulging with elliptical dies. It is shown that continuous nonlinear loading paths can be effectively realized
through bulging with stepped-dies and the stress ratio at the pole changes from 0.5 up to 2.0 at most in one bulging
experiment. The feasibility of the novel test method is validated successfully. And the experimental data obtained are
useful to determine constitutive and forming limit models suitable for complex loading conditions.
Date Issued
2020-03-01
Date Acceptance
2019-11-12
Citation
International Journal of Mechanical Sciences, 2020, 169
ISSN
0020-7403
Publisher
Elsevier
Journal / Book Title
International Journal of Mechanical Sciences
Volume
169
Copyright Statement
© 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
0910 Manufacturing Engineering
0905 Civil Engineering
0913 Mechanical Engineering
Mechanical Engineering & Transports
Publication Status
Published
Article Number
ARTN 105321
Date Publish Online
2019-11-13