Paper Titles
Preface
Thickness Scaling of Forming Limit Curves
p.1
Work Hardening of Dual Phase Steel in Subsequent Tensile Testing with Post-Necking Large Pre-Strain
p.11
Crystal Plasticity Finite-Element Simulations of Cup Drawing of a ZX10 Magnesium Alloy Sheet
p.21
In Situ EBSD Characterisation of Anisotropic Creep Behaviour in a Thick AA2139 Part during In-Forming Artificial Ageing
p.29
Microstructural Modification and Bendability Improvement in 1300 MPa Steel via Induction Surface Heat Treatment
p.39
The Interaction of n- and r-Values and Total Elongation in Forming Limit Curves’ Theories
p.47
Theoretical and Experimental Forming Limit Evaluation of High-Strength Steels up to 1500 MPa
p.57
Evaluation and Comparison of a few Methods for the Strain-Path Correction of FLCs
p.67

Thickness Scaling of Forming Limit Curves

Article Preview
View Pdf By email

Abstract:

A consistent kinematic method was developed to calculate a forming limit curve (FLC) for a material with thickness t*0 from a given FLC pertaining to a different thickness t0 ≠ t*0. The developed method is based on the analysis of the bending strains introduced by the Nakajima test method. To calculate the required strains, an explicit and an implicit procedure are presented. In contrast to its implicit equivalent, the explicit method suffers from an intrinsic error which scales with the material’s gauge and can be quantified by considering the neutral case t*0 = t0. Finally, the developed method predicts a linear relationship between and the material thickness, which is in line with practical experience.

You have full access to the following eBook
Formability of Metallic Materials Read eBook

Info:

Periodical:

Solid State Phenomena (Volume 388)

Pages:

1-9

DOI:

https://doi.org/10.4028/p-Maph4K

Citation:

Cite this paper

Online since:

April 2026

Authors:

Holger Aretz*

Keywords:

Bending, Forming Limit Curve (FLC), Nakajima, Thickness Dependence

Export:

RIS, BibTeX

Permissions:

Creative Commons CC BY 4.0

Share:

Citation:

* - Corresponding Author

References

[1] M. Abspoel, M. E. Scholting, J. M. M. Droog, A new method for predicting Forming Limit Curves from mechanical properties, Journal of Materials Processing Technology 213 (2013) 759-769.

DOI: 10.1016/j.jmatprotec.2012.11.022

Google Scholar

[2] H. Aretz, Pre-strain correction of forming limit curves, Materials Research Proceedings 41 (2024) 948-957.

DOI: 10.21741/9781644903131-104

Google Scholar

[3] E. Axelrad, Schalentheorie, B. G. Teubner Stuttgart, 1983.

Google Scholar

[4] D. Banabic, H.-J. Bunge, K. Pöhlandt, A. E. Tekkaya, Formability of Metallic Materials, Springer-Verlag Berlin Heidelberg GmbH, 2000.

DOI: 10.1007/978-3-662-04013-3

Google Scholar

[5] J. Noder, C. Butcher, A comparative investigation into the influence of the constitutive model on the prediction of in-plane formability for Nakajima and Marciniak tests, International Journal of Mechanical Sciences 163 (2019) 105138.

DOI: 10.1016/j.ijmecsci.2019.105138

Google Scholar

[6] C. H. Suh, Y.-C. Jung, Y. S. Kim, Effects of thickness and surface roughness on mechanical properties of aluminum sheets, Journal of Mechanical Science and Technology 24 (2010) 2091-2098.

DOI: 10.1007/s12206-010-0707-7

Google Scholar

[7] S. Timoshenko, J. M. Gere, Theory of Elastic Stability, 2nd ed., Dover Publication, 2009.

Google Scholar