Revisiting Veerman’s interpolation method

Peter Christiansen, Niels Oluf Bay

Research output: Contribution to journalJournal articleResearchpeer-review

132 Downloads (Pure)

Abstract

This article describes an investigation of Veerman’s interpolation method and its applicability for determining sheet metalformability. The theoretical foundation is established and its mathematical assumptions are clarified. An exact Lagrangianinterpolation scheme is also established for comparison. Bulge testing and tensile testing of aluminium sheets containingelectro-chemically etched circle grids are performed to experimentally determine the forming limit of the sheet material.The forming limit is determined using (a) Veerman’s interpolation method, (b) exact Lagrangian interpolation and (c) FEsimulations. A comparison of the determined forming limits yields insignificant differences in the limit strain obtainedwith Veerman’s method or exact Lagrangian interpolation for the two sheet metal forming processes investigated. Theagreement with the FE-simulations is reasonable.
Original languageEnglish
JournalInstitution of Mechanical Engineers. Proceedings. Part L: Journal of Materials: Design and Applications
Volume233
Issue number2
Pages (from-to)189-196
ISSN1464-4207
DOIs
Publication statusPublished - 2019

Keywords

  • Forming limit curve
  • Veerman’s interpolation method
  • Bulge testing
  • Grid analysis

Cite this

@article{be8232a842144a219d44d692a22e4afe,
title = "Revisiting Veerman’s interpolation method",
abstract = "This article describes an investigation of Veerman’s interpolation method and its applicability for determining sheet metalformability. The theoretical foundation is established and its mathematical assumptions are clarified. An exact Lagrangianinterpolation scheme is also established for comparison. Bulge testing and tensile testing of aluminium sheets containingelectro-chemically etched circle grids are performed to experimentally determine the forming limit of the sheet material.The forming limit is determined using (a) Veerman’s interpolation method, (b) exact Lagrangian interpolation and (c) FEsimulations. A comparison of the determined forming limits yields insignificant differences in the limit strain obtainedwith Veerman’s method or exact Lagrangian interpolation for the two sheet metal forming processes investigated. Theagreement with the FE-simulations is reasonable.",
keywords = "Forming limit curve, Veerman’s interpolation method, Bulge testing, Grid analysis",
author = "Peter Christiansen and Bay, {Niels Oluf}",
year = "2019",
doi = "10.1177/1464420716667758",
language = "English",
volume = "233",
pages = "189--196",
journal = "Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications",
issn = "1464-4207",
publisher = "SAGE Publications",
number = "2",

}

Revisiting Veerman’s interpolation method. / Christiansen, Peter; Bay, Niels Oluf.

In: Institution of Mechanical Engineers. Proceedings. Part L: Journal of Materials: Design and Applications, Vol. 233, No. 2, 2019, p. 189-196.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Revisiting Veerman’s interpolation method

AU - Christiansen, Peter

AU - Bay, Niels Oluf

PY - 2019

Y1 - 2019

N2 - This article describes an investigation of Veerman’s interpolation method and its applicability for determining sheet metalformability. The theoretical foundation is established and its mathematical assumptions are clarified. An exact Lagrangianinterpolation scheme is also established for comparison. Bulge testing and tensile testing of aluminium sheets containingelectro-chemically etched circle grids are performed to experimentally determine the forming limit of the sheet material.The forming limit is determined using (a) Veerman’s interpolation method, (b) exact Lagrangian interpolation and (c) FEsimulations. A comparison of the determined forming limits yields insignificant differences in the limit strain obtainedwith Veerman’s method or exact Lagrangian interpolation for the two sheet metal forming processes investigated. Theagreement with the FE-simulations is reasonable.

AB - This article describes an investigation of Veerman’s interpolation method and its applicability for determining sheet metalformability. The theoretical foundation is established and its mathematical assumptions are clarified. An exact Lagrangianinterpolation scheme is also established for comparison. Bulge testing and tensile testing of aluminium sheets containingelectro-chemically etched circle grids are performed to experimentally determine the forming limit of the sheet material.The forming limit is determined using (a) Veerman’s interpolation method, (b) exact Lagrangian interpolation and (c) FEsimulations. A comparison of the determined forming limits yields insignificant differences in the limit strain obtainedwith Veerman’s method or exact Lagrangian interpolation for the two sheet metal forming processes investigated. Theagreement with the FE-simulations is reasonable.

KW - Forming limit curve

KW - Veerman’s interpolation method

KW - Bulge testing

KW - Grid analysis

U2 - 10.1177/1464420716667758

DO - 10.1177/1464420716667758

M3 - Journal article

VL - 233

SP - 189

EP - 196

JO - Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications

JF - Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications

SN - 1464-4207

IS - 2

ER -