Revisiting Veerman’s interpolation method

Peter Christiansen, Niels Oluf Bay

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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

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