Similarity considerations on the simulation of turning processes of steels

Lionel Delonnoy, Thomas Hochrainer, Volker Schulze*, Detlef Löhe, Peter Gumbsch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In order to investigate size effects occurring in the miniaturization of turning processes a complete dimensional analysis using a materials model for high-speed deformation was performed. The derived dimensionless similarity numbers were used to guide the parameter variation in simplified two-dimensional finite-element simulations for orthogonal cutting. The rate-dependent material model leads to size effects like an increase of the specific cutting force while reducing the cutting depth. A counter-intuitive dependence of the cutting force on cutting velocity is explained using a shear-plane model. The derived dependencies on single input parameters are used to predict output values while simultaneously changing several input parameters.

Original languageEnglish
Pages (from-to)761-769
Number of pages9
JournalZeitschrift für Metallkunde
Issue number7
Publication statusPublished - Aug 2005


  • Similarity rules
  • Size effects
  • Turning process

ASJC Scopus subject areas

  • Metals and Alloys

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