Analysis of microbending of CuZn37 brass foils based on strain gradient hardening models

He Zong Li*, Xiang Huai Dong, Yu Shen, Rui Zhou, Alexander Diehl, Hinnerk Hagenah, Ulf Engel, Marion Merklein, Jian Cao

*Corresponding author for this work

Research output: Contribution to journalArticle

24 Scopus citations


Microbending experiments of brass foils were conducted and demonstrated clear size effects, i.e., the normalized bending moment increased with the reduction of foil thickness. The experiments were modeled using the classical plasticity model and three strain-gradient plasticity models. A modified Nix-Gao model was proposed to consider the number of twins across the thickness direction in strain hardening. It was found that the proposed model could better predict the normalized bending moment for both fine-grain and coarse-grain foils and the proposed equation for material intrinsic length could better capture the physics of material deformation. Furthermore, micro-hardness distributions in the bending area were measured and obvious lower-hardness region was found in the middle layer of fine-grain foils instead of coarse-grain foils. This indicates that the modified Nix-Gao model and the assumption of fully plastic bending worked better for coarse-grain foils than for fine-grain foils.

Original languageEnglish (US)
Pages (from-to)653-661
Number of pages9
JournalJournal of Materials Processing Technology
Issue number3
StatePublished - Mar 1 2012


  • Bending moment
  • CuZn37 brass
  • Material intrinsic length
  • Microbending
  • Strain gradient

ASJC Scopus subject areas

  • Ceramics and Composites
  • Computer Science Applications
  • Metals and Alloys
  • Industrial and Manufacturing Engineering

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