Adaptive finite element computations of shear band formation

Th Baxevanis*, Th Katsaounis, A. E. Tzavaras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We study numerically an instability mechanism for the formation of shear bands at high strain-rate deformations of metals. We use a reformulation of the problem that exploits scaling properties of the model, in conjunction with adaptive finite element methods of any order in the spatial discretization and implicit RungeKutta methods with variable step in time. The numerical schemes are of implicitexplicit type and provide adequate resolution of shear bands up to full development. We find that from the initial stages, shear band formation is already associated with collapse of stress diffusion across the band and that process intensifies as the band fully forms. For fully developed bands, heat conduction plays an important role in the subsequent evolution by causing a delay or even stopping the development of the band.

Original languageEnglish (US)
Pages (from-to)423-448
Number of pages26
JournalMathematical Models and Methods in Applied Sciences
Issue number3
StatePublished - Mar 2010
Externally publishedYes


  • Adaptive finite elements
  • Localization
  • Shear bands

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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