Adaptive finite element computations of shear band formation

Th Baxevanis*, Theodoros Katsaounis, Athanasios Tzavaras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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
Volume20
Issue number3
DOIs
StatePublished - Mar 1 2010

Keywords

  • Adaptive finite elements
  • Localization
  • Shear bands

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Adaptive finite element computations of shear band formation'. Together they form a unique fingerprint.

Cite this