Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition

Shaofan Li*, Wing Kam Liu, Ares J. Rosakis, Ted Belytschko, Wei Hao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

153 Scopus citations

Abstract

A mesh-free Galerkin simulation of dynamic shear band propagation in an impact-loaded pre-notched plate is carried out in both two and three dimensions. The related experimental work was initially reported by Kalthoff and Winkler (1987), and later re-examined by Zhou et al. (1996a,b), and others. The main contributions of this numerical simulation are as follows: (1) The ductile-to-brittle failure mode transition is observed in numerical simulations for the first time; (2) the experimentally observed dynamic shear band, whose character changes with an increase of impact velocity, propagating along curved paths is replicated; (3) the simulation is able to capture the details of the adiabatic shear band to a point where the periodic temperature profile inside shear band at μm scale can clearly be seen; (4) an intense, high strain rate region is observed in front of the shear band tip, which, we believe, is caused by wave trapping at the shear band tip; it in turn causes damage and stress collapse inside the shear band and provides a key link for self-sustained instability.

Original languageEnglish (US)
Pages (from-to)1213-1240
Number of pages28
JournalInternational Journal of Solids and Structures
Volume39
Issue number5
DOIs
StatePublished - Mar 6 2002

Funding

The authors would like to thank Mr. Dong Qian for helping in post-processing many numerical data. This work is supported by grants from the Army Research Office, National Science Foundations, and Tull Family Endowment. A.J. Rosakis would like to acknowledge the support of the Office of Naval Research (Dr., Y.D.S. Rajapakse, program monitor) through grant no. N00014-95-1-0453.

Keywords

  • Adiabatic shear band
  • Crack propagation
  • Curved shear band
  • Dynamic shear band propagation
  • Failure mode transition
  • Mesh-free methods
  • Multi-physics modeling
  • Strain localization

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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