A new constitutive model for shear banding instability in metallic glass

Haihui Ruan, L. C. Zhang, J. Lu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

36 Citations (Scopus)


Inelastic deformation of metallic glass is through shear banding, characterized by significantly localized deformation and emerged expeditiously under certain stress state. This study establishes a new constitutive model addressing the physical origin of the shear banding. In the modeling, the atomic structural change and the free volume generation are embodied by the plastic shear strain and the associated dilatation. The rugged free energy landscape is adopted to naturally reflect the rate-independent flow stress and flow serrations. Based on this, the conditions for the onset of shear banding instability are established, which enables the explicit calculation of the shear band inclination angle and its extension speed. The study concludes that shear band angle is significantly influenced by the diltancy factor and pressure sensitivity, that a shear band does not increase its thickness once emanated from a deformation unit, that the spreading speed of a shear band is intersonic, and that more shear bands, which lead to higher ductility, can be induced by high strain rates or by the introduction of a second material phase. The analysis also demonstrates that the ductility of metallic glass depends on the sample geometry and/or the stress state.
Original languageEnglish
Pages (from-to)3112-3127
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number21
Publication statusPublished - 15 Oct 2011
Externally publishedYes


  • Bifurcation
  • Constitutive relation
  • Flow serration
  • Instability
  • Metallic glass
  • Shear band

ASJC Scopus subject areas

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


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