Temporal evolution of shear band thickness

J. A. Dilellio*, W. E. Olmstead

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


Boundary layer methods are used to derive expressions for the jump discontinuities in velocity, stress gradient and temperature gradient across a shear band. This analysis also yields an expression for the temporal evolution of the thermal boundary layer width, which can be interpreted as a measure of shear band thickness. The jump discontinuities are used to formulate a simplified version of the boundary value problem for the half-slab geometry. Calculated results for an illustrative example reveal a shear band thickness which evolves by initially narrowing and then later widening as diffusion becomes significant.

Original languageEnglish (US)
Pages (from-to)345-359
Number of pages15
JournalJournal of the Mechanics and Physics of Solids
Issue number3
StatePublished - 1997


  • B. elastic-viscoplastic material
  • C. asymptotic analysis

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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