On the finite opening of intersonic shear cracks

B. Chen, Y. Huang*, H. Gao, W. Yang

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Recent molecular dynamics simulations of dynamic crack propagation have shown that there is a finite crack opening for a shear crack propagating at a sub-Rayleigh speed, but the crack opening becomes significantly smaller once the crack tip velocity exceeds the shear wave speed. To understand this difference between the crack opening for sub-Rayleigh and intersonic shear cracks, we develop in this paper a finite deformation continuum theory incorporating the linear harmonic potential to describe the deformation of a crack in a solid with triangular lattice structure. Using the asymptotic method developed by Knowles [Eng. Fract. Mech. 15 (1981) 469], we show that even after the geometric nonlinearity of finite deformation is accounted for, the intersonic shear cracks have a vanishing crack opening displacement.

Original languageEnglish (US)
Pages (from-to)2293-2306
Number of pages14
JournalInternational Journal of Solids and Structures
Volume41
Issue number9-10
DOIs
StatePublished - May 1 2004

Keywords

  • Crack opening
  • Intersonic crack
  • Linear harmonic potential

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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