International Journal of Fracture

, Volume 129, Issue 2, pp 177–195 | Cite as

On fast fracture in an elastic-(plastic)-viscoplastic solid Part II – The motion of crack

  • Meng Lu
  • Yiu-Wing Mai


The motion of a crack in an elastic-(plastic )-viscoplastic medium is studied in terms of an energetic analysis. Combined with the stress and velocity fields obtained in Part 1, Kishimoto's energy integral, Ĵ, is used as a crack driving force to determine its motion. The major results obtained are: (1) dependence of crack speed on a modified near-field parameter, KI tip, (or equivalently, a modified dynamic energy release, GI tip), which is different from the usual stress intensity factor KI of an elastic crack-tip field but is related to it; (2) influence of inelastic effect, such as the viscoplastic exponent n, on the motion of the crack; and (3) stability condition of crack motion. In particular, for the last point, it has been found that, for a given loading and material coefficients, there exist two possible motions of the crack: one is stable crack growth and the other is unstable fracture. The lower and upper bounds of crack motion are also discussed. It is finally shown that the maximum crack velocity is lower than the Rayleigh wave speed, and is dependent on the viscoplastic exponent of the material.

Dynamic fracture motion of crack elastic-viscoplastic material asymptotic analysis crack instability. 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.Centre for Advanced Materials Technology (CAMT)School of Aerospace, Mechanical and Mechatronic Engineering J07The University of SydneyAustralia

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