On fast fracture in an elastic-(plastic)-viscoplastic solid Part II – The motion of crack
Source abstract
Abstract
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, K I tip, (or equivalently, a modified dynamic energy release, G I tip), which is different from the usual stress intensity factor K I 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.
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OpenAlex topics: Material Properties and Failure Mechanisms · Geotechnical and Geomechanical Engineering · High-Velocity Impact and Material Behavior
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References (47)
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