Dynamic crack tip fields at steady growth and vanishing strain-hardening
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Solutions for propagating mode III cracks in elastic perfectly-plastic solids are obtained as the limit solutions for infinitesimal crack tip speed and infinitesimal linear strain-hardening. The solution for a perfectly plastic material by Chitaley and McClintock (1971, J. Mech. Phys. Solids 19, 147) is not obtained. A point above or below the crack plane will experience first a centred-fan slip line field, followed by elastic unloading and finally a plastic sector where reloading occurs at constant stress. A turning-point and a boundary layer develop immediately before elastic unloading occurs. This takes place at 32.8° in the quasi-static limit and at angles up to about 38° if inertia is considered. This should be compared with 19.7° for perfect plasticity. One key result is that even a very small crack tip speed affects the neartip conditions appreciably. Another noteworthy result is that stress rates change continuously through a fast wave, which in the limit will form a jump. The result is a discontinuous stress rate that may not be assumed a priori.
Ämnesklassifikation (UKÄ) – OBLIGATORISK
|Tidskrift||Journal of the Mechanics and Physics of Solids|
|Status||Published - 1993 jan 1|
|Peer review utförd||Ja|