Summary
A perturbation analysis has been used to obtain a detailed and fundamental understanding of the high strain-rate material mechanisms associated with material instabilities and adiabatic shear-band formation in single body-centered cubic (b.c.c.) crystals. The interrelated effects of wave number, shear-band orientation, strain hardening, strain-rate sensitivity, and thermal and geometrical softening on material instability and shear-strain localization have been investigated in terms of the competition between the softening and hardening mechanisms for nominal strain-rates from 100/s to 5000/s. A perturbed system of equations has been obtained, accounting for arbitrary crystal orientations, and since no approximations have been made for the magnitude of the strain-rate sensitivity parameter, all the roots associated with the stability of the perturbed equations can be obtained for physically representative deformations. Hence, a comprehensive characterization of material instabilities can be obtained beyond the initial instability point, and the strength of material instabilities can be then monitored throughout the deformation history to distinguish between material instabilities and shear-strain localization.
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Baucom, J.N., Zikry, M.A. Perturbation analysis of high strain-rate shear localization in B.C.C. crystalline materials. Acta Mechanica 137, 109–129 (1999). https://doi.org/10.1007/BF01313148
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DOI: https://doi.org/10.1007/BF01313148