Fj. Zerilli et Rw. Armstrong, DISLOCATION MECHANICS BASED ANALYSIS OF MATERIAL DYNAMICS BEHAVIOR - ENHANCED DUCTILITY, DEFORMATION TWINNING, SHOCK DEFORMATION, SHEAR INSTABILITY, DYNAMIC RECOVERY, Journal de physique. IV, 7(C3), 1997, pp. 637-642
Further developments are described for the dislocation mechanics based
constitutive equation analysis previously used to describe the separa
te dynamic stress-strain behavior of fee and bcc metal polycrystals. A
n enhanced hardening and ductility in copper and certain tantalum mate
rials at higher strain rates in split Hopkinson pressure bar tests and
in shock loading are attributed to enhanced dislocation generation ra
ther than to dislocation drag. Added material strengthening is account
ed for also by deformation twinning in ARMCO iron and titanium and in
shocked copper and tantalum. The separate equations are applied to cal
culate the critical strain for shear banding in copper, iron, and the
titanium alloy, Ti-6Al-4V. In the two latter cases, the results are ve
ry sensitive to the details of the strain-hardening behavior and the n
eed is demonstrated for a dynamic recovery factor to account for the o
nset of shear banding. Consideration is given also to the possibility
that shear band behavior requires explanation on a more fundamental Ha
ll-Fetch dislocation pile-up basis.