Influence of symmetry and bifurcation on the uniaxial loading behaviour of b.c.c. metals

Publisher Website
Google Scholar
Abstract
Theoretical symmetry and bifurcation considerations are used to analyse the elastic responses of b.c.c. crystals loaded uniaxially in the principal symmetry directions. These analyses predict the following behaviour. Available experimental evidence and theoretical evidence are in full agreement for b.c.c. iron, the b.c.c. alkali metals and the β-brasses. This agreement lends added significance to the model for f.c.c.-b.c.c. transitions, under uniaxial load, suggested by Milstein and Farber. In contrast, in terms of their uniaxial loading behaviour, the transition metals of group V (V, Nb and Ta) and group VI (Cr, Mo and W) are characterized as ‘pseudo-s.c’ crystals; i.e. typically E 100 > E 110 > E 111, as expected for s.c. crystals; furthermore, for Nb, δ 111 0, as is inconsistent with the expected behaviour of a b.c.c. crystal but consistent with that of an s.c. crystal (Nb is the only group V or VI b.c.c. transition metal for which sufficient experimental data were available for computation of nonlinearity constants).

This publication has 18 references indexed in Scilit: