The occurrence of failure, mechanisms that create failure, and soil behavio
r in the vicinity of failure have been investigated. One mechanism is smoot
h peak failure, in which the soil continues to behave as a continuum with u
niform strains, and smooth peak failure is followed by strain softening. An
other mechanism is shear banding, whose occurrence in the plastic hardening
regime limits the strength of the soil. True triaxial tests have been perf
ormed on tall prismatic specimens of Santa Monica Beach sand at three relat
ive densities in a modified version of a cubical triaxial apparatus to stud
y the effect of shear banding on failure in the full range of the intermedi
ate principal stress. The experiments show that the strength increases as b
[=(sigma (2) - sigma (3))/(sigma (1) - sigma (3))] increases from 0 to abo
ut 0.18, remains almost constant until b reaches 0.85, and then decreases s
lightly at b = 1.0. Shear banding initiates in the hardening regime for b-v
alues of 0.18-0.85. Thus, peak failure is caused by shear banding in this m
iddle range of b-values, and a smooth, continuous 3D failure surface is the
refore not generally obtained for soils.