Shape memory alloys (SMA) are a unique class of engineering materials
that can he further exploited with accurate polycrystal constitutive m
odels. Previous investigators have modeled stress-induced martensite f
ormation in unconstrained single crystals. Understanding stress-induce
d martensite formation in constrained single crystals is the next step
towards the development of a constitutive model for textured polycrys
talline SMA. Such models have been previously developed for imposition
of axisymmetric strain on a polycrystal with random crystal orientati
on; the present paper expands the constrained single crystal SMA model
to encompass arbitrary imposed strains. To evaluate the model, axisym
metric tension and compression strains and pure shear strain are impos
ed on three SMA: NiTi, Cu-Al-Ni (beta(1)-->gamma(1)) and Ni-Al. Model
results are then used to understand the anisotropy and asymmetry of tr
ansformation stress in the three SMA considered. Finally, the impact o
f the present results on polycrystal behavior is addressed. Copyright
(C) 1996 Acta Metallurgica Inc.