The aim of this paper is to present a micromechanical modelling of the
two way memory effect in NiTi shape memory alloys. The martensitic tr
ansformation is governed either by stress or temperature and its evolu
tion is described by the volume fraction of martensite for each varian
t. The dependence of the resolved shear stress acting on the habit pla
ne and along the direction of shape change on both the volume fraction
and the temperature is postulated from thermodynamics. Such a relatio
nship is established by dividing the resolved shear stress into a firs
t part associated to the chemical and elastic energies and a second ir
reversible part reflecting mainly the energy dissipated during the int
erface movement. The polycrystal behaviour is then derived from the si
ngle crystal one assuming a uniform stress state over the whole sample
. Regarding the two way memory effect, the irreversible part of the st
ress is taken dependent on the activity of the variants during the tra
ining, i.e. it increases for non-induced variants. simulated results a
re presented which are consistent with experimental works.