A model is developed for predicting the crack growth rate in a titaniu
m aluminide alloy under thermomechanical cycling. The model utilizes a
linear summation of cycle-dependent and time-dependent terms, where t
he cycle-dependent behaviour is dependent on temperture as well as DEL
TAK and R. The time-dependent term is obtained through an integration
of da/dt over any cycle, where da/dt depends on K and temperature. A u
nique feature of this model is the use of a retardation coefficient wi
th the crack growth terms to account for creep or stress relaxation un
der load at high temperatures. Evolution equations are derived for the
retardation term, which can vary during an individual load cycle. The
model is calibrated using solely isothermal data and applied to sever
al thermomechanical fatigue conditions, where good correlation is obta
ined between experimental data and model predictions.