The result obtained from my research showing that,
higher unit cell volume produce higher mechanical strength, but the strength reduce at the longer + higher temperature..same goes with the unit cell volume.
There could be non uniform grain growth at higher temperatures. Also dislocations may move to the grain boundaries much faster at elevated temperatures (creep). You may want to check the effect of non alumina particulates on to the grain structure and grain growth at the elevated temperatures.
The unit volume variations definitely affects the elastic constants as well as the thermal expansion coefficients as long as the pairwise atomic interaction potentials have terms higher order than the quadratic connections. That means pairwise interaction forces are nonlinear.
To find a reason for what you said, it is really important to know what is the origin of the difference in unit cell volume? by changing the crystal structure, by changing the atoms or changing the temperature?
The volume of the unit cell affects on the mechanical properties of materials. It is strongly affects on the microstrain, the internal residual stresses and the crystal imperfections.