Linear elastic simulation - correlation between alpha, temperature and stress?

[nelros]

Hi,
I'm doing linear-elastic simulations with a model consisting of two materials.
The difference between those materials is the alpha coefficient.
By editing the values of these alphas I receive different stresses for S22 and S33.
Is there any possibility to calculate the stresses without running a simulation.
I am thinking of linear combination of the alphas to receive the needed stresses.
E.g. x1*alpha1*T + x2*alpha1 ... = S22


I would appreciate any suggestions.

Greetings