How to couple two physics model both are time dependent and affect each other

Hi, I have a problem like this.
For a simple description:
model 1 (corrosion): F1=(X1,X2,X3, F2, t), for example F1 is corrosion depth, F2 is stress
model2 (solid mechanical ): F2=(Y1,Y2,Y3, F1, t).
Because the stress will affect the corrosion rate and corrosion depth ,then corrosion depth
will affect stress with time, so at different time, there are different F1 and F2.
I have try some methods ,but I cant get results.
If there without time dependent , I can figure out , now with time dependent, I dont know
how to do.
Anybody can help me how to build step to solve this coupled problem with time dependent.

Thanks very much.!