I was hoping to simulate a material with temperature dependent thermal conductivity that is also lower in the z-direction. I don't think this is currently achievable. Would a proportional increase in the z-direction dimensions achieve the same thing? How about adding thin layers of lower CTC material (sounds very clumsy)? Any other tricks?
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You can do it using CalculiX by manually entering the cards for a material, including *CONDUCTIVITY which allows orthotropic temperature dependent conductivities.
Your idea of scaling the model in the Z direction sounds quite ingenious but it doesn't work in a test I just did. See attachment. Temperatures aren't the same on the stretched and non-stretched copies of the ball. Maybe it would be OK with simpler more 2D like geometry.