Geo-FNO
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zongyi-li
Problems about some details
Excellent work! And I have some questions about some details.
- "The target output is stress." in section Hyper-elastic material in the paper. What does the stress mean here? Is it a Mises-stress or some type stress tensor? I guess it a Mises-stress, because in the code I found
out_channelis set to 1. - Could 2-dim geoFNO handle the problem of multichannel output? For example, given geometry and boundary, could the 2-dim FNO output a stress tensor?
Thanks!
- yes, the output is the Mises-stress.
- yes, it's possible to output the stress tensor. Usually, we just use a larger out_channel.
Yeah, I mean, in my experiment using a larger out_channel doesn't go well often, and in fact in many papers they just use muti models, which raises a question for me. You know, in solid mechanics, we have a vector of field output (every element of the vector is a function in field). And I wonder if the term"Neural Operator" in which the word "operator" means a mapping from a function space to another in math, implies that a single operator model cannot predict a vector field very well. And I believe we may create a stronger model to predict muti channel output.
Thanks!
- yes, the output is the Mises-stress.
- yes, it's possible to output the stress tensor. Usually, we just use a larger out_channel.
I see. If a larger out_channel doesn't go well, you can try with more sophisticated methods like the Clifford neural operators https://arxiv.org/pdf/2209.04934.pdf
Wow, that's amazing!
I see. If a larger out_channel doesn't go well, you can try with more sophisticated methods like the Clifford neural operators https://arxiv.org/pdf/2209.04934.pdf