Material Property Inverse Optimization using NEML2 about moose

[lindsayad]

Pinging @lynnmunday and @maxnezdyur for their awareness

[lindsayad]

we need to make sure we're not repeating ourselves

[lindsayad]

Isn't this redundant with work in the optimization module? See the "PDE Derivative for Material Inversion" section of https://mooseframework.inl.gov/modules/optimization/theory/InvOptTheory.html

[dewenyushu]

Isn't this redundant with work in the optimization module? See the "PDE Derivative for Material Inversion" section of https://mooseframework.inl.gov/modules/optimization/theory/InvOptTheory.html

Thanks @lindsayad for your comment.

This is a capability improvement for the optimization module. The current optimization module can do force and heat source inversion, but material inversion is more complicated than that. Material inversion is often dependent on the material constitutive relations, and requires derivative of the stress with respect to the interested material property. For getting the derivatives, we are trying to leverage NEML2's gradient calculation using AD and back-propagation.

(Apologies about the late reply - I am not receiving Github notifications recently for some reason, even though I updated my email settings multiple times...)