Physics-constrained field solvers
See the local differences. Understand the response.
Grains, inclusions and imperfect interfaces create local differences in material response. Physics-constrained neural fields resolve those differences and form a foundation for reusable material prediction.
GPDNN field representation
Make the effect of imperfect bonding visible.
Localized interface imperfections change how layers transfer load. Neural field solvers resolve the displacement and stress around these regions, revealing the role of interface structure.

Solve fields using physical constraints.
Use energy and governing equations to resolve the fields that connect internal material structure to mechanical response.

Resolve the response inside a polycrystal.
Different grain orientations produce different local responses. Field solutions connect that internal variation to aggregate elastic behavior.
