A Palatini variational formulation enlarges Cosserat theory by making torsion and curvature independent defect measures, producing balance laws, defect excitations, and configurational forces via Noether currents tied to Bianchi identities.
Roychowdhury, Geometry and Mechanics of Defects in Structured Surfaces
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A variationally consistent mesoscopic Cosserat theory with distributed defects and configurational forces
A Palatini variational formulation enlarges Cosserat theory by making torsion and curvature independent defect measures, producing balance laws, defect excitations, and configurational forces via Noether currents tied to Bianchi identities.