A structure-preserving & objective discretisation of SO(3)-matrix rotation fields for finite Cosserat micropolar continua
arXiv:2602.15147v1 Announce Type: new Abstract: We introduce a new method, dubbed textbf{textit{Geometric Structure-Preserving Interpolation ({Gamma}-SPIN)}}, to simultaneously preserve physics-constraints inherent in the material parameter limits of the finite-strain Cosserat micropolar model, and satisfy objectivity under superimposed rigid body motions. The method advocates to interpolate the Cosserat rotation tensor using geodesic elements, which maintain objectivity and correctly represent curvature measures. At the same time, it proposes relaxing the interaction between the rotation tensor and the deformation tensor to alleviate […]